Tải bản đầy đủ (.pdf) (114 trang)

Nghiên cứu và chế tạo mô hình máy bay quadrocopter

Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (3.66 MB, 114 trang )

i
75ѬӠ1*ĈҤ,+Ӑ&6Ѭ3+Ҥ0.Ӻ7+8Ұ773+&0
.+2$&Ѫ.+Ë&+ӂ7Ҥ20È<
%Ӝ0Ð1&ѪĈ,ӊ17Ӱ
WX





ĈӖÈ17Ӕ71*+,ӊ3


1*+,Ç1&ͨ8 9¬ &+ɻ 7ɝ2
0Ð+Î1+0È<%$<QUADROCOPTER








GVHD: Th.S 3KҥP%ҥFK'ѭѫQJ
SVTH : 1JX\ӉQ+ҧLĈăQJ7kP
MSSV: 06111089
SVTH : 1JX\ӉQ/r1KұW7KҳQJ
MSSV: 06111096





73+Ӗ&+Ë0,1+WKiQJ1 QăP11
ii
%ӝ*LiRGөFYjĈjRWҥR
7UѭӡQJĈҥLKӑF6ѭ3KҥP.ӻ7KXұW7S+&0
.KRD&ѫNKt&KӃWҥRPi\
%ӝP{Q&ѫĈLӋQ7ӱ
o0o
&ӝQJ+Rj;m+ӝL&Kӫ1JKƭD9LӋW1DP
ĈӝFOұS± 7ӵGR± +ҥQKSK~F
o0o
1+,ӊ09ӨĈӖÈ17Ӕ71*+,ӊ3

+ӑYjWrQ 1JX\ӉQ+ҧLĈăQJ7kP MSSV: 06111089
1JX\ӉQ/r1KұW7KҳQJ MSSV: 06111096
/ӟS61111 1JjQK&ѫÿLӋQWӱ
1.1. 7Ç1ĈӖÈ1
1*+,Ç1&Ӭ89¬ &+ӂ7Ҥ2
0Ð+Î1+0È<BAY QUADROCOPTER
1.2. 1+,ӊ09Ө
- 7KLӃWNӃYjWKLF{QJP{KuQKQuadURFRSWHUYӟLFiFWKLӃWEӏWѭѫQJWKtFK
- ;k\GӵQJWKXұWWRiQÿLӅXNKLӇQQuadrocopter Fy NKҧQăQJWӵWKăQJEҵQJ
WUrQWUөFED\FkQEҵQJWURQJNK{QJWUXQJ
- ;k\GӵQJFKѭѫQJWUuQKJLiPViWWӯPi\WtQKGQJLabVIEW
1. 1Jj\JLDRQKLӋPYөÿӅWjL: 30/08/2010
2. 1Jj\KRjQWKjQKQKLӋPYө 21/01/2011
3. +ӑYjWrQJLiRYLrQ KѭӟQJGүQ7K6. 3KҥP%ҥFK'ѭѫQJ
4. +ӑYjWrQJLiRYLrQ SKҧQELӋQ ThS. /r7KDQK7QJ
1ӝLGXQJYj\rXFҫXĈ$71ÿmWK{QJTXD%ӝP{Q
1Jj\«WKiQJ «QăP

&+Ӫ1+,ӊ0%Ӝ0Ð1 *,È29,Ç1+ѬӞ1*'Ү1






3+Ҫ1'¬1+&+2.+2$%Ӝ0Ð1
1JѭӡLGX\ӋWFKҩPVѫEӝ
ĈѫQYӏ
1Jj\EҧRYӋ
ĈLӇPWәQJNӃW
1ѫLOѭXWUӳGӵiQ
iii
1KұQ[pWFӫDgLiRYLrQKѭӟQJGүQ

««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««

««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««

TP.+&0QJj\ WKiQJ QăP11







Th.S 3KҥP%ҥFK'ѭѫQJ


iv
NKұQ[pWFӫDJLiRYLrQSKҧQELӋQ


««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««

««««««««««««««««««««««««««««««««

TP.+&0QJj\ WKing QăP11







Th.S /r7KDQK7QJ

v


/Ӡ,&Ҧ0Ѫ1

7UѭӟFWLrQ, FK~QJHP [LQÿѭӧFJӱLOӡLFҧPѫQWUkQWUӑQJYjVkXVҳF QKҩW ÿӃQWKҫ\
3KҥP%ҥFK'ѭѫQJ - QJѭӡL ÿmKӃWVӭFWҥRÿLӅXNLӋQYjWұQWuQKKѭӟQJGүQJySê,
ÿӝQJYLrQ FK~QJHP trong VXӕWTXiWUuQKQJKLrQFӭXWKӵFKLӋQÿӗiQQj\

;LQFKkQWKjQKFҧPѫQ ÿӃQWҩWFҧ TXêWKҫ\F{WKXӝF.hoa CѫNKt &KӃWҥR Pi\
BӝP{Q&ѫÿLӋQWӱWUѭӡQJĈҥLhӑF6ѭpKҥP.ӻ tKXұW7P.HCMQKӳQJQJѭӡL ÿmWUDQJ
EӏFKRFK~QJHPQKӳQJNLӃQWKӭFFѫEҧQFNJQJQKѭÿmQKLӋWWuQK KѭӟQJGүQ JL~Sÿӥ
FK~QJHP WURQJVXӕWNKyDKӑF YӯDTXD

Vj VDXFQJ, [LQÿѭӧFFҧPѫQ, FKLDVҿQLӅPYXLQj\YӟLJLDÿuQKQJѭӡLWKkQ,
FQJWұSWKӇOӟS&ѫÿLӋQWӱNKyD- QKӳQJQJѭӡLÿmOX{QӣErQ, TXDQWkP JL~Sÿӥ
YjWҥRÿLӅXNLӋQWKXұQOӧLÿӇ FK~QJ W{LÿѭӧFKӑFWұSQJKLrQFӭX Yj KRjQWKjQKÿӗiQ
WӕWQJKLӋSQj\.


7S+ӗ&Kt0LQKQJj\01 WKiQJ01 QăP11

1KyP WKӵFKLӋQ
1JX\ӉQ+ҧLĈăQJ7kP

1JX\ӉQ/r1KұW7KҳQJ


vi



7Ï07Ҳ7%È2&È2

QuadURFRSWHUFzQÿѭӧFJӑLOjQuadrotor HHOLFRSWHUOjPӝWGҥQJPi\ED\OrQ
WKҷQJÿѭӧFQkQJEӣLEӕQFiQKTXҥWÿһWWUrQPӝWNKXQJFKӳWKұS
0{ KuQK ÿѭӧF [k\ GӵQJ WKӓD PmQ Fҧ  \ӃX Wӕ Oj QKҽ Yj FKҳF FKҳQ 1KӳQJ
FKX\ӇQÿӝQJFӫDP{KuQKÿѭӧFÿRÿҥFWK{QJTXDEӝ,08 (Inertial0HDVXUHPHQW8QLW
FzQJӑLOjEӝÿROѭӡQJTXiQWtQK) EDRJӗPPӝWFRQTXD\KӗLFKX\ӇQhai WUөFYjFҧP
ELӃQÿӝQJKLrQJEDWUөFYjÿѭDYӅYLÿLӅXNKLӇQWKӵFKLӋQWKXұWWRiQÿLӅXNKLӇQ PID
cho ÿӝQJFѫWK{QJTXDSKѭѫQJSKiSÿLӅXFKӃÿӝUӝQJ[XQJ3:0







vii




ABSTRACT

A Quadrocopter, also called a Quadrotor Helicopter, is an aircraft that is lifted by
four rotors on a cross-shaped frame.
We succeeded in building a Quadrocopter with stiff and lightweight structure.
Our Quadrocopter¶V in-flight dynamics was measured via an IMU (Inertial
Measurement Unit) which equipped with a dual-axis gyroscope and a three axis tilt-
sensor. A microcontroller took these sensorV¶ inputs and performed PID control
algorithm on the four motors by varying PWM signals sent to each of the motors.

viii
0Ө&/Ө&
7UDQJEuD i
1KLӋPYөÿӗiQWӕWQJKLӋS ii
1KұQ[pWFӫDJLiRYLrQKѭӟQJGүQ iii
1KұQ[pWFӫDJLiRYLrQSKҧQELӋQ iv
/ӡLFҧPѫQ v
7yPWҳWÿӗiQ vi
Abstract vii
0өFOөF viii
'DQKPөFKuQK x
'DQKPөFEҧQJ xiii
&iFTX\ѭӟFYjKҵQJVӕOLrQTXDQ xiv
&+ѬѪ1*7Ә1*48$1
1.1 6ӵNKiFQKDXJLӳD+HOLFRSWHUYjQuadrocopter 1
9ӅNӃWFҩXFѫNKtYjQJX\rQOêKRҥWÿӝQJ 1
9ӅWtQKQăQJÿLӅXNKLӇQ 3

1.2 7uQKKuQKQJKLrQFӭXWKXӝFOƭQKYӵFÿӅWjL 4
1.2.1 /ӏFKVӱSKiWWULӇQFӫDPi\ED\Quadrocopter 4
1.2.2 7uQKKuQKQJKLrQFӭXӣQѭӟFQJRjL 7
1.2.3 7uQKKuQKQJKLrQFӭXWURQJQѭӟF 10
1.3 1ӝLGXQJQJKLrQFӭXFӫDÿӅWjL 12
1.4 3KѭѫQJSKiSYjSKѭѫQJWLӋQQJKLrQFӭX 13
&+ѬѪ1*2: /é7+8<ӂ77,ӂ3&Ұ1
2.1 /êWKX\ӃWÿLӅXNKLӇQQuadrocopter 14
2.2 0{KuQKWRiQFӫDQuadrocopter 17
2.2.1 ĈӝQJKӑF 17
2.2.2 ĈӝQJOӵFKӑF 20
2.2.3 0{KuQK1HZWRQ-Euler 21
2.2.4 .KtÿӝQJKӑF 27
2.3 ĈLӅXNKLӇQÿӝQJFѫPӝWFKLӅXNK{QJFKәLWKDQ 32
2.4 %ӝOӑF.DOPDQ 36
2.4.1 .KiLQLӋPEӝOӑF 36
2.4.2 %ӝOӑF.DOPDQOjJu ? 36
2.4.3 %ҧQFKҩWFӫDEӝOӑF.DOPDQ 38
ix
2.4.4 4X\WUuQKѭӟFOѭӧQJ 38
2.4.5 6RViQKFiFEӝOӑFYӟLEӝOӑF.DOPDQ 40
2.5 *LiPViW- ÿLӅXNKLӇQJLDRWLӃSPi\WtQKGQJSKҫQPӅPLabVIEW 42
2.5.1 7әQJTXDQYӅLabVIEW 42
2.5.2 7uPKLӇXPӝWFKѭѫQJWUuQKLabVIEW 43
&+ѬѪ1* ;Æ<'Ӵ1*0Ð+Î1+QUADROCOPTER
3.1 6ѫÿӗNKӕLWәQJWKӇFӫDKӋWKӕQJ 46
3.2 7KLӃWNӃ FѫNKt 47
3.3 7KLӃWNӃKӋWKӕQJÿLӅXNKLӇQ 51
3.3.1 7D\ÿLӅXNKLӇQ 52
3.3.2 0ҥFKWUXQJWkP 53

3.3.3 Module RF 57
3.3&ҧPELӃQ,08 58
3.3.5 ĈӝQJFѫ%/'&Yj%ӝÿLӅXWӕF(6& 59
3.4 ;k\GӵQJWKXұWWRiQÿLӅXNKLӇQ 61
&+ѬѪ1*.ӂ748Ҧ7+Ӵ&1*+,ӊ0
4.1 ;k\GӵQJEӝOӑF.DOPDQFKRP{KuQKPi\ED\Quadrocopter 64
4.1.1 XӱOêWtQKLӋXFҧPELӃQ,08EұFWӵGR 64
4.1.2 TӕLѭXKyDWKXұWWRiQ.DOPDQ 65
4.1.3 XiFÿӏQKFiFWK{QJVӕYjKRjQFKӍQKEӝOӑF.DOPDQ 66
4.2 &KѭѫQJWUuQKJLiPViWGQJSKҫQPӅPLabVIEW 67
4.2.1 .LӇPWUDYj[ӱOêWtQKLӋXFҧPELӃQ 67
4.2.2 *LiPViWWUҥQJWKiLKRҥWÿӝQJFӫD4XDGURFRSWHU 69
4.3 .ӃWTXҧWKӵFQJKLӋP YjQKұQ[pW 73
4.3.1 ĈiSӭQJOӵFÿҭ\FӫD(6&± Motor 73
ĈiSӭQJFӫDP{KuQKYӟLFiFWK{QJVӕÿLӅXNKLӇQ3,' 77
&+ѬѪ1*.ӂ7/8Ұ1
5.1 1KӳQJNӃWTXҧÿҥWÿѭӧF 84
5.2 1KӳQJNӃWTXҧFKѭDÿҥWÿѭӧF YjELӋQSKiSNKҳFSKөF 85
5.3 +ѭӟQJSKiWWULӇQFӫDÿӅWjL 85
7jLOLӋXWKDPNKҧR 86
3KөOөF$
%ҧQYӁP{KuQK Pi\ED\ Quadrocopter 87
PKөOөF% VLÿLӅXNKLӇQATmega128 88
x
'$1+0Ө&+Î1+
+uQK5&+HOLFRSWHU7-rex 600 1
+uQK&өPVZDVKSODWHWUrQFѫFҩXFiQKFӫD+HOLFRSWHU 1
+uQK&өPFiQKTXҥWÿX{LFӫD+HOLFRSWHU 2
+uQKQuadrocopter 2
+uQK1JX\rQOêKRҥWÿӝQJFӫDQuadrocopter 3

+uQK3KkQORҥLYұWWKӇED\ 4
+uQK%UHJXHW- Richet Gyroplane No.1 5
+uQKQuadURFRSWHUFӫD(WLHQQH2HPLFKHQ 5
+uQK³%ҥFKWXӝFED\´ 6
+uQK&RQYHUWDZLQJV0RGHO$ 6
+uQK6ҧQSKҭP;-3URFӫDKmQJ'UDJDQIO\,QQRYDWLRQV 7
+uQK6ҧQSKҭP0'-FӫDKmQJ0LFURGURQH 8
+uQK0i\WtQKÿӇKLӇQWKӏFiFWK{QJVӕYӅWuQKWUҥQJFӫDPi\ED\ 8
+uQK6ҧQSKҭP$5'URQHFӫDKmQJ3DUURW 9
+uQK6ҧQSKҭP0.%DVLFVHW0(FӫDKmQJ0LNUR.RSWHU 9
+uQK0{KuQKPi\ED\QJKLӋPWKXWҥL6ӣ.KRDKӑF- &{QJQJKӋ 10
+uQK0ӝWFKLӃFPi\ED\ÿӝQJFѫFӫDFkXOҥFEӝP{KuQK 11
+uQKQuadURWRUYjQKyPVLQKYLrQ &ѫÿLӋQWӱĈ+&{QJQJKLӋS+j1ӝL 11
+uQK5RERWWӵKjQKNLӇXQuadURWRUFӫD+ӑFYLӋQ.ӻWKXұW4XkQVӵ 12
+uQKĈӏQKQJKƭDFiFKѭӟQJFKX\ӇQÿӝQJFӫDQuadrocopter 14
+uQK+RYHU 15
+uQK7KURWWOH 15
+uQK5ROO 16
+uQK3LWFK 16
+uQK2.6 Yaw 17
+uQK+ӋTX\FKLӃX(Yj% 17
+uQK&iFOӵFYjPRPHQWWiFGөQJOrQQuadrocopter 20
+uQK0RPHQWTXiQWtQKNKӕLKuQKKӝSFKӳQKұW 25
+uQK0{KuQKFiQKTXҥWWURQJWKX\ӃWÿӝQJOѭӧQJ 28
+uQK 7KX\ӃWFѫEҧQYӅFiQKTXҥW 29
+uQK 2.12 +uQKGiQJNKtÿӝQJKӑFFӫDFiQK 31
+uQKĈӝQJFѫ%/'&LQUXQQHU 32
+uQKĈӝQJFѫ%/'&RXWUXQQHU 32
+uQK6ѫÿӗÿҩXGk\ÿӝQJFѫ%/'&Yj(6& 33
xi

+uQK7tQKLӋX3:0ÿLӅXNKLӇQÿѭDYjR(6& 33
+uQK1JX\rQOêWҥRGzQJSKD 34
+uQK 6ѫÿӗFKXӛL[XQJ 35
+uQK6ѫÿӗPҥFKÿLӋQ(6&GQJSKѭѫQJSKiSFҧPӭQJ%(0) 35
+uQK&iFKWKӭF[ӱOtWtQKLӋXFӫDEӝOӑF 37
+uQK7tQKLӋXWKXÿѭӧFFKѭDÿѭӧFOӑFFӫDPi\ED\ 37
+uQK 0{KuQKKyDEӝOӑF.DOPDQ 38
+uQK&iFEѭӟF[k\GӵQJEӝOӑF.DOPDQ 40
+uQK*LҧQÿӗ%RGHYjSKDFӫDEӝOӑFEұFQKҩW 40
+uQK9tGөVRViQKFiFWtQKLӋXӣQJ}YjRPjX[DQKNӃWTXҧQJ}UDӣ
EӝOӑFEәSKөPjXÿHQYjӣEӝOӑF.DOPDQPjXÿӓ 41
+uQK.KҧQăQJNӃWKӧSYӟLFiFSKҫQFӭQJFӫDLabVIEW 42
+uQK)URQW3DQHOYj%ORFN'LDJUDPWURQJPӝWFKѭѫQJWUuQKLabVIEW 43
+uQK)URQWSDQHO 44
+uQK&iFFKӭFQăQJÿLӅXNKLӇQYjFKӍWKӏWURQJ)URQW3DQHO 44
+uQK%ORFN'LDJUDP 45
+uQK&iFKjPWURQJ%ORFN'LDJUDm 45
+uQK0jXVҳFFӫDGk\GӳOLӋXWURQJLabVIEW 45
+uQK6ѫÿӗNKӕLWәQJWKӇFӫDKӋWKӕQJ 46
+uQK2 7KLӃWNӃGQJFҩXKuQKFKRQJFKyQJÿҭ\SXVKHUSURSHOOHU 47
+uQK7KLӃWNӃGQJFҩXKuQKFKRQJFKyQJNpRWUDFWRUSURSHOOHU 48
+uQK0үXWKLӃWNӃWKӭED 49
+uQK0{SKӓQJӭQJVXҩWFKRFҩXKuQKFKRQJFKyQJÿҭ\ 49
+uQK0{SKӓQJӭQJVXҩWFKRFҩXKuQKFKRQJFKyQJNpR 50
+uQK0{SKӓQJFKX\ӇQYӏFKRFҩXKuQKFKRQJFKyQJÿҭ\ 50
+uQK0{SKӓQJFKX\ӇQYӏFKRFҩXKuQKFKRQJFKyQJNpR 50
+uQK0{KuQKPi\ED\4XDGURFRSWHUWKӵFWӃ 51
+uQK10 6ѫÿӗNKӕLWD\ÿLӅXNKLӇQ 52
+uQK1 6ѫÿӗQJX\rQOêWD\ÿLӅXNKLӇQ 52
+uQK2 %RDUGÿLӅXNKLӇQ 53

+uQK0ҥFKWUXQJWkPWUrQP{KuQK4XDGURFRSWHU 53
+uQK4 6ѫÿӗNKӕLPҥFKWUXQJWkP 54
+uQK5 6ѫÿӗQJX\rQOêPҥFKWUXQJWkP 55
+uQK6 %RDUGWUXQJWkP 56
+uQK7 %RDUGJLDRWLӃS56 57
+uQK8 0RGXOH5)VӱGөQJWUX\ӅQWK{QJ8$57 57
xii
+uQK9 ,08EұFWӵGRYjJ\URVFRSH/,6<$/ 58
+uQK20 Brushless motor FC2835-10T 59
+uQK21 &iQKTXҥW*:6(3-1060Rx3 59
+uQK2 &iQKTXҥW(33 60
+uQK23 ESC HiModel GX-40A 60
+uQK4 ESC Hobbywing Pentium 30A 61
+uQK5 &ҩXWU~FKӋ ÿLӅXNKLӇQ 61
+uQK6 6ѫÿӗNKӕLWtQKLӋXÿLӅXNKLӇQKRjQFKӍQK 62
+uQK7 6ѫÿӗNKӕLWtQKLӋXÿLӅXNKLӇQKLӋQWҥL 62
HuQK8 *LҧLWKXұWFKѭѫQJWUuQKÿLӅXNKLӇQFKtQK 63
+uQK9HFWRUWUӑQJOӵF[pWWURQJWUөFWӑDÿӝFӫDFҧPELӃQJLDWӕF 64
+uQK%ӝOӑF.DOPDQKRjQFKӍQK 66
+uQK*LDRGLӋQ[ӱOêWtQKLӋXGQJ.DOPDQWUrQ/DE9,(: 67
+uQK6ѫÿӗNKӕL[ӱOêWtQKLӋXGQJ.DOPDQWUrQ/DE9,(: 67
+uQK.KӕL9,9,6$&RQILJXUH3RUW 68
+uQK.KӕL9,9,6$5HDG 68
+uQK.KӕL9,9,6$:ULWH 68
+uQK.KӕL6SUHDGVKHHW6WULQJ7R$UUD\ 68
+uQK6ѫÿӗNKӕL0DWKVFULSW1RGH 68
+uQK*LDRGLӋQJLiPViWWUҥQJWKiL4XDGURFRSWHU 69
+uQK*LDRGLӋQJLiPViWWUҥQJWKiL4XDGURFRSWHUEҵQJKuQKҧQK' 70
+uQK%ORFN'LDJUDPFKѭѫQJWUuQKJLiPViWWUҥQJWKiL 71
+uQK&KѭѫQJWUuQKNKӕL$UWLILFLDO+RUL]RQ 71

+uQK&KѭѫQJWUuQKNKӕL'3LFWXUH 72
+uQK0ӝWFKѭѫQJWUuQK/DE9,(:KLӇQWKӏP{KuQKYұWWKӇ' 72
+uQK0{KuQKNLӇPWUDOӵFÿҭ\ÿӝQJFѫ 73
+uQKĈӗWKӏÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 76
+uQK8 ĈӗWKӏÿiSӭQJOӵFÿҭ\2FӫDÿӝQJFѫ 76
+uQK6ѫÿӗNKӕLEӝÿLӅXNKLӇQ3,'YӟLFiFNKkXWӍOӋWtFKSKkQÿҥRKjP 77
+uQKĈӗWKӏÿiSӭQJ3'FӫDJyFSLWFKYӟLWiFÿӝQJ 78
+uQK ĈӗWKӏÿiSӭQJ3'FӫDJyFUROOYӟLWiFÿӝQJ 79
+uQKĈӗWKӏÿiSӭQJ3,'FӫDJyFSLWFK 80
+uQKĈӗWKӏÿiSӭQJ3,'FӫDJyFUROO 81
+uQK7KӵFQJKLӋPÿiSӭQJÿLӅXNKLӇQJyFYӟLP{KuQKWUrQJLiÿӥ 82
+uQK5 1KӳQJKuQKҧQKED\WKӵFWӃFӫD P{KuQK4XDGURFRSWHU 83

xiii
'$1+0Ө&%Ҧ1*
%ҧQJ0{WҧFiFFKkQNӃWQӕLFӫDPRGXOH5) 57
%ҧQJ&iFWK{QJVӕNӻWKXұWFӫDFҧPELӃQ 58
%ҧQJ7K{QJVӕNӻWKXұWFӫDÿӝQJFѫ)&-10T 59
%ҧQJ7K{QJVӕNӻ WKXұWFӫD(6&HiModel GX-40A 60
%ҧQJ7K{QJVӕNӻ WKXұWFӫD(6&+REE\ZLQJ3HQWLXPA 61
%ҧQJ%ҧQJWKDPFKLӃXÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 74
%ҧQJ%ҧQJWKDPFKLӃXÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 75

xiv
&È&48<ѬӞ& 9¬+Ҵ1*6Ӕ/,Ç148$1
I. &iFTX\ѭӟF:
.êKLӋX ĈѫQYӏ 0{Wҧ
X m YӏWUtGjLWKHRWUөF
x
E


Y m YӏWUtGjLWKHRWUөF
y
E

Z m YӏWUtGjLWKHRWUөF
z
E

ij rad JyFUROO[RD\TXDQKWUөF;
ș rad JyFSLWFK[RD\TXDQKWUөF<
ȥ rad JyF\DZ[RD\TXDQKWUөF=
u m/s YұQWӕFGjLWKHRWUөF
x
B

v m/s YұQWӕFGjLWKHRWUөF
y
B

w m/s YұQWӕFGjLWKHRWUөF
z
B

p rad/s YұQWӕFJyF WKHRWUөF
x
B

q rad/s YұQWӕFJyF WKHRWUөF
y

B

r rad/s YұQWӕFJyF WKHRWUөF
z
B

ī
E

m

YHFWRUYӏWUtGjLWKHRKӋTX\FKLӃXE

ī
Ú

E

m

YHFWRUYұQWӕFGjLWKHRKӋTX\FKLӃXE

ī
ÚÚ
E

m/s
2
YHFWRUJLDWӕFGjLWKHRKӋTX\FKLӃX(
Ĭ

E

rad

YHFWRUYӏWUtJyFWKHRKӋTX\FKLӃXE

Ĭ
Ú

E

rad/s

YHFWRUYұQWӕFJyFWKHRKӋTX\FKLӃXE
rad/s
2
YHFWRUJLDWӕFJyFWKHRKӋTX\FKLӃX(
V

E
m/
s
vector vұQWӕFGjLWKHRKӋTX\FKLӃXE
V

B
m/
s
vector YұQWӕFGjLWKHRKӋTX\FKLӃXB





B
m/
s
2

vHFWRUJLDWӕF GjLWKHRKӋTX\FKLӃXB
Ȧ
B

rad/
s
vector
YұQWӕFJyFWKHRKӋTX\FKLӃXB

ɘሶ

rad/s
2
YHFWRUJLDWӕFJyFWKHRKӋTX\FKLӃX%

ȟ
-
YHFWRUYӏWUtWәQJTXiWWKHRKӋTX\FKLӃXE
ȟ
Ú
-


YHFWRUYұQWӕFWәQJTXiWWKHRKӋTX\FKLӃX(
Ȟ
-

vector vұQWӕFWәQJTXiW theo
KӋTX\FKLӃX%

Ȟ
Ú

-
YHFWRUJLDWӕFWәQJTXiWWKHRKӋTX\FKLӃX%

ȗ
-
vector vұn tӕc tәQJTXiWWKHRKӋTX\FKLӃX+

ȗ
Ú
-

YHFWRUJLDWӕFWәQJTXiWWKHRKӋTX\FKLӃX+

xv

ȁ

-
YHFWRUOӵFWәQJTXiW
F

E
N YHFWRUOӵF
theo
KӋTX\FKLӃX(

F
B
N YHFWRUOӵF
theo
KӋTX\FKLӃX%

E
G
F
N
YHFWRUOӵFKҩSGүQWKHRKӋTX\FKLӃX(


B
G
F
N YHFWRUOӵFKҩSGүQWKHRKӋTX\FKLӃX%

G
B

(ȟ)
-
YHFWRUKҩS GүQWKHRKӋTX\FKLӃX%


G
H

-
YHFWRUKҩSGүQWKHRKӋTX\FKLӃX+

U
B

-
YHFWRUFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃX%
U
1
N OӵFQkQJWKHRKӋTX\FKLӃX%
U
2
Nm PRPHQW[RҳQUROOWKHRKӋTX\FKLӃX%
U
3
Nm PRPHQW[RҳQSLWFKWKHRKӋTX\FKLӃX%
U
4
Nm PRPHQW[RҳQ\DZWKHRKӋTX\FKLӃX B

ɒ
B
Nm moment [RҳQtheo KӋTX\FKLӃX%
R
Ĭ


-

PDWUұQ[RD\
T
Ĭ

-

PDWUұQFKX\ӇQYӏ
J
Ĭ
-
PDWUұQWәQJTXiW
E
B

-
PDWUұQFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃXB
E
H

(ȟ)
-
PDWUұQFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃX H
M
B
-
PDWUұQTXiQWtQKKӋWKӕQJWKHRKӋTX\FKLӃX%

M

H

-
ma trұQTXiQWtQKKӋ thӕng WKHRKӋTX\FKLӃu H
O
B
(
Ȟ
)
-
PDWUұQFiQKTXҥWKӗLFKX\ӇQ WKHRKӋTX\FKLӃXB
O
H

(ȗ)
-
PDWUұQFiQKTXҥWKӗLFKX\ӇQ WKHRKӋTX\FKLӃX H

C
B

(
Ȟ
)

-
PDWUұQ&RULROLVKѭӟQJWkPWKHRKӋTX\FKLӃX%

C
H


(ȗ)
-
PDWUұQ&RULROLVKѭӟQJWkPWKHRKӋTX\FKLӃX H
S
( )

-

PDWUұQÿӕL[ӭQJOӋFK


rad/
s

YHFWRUWӕFÿӝFiQKTXҥW
π
1
rad/
s

WӕFÿӝFiQKTXҥWWUѭӟF
π
2
rad/
s

WӕFÿӝFiQKTXҥWSKҧL
π
3

rad/
s

WӕFÿӝFiQKTXҥWVDX
π
4
rad/
s

WӕFÿӝFiQKTXҥWWUiL
T
MT
N

OӵFQkQJWKHRWKX\ӃWÿӝQJOѭӧQJ
T
BET
N

OӵFQkQJWKHRWKX\ӃWFiQKTXҥW
xvi
Q
BET
Nm PRPHQW[RҳQFӫDFiQKTXҥW
ሶ
A
kg/s ÿӝWKD\ÿәL FӫD NKӕLOѭӧQJNK{QJNKtTXDÿƭDTXҥW
p
1
Pa iSVXҩWNK{QJNKtWiFGөQJWUӵFWLӃSSKtDWUrQÿƭD

p
2
Pa iSVXҩWNK{QJNKtWiFGөQJWUӵFWLӃSGѭӟLWUrQÿƭD
p

Pa iSVXҩWFұQGѭӟL
p
-
Pa iSVXҩWFұQWUrQ
v
1
m/s

YұQWӕFNK{QJNKtWiFGөQJWUӵFWLӃSSKtDWUrQÿƭD
v
2
m/s

YұQWӕFNK{QJNKtWiFGөQJWUӵFWLӃSGѭӟLWUrQÿƭD
v
I
m/s

YұQWӕFNK{QJNKtQJD\WҥLÿƭDTXҥW
v

m/s

YұQWӕFFұQGѭӟL
v

-
m/s

YұQWӕFFұQWUrQ
v
V
m/s YHFWRUYұQWӕFGRFKX\ӇQÿӝQJFӫDGzQJNKtFӫDFiQKTXҥW
v
H
m/s YHFWRUYұQWӕFGRYұQWӕFJyFFӫDOѭӥi FiQKTXҥt
Z
P
rad/s YұQWӕFJyFFӫDFiQKTXҥW
dD
BET
N/m YLSKkQOӵFNpR
dL
BET
N/m YLSKkQ OӵFQkQJ
dF
BET
N/m YLSKkQOӵFNKtÿӝQJKӑc
dT
BET
N/m YLSKkQ OӵFNKtÿӝQJKӑFWKHRSKѭѫQJÿӭQJ
dH
BET
N/m YLSKkQOӵFNKtÿӝQJKӑFWKHRSKѭѫQJQJDQJ
T
I

rad JyFKӧSJLӳDÿѭӡQJQJDQJYӟLÿѭӡQJFKLDFiQKTXҥW
T
Io
rad KҵQJVӕ]HURJyFWҩQ
T
Itw
rad JyF[RҳQFӫDJyFWҩQ
ĭ
I
rad JyFWҩQOѭXOѭӧQJGzQJNKtYjR
II.
&iFKҵQJVӕ
.êKLӋX ĈѫQYӏ *LiWUӏ 0{Wҧ
a rad
-1
2 ʌ JyFQkQJ
A m
2
75.5 x 10
-3
GLӋQWtFKÿƭDFiQKTXҥW
b N s
2
54,2 x 10
-6
KӋVӕÿҭ\
b
BET
N s
2

54,2 x 10
-6
KӋVӕÿҭ\WKHRWKX\ӃWFiQKTXҥW
b
MT
N s
2
54,2 x 10
-6
KӋVӕÿҭ\WKHRWKX\ӃWÿӝQJOѭӧQJ
c m 0.02 FKLӅXGjLWUXQJEuQKÿѭӡQJFKLDFiQKTXҥW

C
D

-
0.05 KӋVӕNpRGUDJ
C
L

-
0.05 KӋVӕQkQJ(lift)

xvii
d N m s
2
1.1 x 10
-6
KӋVӕNpR
g m/s

2
9.81 gia tӕFWUӑQJWUѭӡQJ

TP
J
Nms
2

104x10
-6
PRPHQWTXiQWtQKTXD\WәQJFӝQJÿӕLYӟLWUөF
FiQKTXҥW

l m 0.22 NKRҧQJ FiFK Wӯ WkP QuadURFRSWHU ÿӃQ WkP
FiQKTXҥW
m kg 1.365 NKӕLOѭӧQJQuadrocopter
N
B

-
2 VӕFiQKEODGHFӫDFiQKTXҥW
U
A
kg/m
3
29 PұWÿӝNK{QJNKt





1
&+ѬѪ1*,7Ә1*48$1
1.1 6ӵNKiFnhau giӳD+HOLFRSWHUYjQuadrocopter
[1]

7UӵF WKăQJ WK{QJ WKѭӡQJ +HOLFRSWHU Yj WUӵF WKăQJ EӕQ FKRQJ FKyQJ
(Quadrocopter, Quadrotor hay QuadFRSWHUÿѭӧF[ӃSYjRORҥLPi\ED\FyNKҧQăQJ
FҩWFiQKYjKҥ FiQKWKҷQJÿӭQJKD\FzQJӑL972/9HUWLFDO7DNH2IIDQG/DGLQJFҧ
KDLORҥLQj\ÿӅXFyNKҧQăQJGLFKX\ӇQWKHRKѭӟQJOrQ-[XӕQJWUѭӟF-VDXWUiL-SKҧL
NKҧQăQJÿӭQJ\rQWҥLFKӛ KRYHUPjPi\ED\FiQKEҵQJNK{QJFy7X\QKLrQ, giӳD
KDLORҥLQj\FyQKӳQJÿLӇPNKiFQKDXFѫEҧQ QKѭ sau:
1.1.1 9͉N͇WF̭XF˯NKtYjQJX\rQOêKR̩Wÿ͡QJ
6RYӟLORҥLP{KuQKWUӵFWKăQJWK{QJWKѭӡQJFyNӃWFҩXFѫNKtUҩWSKӭFWҥSYj
QKLӅXFKLWLӃWQKӓJLDF{QJWLQK[ҧRWKuQuadURFRSWHUÿѫQJLҧQKѫQUҩWQKLӅXORҥLQj\
FKӍJӗPPRWRUÿLӋQJҳQFiQKTXҥWÿѭӧFÿһWӣEӕQJyFFӫDPӝWKuQKYX{QJWURQJ
NKLWUӵFWKăQJP{KuQKWK{QJWKѭӡQJEDRJӗPKӋWKӕQJÿƭD[RD\VZDVKSODWHURWRU
KHDGYjFiFFҫQDUPURGÿӇWKD\ÿәLJyFWҩQ SLWFKFӫDFiQKTXҥWFKtQKWK{QJTXD
FiFVHUYRQKӓ

+uQK5&+HOLFRSWHU7-rex 600

+uQK&өPVZDVKSODWHWUrQFѫFҩXFiQKFӫD+HOLFRSWHU
1JRjLUDWUӵFWKăQJWK{QJWKѭӡQJFzQFyKӋWKӕQJFiQKTXҥWÿX{LÿӇOjPWULӋW
WLrXPRPHQWGRFiQKTXҥWFKtQKJk\UDĈLӅXQj\WLrXWӕQÿӃQQăQJOѭӧQJWәQJ
FӝQJFӫDPi\ED\1ăQJOѭӧQJQj\NK{QJVLQKF{QJÿӇQkQJPi\ED\PjFKӍWULӋWWLrX
PRPHQW[RҳQFKRQrQÿk\OjQăQJOѭӧQJY{tFKOjPJLҧPKLӋXVXҩWFӫDPi\ED\
2
+ѫQQӳDFiFKӋWKӕQJEiQKUăQJÿӇWUX\ӅQÿӝQJWӯPRWRUFKtQKVDQJFiQKTXҥW
FKtQKYjFiQKTXҥWÿX{LFNJQJUҩWSKӭFWҥS


+uQK3 &өPFiQKTXҥWÿX{LFӫDHelicopter
ĈӕLYӟLQuadURFRSWHUNӃWFҩXFKӍJӗPPRWRUÿLӋQJLӕQJQKDXFyOҳSFiQKTXҥW
ÿѭӧFÿһWӣJyFKuQKYX{QJYjFiQKTXҥWFyWKӇJҳQWUӵFWLӃSKD\WK{QJTXDWUX\ӅQ
ÿӝQJEiQK UăQJPRWRUQj\ÿѭӧFFKLDUDOjPFһSWUѭӟF-VDXWUiL-SKҧL


+uQKQuadrocopter
&KLӅXTXD\FӫDPRWRUWURQJPӛLFһSOjJLӕQJQKDXQKѭQJFKLӅXTXD\FӫDFһS
WUѭӟF-VDXYjWUiL-SKҧLOjQJѭӧFQKDX9tGөFһSWUѭӟF-VDXTXD\FQJFKLӅXNLPÿӗQJ
Kӗ WKu FһS WUiL-SKҧL TXD\ QJѭӧF FKLӅX NLP ÿӗQJ Kӗ 9j FiQK TXҥW GQJ WURQJ
QuadURFRSWHUSKҧLOjORҥLQJѭӧFQKDXPӝWORҥLTXD\FQJFKLӅXYjPӝWORҥLQJѭӧF
FKLӅXNLPÿӗQJKӗ7K{QJWKѭӡQJGQJORҥLFyJyFWҩQ FӕÿӏQKIL[HGSLWFK
0өF ÿtFK FӫDYLӋF Qj\ Oj ÿӇ WULӋWWLrX PRPHQW [RҳQ GR WӯQJFһS Jk\ UD 7X\
QKLrQQJRjLNKҧQăQJWҥRPRPHQWWULӋWWLrXQKDXPRWRUQj\NKLTXD\ÿӅXWҥROӵF
QkQJFKRPi\ED\NK{QJQKѭKӋWKӕQJKӋWKӕQJÿX{LFӫDWUӵFWKăQJWK{QJWKѭӡQJ
NK{QJWҥRÿѭӧFOӵFQkQJPjFKӍQKҵPOjPWULӋWWLrXPRPHQWFӫDFiQKTXҥWFKtQKĈk\
OjPӝWѭXÿLӇPOӟQFӫDQuadrocopter.
3
1JRjLPRWRUYjFiQKTXҥWUDWKuQuadURFRSWHUNK{QJFzQPӝWFKLWLӃWFKX\ӇQ
ÿӝQJQjRNKiFFKRQrQÿk\OjPӝWOӧLÿLӇPNKLVӱGөQJYjNK{QJFҫQSKҧLWKD\WKӃ
FiFFKLWLӃWQj\NKLEӏUӟWKD\YDFKҥPQKѭ+HOLFRSWHU
0ӝW\ӃXWӕUҩWTXDQWUӑQJQӳDOjGRÿѭӡQJNtQKFiQKTXҥWFӫDQuadURFRSWHUQKӓ
KѫQQKLӅXVRYӟL+HOLFRSWHUFKRQrQYLӋFED\WKӱQJKLӋPKD\ED\WURQJQKjFNJQJGӉ
GjQJYjWKXұQOӧLNK{QJJk\QJX\KLӇPWӟLQJѭӡL[XQJTXDnh.
1JX\rQOêKRҥWÿӝQJFӫDORҥLQuadURFRSWHUQj\FNJQJUҩWÿѫQJLҧQ

+uQK5 1JX\rQOêKRҥWÿӝQJFӫDQuadrocopter
x WUѭӟF-sau: ÿӇÿLYӅErQWUѭӟFPRWRUSKtDWUѭӟFJLҧPWӕFVRYӟLPRWRUVDXYj
QJѭӧFOҥLÿӇÿLYӅSKiLVDXPRWRUVDXJLҧPWӕFVRYӟLPRWRUWUѭӟF
x WUiL-SKҧL: ÿӇÿLYӅErQWUiLPRWRUWUiLJLҧPWӕFVRYӟLPRWRUSKҧLYjQJѭӧFOҥL

ÿӇÿLYӅErQSKҧLPRWRUSKҧLJLҧPWӕFVRYӟLPRWRUWUiL
x OrQ-[XӕQJ: tăQJWӕFKD\JLҧPWӕFÿӗQJWKӡL4 PRWRUVӁOjPWăQJOӵFQkQJKD\
JLҧPOӵFQkQJ ÿӇ ED\OrQKD\ [XӕQJ
x [RD\PXӕQ[RD\FQJFKLӅXNLPÿӗQJKӗWKuFһSPRWRUTXD\FQJFKLӅXNLP
ÿӗQJKӗYtGөWUѭӟF-VDXVӁTXD\FKұPKѫQFһSPRWRUTXD\QJѭӧFFKLӅXNLPÿӗQJKӗ
YtGөWUiL-SKҧL1JѭӧFOҥLPXӕQ[RD\QJѭӧFFKLӅXNLPÿӗQJKӗWKuFһSPRWRUTXD\
QJѭӧFFKLӅX NLPÿӗQJKӗWUiL-SKҧLVӁTXD\FKұPKѫQFһSPRWRUTXD\FQJFKLӅX
NLPÿӗQJKӗWUѭӟF-sau).
1.1.2 9͉WtQKQăQJÿL͉XNKL͋Q
;pWYӅPһWQj\WKuQuadURFRSWHUÿzLKӓLKӋWKӕQJPҥFKÿLӅXNKLӇQSKӭFWҥSKѫQ
YuSKҧLVӱGөQJFiF FҧPELӃQTXiQWtQKQKѭJ\UR (gyroscope) YjJLDWӕF (accelero-
meter) ÿӇWtQKWRiQÿѭӧFJyFQJKLrQJYjYұQWӕFTXD\WKHREDWUөFÿӇJLӳWKăQJEҵQJ
QӃXNK{QJVӁNK{QJWKӇQjRÿLӅXNKLӇQÿѭӧF7\WKHRKӋWKӕQJPҥFKÿLӅXNKLӇQWӕW
WӟLPӭFQjRVӁTX\ӃWÿӏQKWӟLNKҧQăQJÿLӅXNKLӇQQuadURFRSWHUGӉKD\NKy

1KѭQJ NKL ÿmÿѭӧF WKLӃW NӃ WӕWPӝW QJѭӡLFKѭD WӯQJÿLӅX NKLӇQ TXD OҫQQjR
FNJQJFy WKӇ ÿLӅX NKLӇQ ÿѭӧF QuadURFRSWHU PӝWFiFK GӉ GjQJ 7KHR QKѭQJX\rQOê
4
KRҥWÿӝQJÿmÿӅFұSWӟLӣWUrQWKuÿLӅXNKLӇQQuadURFRSWHUWKӵFFKҩWFKӍOjÿLӅXNKLӇQ
WӕFÿӝ FӫDPRWRUÿӇFyÿѭӧFFKX\ӇQÿӝQJPRQJPXӕQ
ĈӕL YӟL +HOLFRSWHUYLӋF ÿLӅX NKLӇQEDR JӗP UҩW QKLӅX \ӃX WӕÿLӅX NKLӇQ FiF
VHUYRÿӇWKD\ÿәLJyFWҩQ FӫDFiQKTXҥWFKtQKWKD\ÿәLWӕFÿӝFiQKTXҥWFKtQKWKD\
ÿәLWӕFÿӝKRһFJyFWҩQ FӫDFiQKTXҥWÿX{LÿӇEҿOiLWKD\ÿәLPһWSKҷQJTXD\FӫD
FiQKTXҥWFKtQKYY/RҥLQj\UҩWNKyÿLӅXNKLӇQFҫQSKҧLFyQKLӅXNӻQăQJYjNLQK
QJKLӋPĈӇFyWKӇÿLӅXNKLӇQÿѭӧFP{KuQKORҥLQj\QJѭӡLÿLӅXNKLӇQSKҧLPҩWPӝW
WKӡLJLDQNKiOkXÿӇOjPTXHQYjWKѭӡQJWKuSKҧLWұSOiLWUrQFiFSKҫQPӅPP{SKӓQJ
WUѭӟFPӟLÿӫWӵWLQFҫPOiL1ӃXNK{QJUӟWPi\ED\OjPӝWÿLӅXUҩWGӉ[ҧ\UD
1.2 7uQKKuQKQJKLrQFӭXWKXӝFOƭQKYӵFÿӅWjL
1.2.1 /͓FKV͵SKiWWUL͋QFͯDPi\ED\Quadrocopter
CyWKӇSKkQORҥLYұWWKӇED\UDWKjQKFiFORҥLQKѭVDX


+uQK1.6 3KkQORҥLYұWWKӇED\
&KLӃFQuadrocopter ÿҫXWLrQWUrQWKӃJLӟLUDÿӡLQăPGRDQKHPQKjNKRD
KӑFQJѭӡL3KiS/RXLVYj-DFTXHV%UHJXHW FQJJLiRVѭ Charles Richet KӧSWiF FKӃ
WҥR1yÿѭӧFPDQJWrQOj³%UHJXHW± Richet Gyroplane No.1´<rXFҫX ÿѭӧFÿѭDUDOj
QyFyWKӇ FҩWFiQKNKӓLPһWÿҩWYӟLSKLF{QJ0ӝWÿӝQJFѫ[y-ODQKÿѭӧFVӱGөQJ
ÿӇTXD\FiQK TXҥW0ӛLFiQKTXҥWFyEҧQFiQK+ӋWKӕQJGk\ÿDLYjSX-OLÿѭӧFJҳQ
OrQQKҵPWUX\ӅQÿӝQJWӯÿӝQJFѫFKRFiFFiQK%ӝNKXQJFӫD FKLӃFQuadrocopter Qj\
OjP Wӯ FiF ӕQJ WKpS 7әQJ WUӑQJ OѭӧQJ FӫD Qy YjR NKRҧQJ 75Kg /ҫQ ED\ WKӱ
QJKLӋPÿҫXWLrQGLӉQUDWҥL'RXDL- 3KiSYjRQăPQyÿmFyWKӇQkQJFDRNKӓL
PһWÿҩW.5m.

Quadro-
copter
5

+unh 1.7 Breguet- Richet Gyroplane No.1
ĈӃQ QăP  (WLHQQH 2HPLFKHQ ÿmFKӃ WҥR PӝW FKLӃF Quadrocopter YӟL 8
FiQKTXҥWOLQKKRҥWQKҵPÿLӅXNKLӇQYjWҥROӵFÿҭ\%DQÿҫXQyÿѭӧFJҳQWKrPPӝW
NKtFҫXÿӇQkQJYjJLӳәQÿӏQKFKRFӛPi\Qj\1ăP22HPLFKHQÿmWKjQKF{QJ
NKLFKRFKLӃFQuadrocopter ED\PjNK{QJFҫQVӵWUӧJL~SFӫDNKtFҫX 6DXÿy Qy
NK{QJEDRJLӡÿѭӧFVӱGөQJQӳD.


+uQK1.8 QuadURFRSWHUFӫD(WLHQQH2HPLFKHQ
6
&NJQJWURQJQăPWLӃQVƭ*HRUJHGH%RWKH]DWYj,YDQ-HURPHÿmWKjQKF{QJ
NKLWKLӃWNӃ FKLӃFQuadrocopter NKәQJOӗSKөFYөFKRTXkQÿӝL0ӻ&ӛPi\Qj\ÿm
ÿѭӧFÿLӅXNKLӇQEҵQJFiFKWKD\ÿәLÿѫQOҿKRһFFQJO~FFiFJyF[RҳQFӫDFiQKTXҥW
1JRjLUDQyFzQÿѭӧFJҳQWKrPFiQKTXҥWORҥLQKӓÿӇWUӧJL~SÿLӅXNKLӇQ&KLӃF

Quadrocopter Qj\ÿѭӧFÿһWWrQOj´%ҥFKWXӝFED\´1KѭQJGӵiQQj\EӏKӫ\EӓQJD\
OұSWӭFYuNKҧQăQJED\WKҩSJLiWKjQKFDR


+uQK³%ҥFKWXӝFED\´
ĈӃQQăP1956, Convertawings lҫQQӳD OjPVӕQJOҥL tKLӃWNӃWUӵFWKăQJ FiQK
TXҥWÿmÿѭӧFWKӱQJKLӋPQăP EӣL Oemichen WҥL 3KiS Yj G. de Bothezat WҥL 0ӻ.
BӕQ FiQKTXҥW FӫD FKLӃFWUӵFWKăQJ Qj\ ÿѭӧF JҳQNӃW theo WӯQJFһSWUrQWKDQKQӕL
song song. &ѫFKӃ NLӇPVRiW Y{FQJ ÿѫQJLҧQ EҵQJFiFK WKD\ÿәL OӵFÿҭ\ JLӳD FiF
FiQKTXҥW. 1ăQJOѭӧQJ ÿѭӧFFXQJFҩS EӣL hai ÿӝQJFѫWUX\ӅQÿӝQJWӟL KӋWKӕQJ FiQK
TXҥW EҵQJ Gk\ÿDL FKӳ9. 0i\ED\Fy EDEiQK ÿiS YӟL hai EiQKVDX Yj PӝW EiQKWUѭӟF
Fy
WKӇ xoay ÿѭӧF. &KX\ӃQED\ÿѭӧFWKӵFKLӋQWKjQKF{QJYjRWKiQJQăPWҥL
0ӻ7X\QKLrQGӵiQQj\ÿmVӟPEӏFKҩPGӭWGRNK{QJQKұQÿѭӧFÿѫQÿһWKjQJ

+uQKConvertawings Model A
7ӯÿyFiFFҩXKuQKFӫD Pi\ED\ QuadURFRSWHUNK{QJFzQÿѭӧFFK~êQKѭWUѭӟF
0mL FKR ÿӃQQKӳQJ QăP JҫQ ÿk\, Quadrocopter PӟL ÿѭӧF TXDQ WkP WUӣ OҥL vu NKҧ
QăQJӭQJGөQJUҩWOӟQWURQJOƭQKYӵFWKLӃWEӏ bay P{KuQK.
[14]

7
1.2.2 7uQKKuQKQJKLrQFͱXͧQ˱ͣFQJRjL
9uWtQKFKҩWÿѫQJLҧQWURQJNӃWFҩXFѫNKtYjWtQKOLQKÿӝQJWURQJYLӋFÿLӅXNKLӇQ
FNJQJ QKѭ WLӅP QăQJ ӭQJ GөQJ UҩW OӟQ YjR WKӵF WӃ FӫD P{ KuQK ORҥL Qj\ Pj
Quadrocopter ÿm Yj ÿDQJ ÿѭӧF QKLӅX KmQJ WUrQ WKӃ JLӟL QJKLrQ FӭX SKiW WULӇQ WUӣ
WKjQKVҧQSKҭPWKѭѫQJPҥL

6DXÿk\[LQÿѭӧFJLӟLWKLӋXPӝWYjLVҧQSKҭPÿLӇQKuQK
a6̫QSḴP;-3URFͯD'UDJanfly Innovations

[1]


+uQK11 6ҧQSKҭP;-3URFӫDKmQJ'UDJDQIO\Innovations
&iFWK{QJVӕNӻWKXұW
- &yWKӇQkQJÿѭӧFWӕLÿDJ
- ĈѭӧFÿLӅXNKLӇQEҵQJEӝY{WX\ӃQNrQK)03&0
- .KXQJEҵQJFDUERQ
- 9ұQKjQKEҵQJSLQP$K9
- 0DQJFDPHUDÿӇTXDQViWFKөSNK{QJҧQK
- 7KӡLJLDQED\SK~W
- *Li·
7X\QKLrQYLӋFÿLӅXNKLӇQORҥLPi\ED\Qj\SKөWKXӝFQKLӅXYjRNӻQăQJFӫD
QJѭӡLÿLӅXNKLӇQYjFҫQWKӡLJLDQÿӇOjPTXHQYuNK{QJFyKӋWKӕQJWӵFkQEҵQJYj
FiFFҧPELӃQFҫQWKLӃWNKiF
E6̫QSḴP0'-FͯDKmQJ0LFURGURQH
[1]
Ĉk\Oj PӝWVҧQSKҭPFӵFNǤFKX\rQQJKLӋSYjQyFyWrQJӑLOj972/$80$9
(Vertical Take Off and Landing Autonomous Unmanned Micro Aerial Vehicle) hay
Pi\ ED\ VLrX QKӓWӵ ÿӝQJFҩW FiQKYj KҥFiQK WKҷQJÿӭQJ /RҥL Qj\ Fy KӋ WKӕQJ
AAHRS ( Altitude and Attitude and HHDGLQJ5HIHUHQFH6\VWHPKD\FzQJӑLKӋWKӕQJ
WKDPFKLӃXÿӝFDRJyFQJKLrQJYjKѭӟQJÿѭӧFWUDQJEӏFiFORҥLFҧPELӃQJLDWӕF
J\URFҧPELӃQWӯWUѭӡQJYjQKLӋWÿӝFҧPELӃQiSVXҩWFҧPELӃQÿӝҭP1JRjLUDFzQ
FyNKҧQăQJED\WKHROӝWUuQKFjLÿһWVҹQQKӡWUDQJEӏWKLӃWEӏÿӏQKYӏWRjQFҫX*36
MD4-ÿѭӧFWUDQJEӏFDPHUDÿӇWKӵFKLӋQFKөSNK{QJҧQKTXDQViWWKHRG}L
KD\WULQKWKiPWUrQNK{QJ&iFSKөWQJNKiFNqPWKHREDRJӗP KӝSÿӵQJEӝWKX
8
SKiWWtQKLӋXYLGHRYjGӳOLӋXPi\WtQKÿӇKLӇQWKӏFiF WK{QJVӕYӅWuQKWUҥQJFӫDPi\
ED\FNJQJQKѭFiFWtQKLӋXFҧPELӃQFiFJyFQJKLrQJGӳOLӋX*36«
Khung MD4-WҩWFҧÿӅXOjPEҵQJFDUERQYuWKӃUҩWQKҽYjFKӏXYDÿұSUҩWWӕW

QJRjLUDGROjPEҵQJFDUERQQrQNKXQJFӫD0'-KRҥWÿӝQJQKѭPӝWYӓEӑFFy
NKҧQăQJFKӕQJFiFORҥLQKLӉXÿLӋQWӯ
%ҵQJFiFKVӱGөQJPRWRUFyVӕYzQJTXD\WӕLÿDYzQJSK~WQrQÿӝӗQUҩW
WKҩSG%$#PUҩWWKtFKKӧSFKRPөFÿtFKWULQKWKiPKD\TXDQViWWUrQNK{QJ
PjNK{QJEӏSKiWKLӋQĈһFWtQKDQWRjQFӫD0'-QKӡNKҧQăQJWUiQKEӏUӟWYjWӵ
ÿӝQJKҥFiQKDQWRjQNKLSLQJҫQKӃWKD\OjPҩWWtQKLӋXY{WX\ӃQÿLӅXNKLӇQ
1JXӗQÿLӋQOjSLQ/LSR9P$K7\WKXӝFYjRWҧLPDQJWKHRWӕLÿD
JJLyQKLӋWÿӝPjWKӡLJLDQED\FӫD0'-FyWKӇOrQWӟLSK~W *Li

+uQK12 6ҧQSKҭP0'-FӫDKmQJ0LFURGURQH

+uQK13 0i\WtQKÿӇKLӇQWKӏFiFWK{QJVӕYӅWuQKWUҥQJFӫDPi\ED\
c6̫QSḴP FͯD$5'URQHFͯDKmQJ Parrot

Ĉk\OjVҧQSKҭPSKөFYө PөFÿtFKJLҧLWUtFKҥ\WUrQӭQJGөQJFӫDL3KRQH
AR.'URQHVӱGөQJSLQ/L-LRQQӃXÿѭӧFVҥFÿҫ\WKuQyFyWKӇED\WURQJYzQJ
SK~W3KҫQWKkQFӫDQyUҩWQKӓ, ÿѭӧFOjPWӯVӧLFDUERQYj[ӕSÿӇJLҧPWUӑQJOѭӧQJ
$5'URQHFKӍQһQJJUDP
&KLӃFPi\ED\P{KuQKQj\FyFDPHUDPӝWÿһWSKtDWUѭӟFYjPӝWӣ brQGѭӟL
NӃWQӕLWUӵFWLӃSYӟLÿLӋQWKRҥLL3KRQHTXDVyQJZLIL1KӳQJKuQKҧQKWӯFDPHUDWUrQ
Pi\ED\VDXÿyVӁKLӇQWKӏWUrQPjQKuQKL3KRQHJL~SQJѭӡLGQJÿLӅXNKLӇQGӉGjQJ
YjDQWRjQKѫQ

×