i
75ѬӠ1*ĈҤ,+Ӑ&6Ѭ3+Ҥ0.Ӻ7+8Ұ773+&0
.+2$&Ѫ.+Ë&+ӂ7Ҥ20È<
%Ӝ0Ð1&ѪĈ,ӊ17Ӱ
WX
ĈӖÈ17Ӕ71*+,ӊ3
1*+,Ç1&ͨ8 9¬ &+ɻ 7ɝ2
0Ð+Î1+0È<%$<QUADROCOPTER
GVHD: Th.S 3KҥP%ҥFK'ѭѫQJ
SVTH : 1JX\ӉQ+ҧLĈăQJ7kP
MSSV: 06111089
SVTH : 1JX\ӉQ/r1KұW7KҳQJ
MSSV: 06111096
73+Ӗ&+Ë0,1+WKiQJ1 QăP11
ii
%ӝ*LiRGөFYjĈjRWҥR
7UѭӡQJĈҥLKӑF6ѭ3KҥP.ӻ7KXұW7S+&0
.KRD&ѫNKt&KӃWҥRPi\
%ӝP{Q&ѫĈLӋQ7ӱ
o0o
&ӝQJ+Rj;m+ӝL&Kӫ1JKƭD9LӋW1DP
ĈӝFOұS± 7ӵGR± +ҥQKSK~F
o0o
1+,ӊ09ӨĈӖÈ17Ӕ71*+,ӊ3
+ӑYjWrQ 1JX\ӉQ+ҧLĈăQJ7kP MSSV: 06111089
1JX\ӉQ/r1KұW7KҳQJ MSSV: 06111096
/ӟS61111 1JjQK&ѫÿLӋQWӱ
1.1. 7Ç1ĈӖÈ1
1*+,Ç1&Ӭ89¬ &+ӂ7Ҥ2
0Ð+Î1+0È<BAY QUADROCOPTER
1.2. 1+,ӊ09Ө
- 7KLӃWNӃYjWKLF{QJP{KuQKQuadURFRSWHUYӟLFiFWKLӃWEӏWѭѫQJWKtFK
- ;k\GӵQJWKXұWWRiQÿLӅXNKLӇQQuadrocopter Fy NKҧQăQJWӵWKăQJEҵQJ
WUrQWUөFED\FkQEҵQJWURQJNK{QJWUXQJ
- ;k\GӵQJFKѭѫQJWUuQKJLiPViWWӯPi\WtQKGQJLabVIEW
1. 1Jj\JLDRQKLӋPYөÿӅWjL: 30/08/2010
2. 1Jj\KRjQWKjQKQKLӋPYө 21/01/2011
3. +ӑYjWrQJLiRYLrQ KѭӟQJGүQ7K6. 3KҥP%ҥFK'ѭѫQJ
4. +ӑYjWrQJLiRYLrQ SKҧQELӋQ ThS. /r7KDQK7QJ
1ӝLGXQJYj\rXFҫXĈ$71ÿmWK{QJTXD%ӝP{Q
1Jj\«WKiQJ «QăP
&+Ӫ1+,ӊ0%Ӝ0Ð1 *,È29,Ç1+ѬӞ1*'Ү1
3+Ҫ1'¬1+&+2.+2$%Ӝ0Ð1
1JѭӡLGX\ӋWFKҩPVѫEӝ
ĈѫQYӏ
1Jj\EҧRYӋ
ĈLӇPWәQJNӃW
1ѫLOѭXWUӳGӵiQ
iii
1KұQ[pWFӫDgLiRYLrQKѭӟQJGүQ
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
TP.+&0QJj\ WKiQJ QăP11
Th.S 3KҥP%ҥFK'ѭѫQJ
iv
NKұQ[pWFӫDJLiRYLrQSKҧQELӋQ
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
««««««««««««««««««««««««««««««««
TP.+&0QJj\ WKing QăP11
Th.S /r7KDQK7QJ
v
/Ӡ,&Ҧ0Ѫ1
7UѭӟFWLrQ, FK~QJHP [LQÿѭӧFJӱLOӡLFҧPѫQWUkQWUӑQJYjVkXVҳF QKҩW ÿӃQWKҫ\
3KҥP%ҥFK'ѭѫQJ - QJѭӡL ÿmKӃWVӭFWҥRÿLӅXNLӋQYjWұQWuQKKѭӟQJGүQJySê,
ÿӝQJYLrQ FK~QJHP trong VXӕWTXiWUuQKQJKLrQFӭXWKӵFKLӋQÿӗiQQj\
;LQFKkQWKjQKFҧPѫQ ÿӃQWҩWFҧ TXêWKҫ\F{WKXӝF.hoa CѫNKt &KӃWҥR Pi\
BӝP{Q&ѫÿLӋQWӱWUѭӡQJĈҥLhӑF6ѭpKҥP.ӻ tKXұW7P.HCMQKӳQJQJѭӡL ÿmWUDQJ
EӏFKRFK~QJHPQKӳQJNLӃQWKӭFFѫEҧQFNJQJQKѭÿmQKLӋWWuQK KѭӟQJGүQ JL~Sÿӥ
FK~QJHP WURQJVXӕWNKyDKӑF YӯDTXD
Vj VDXFQJ, [LQÿѭӧFFҧPѫQ, FKLDVҿQLӅPYXLQj\YӟLJLDÿuQKQJѭӡLWKkQ,
FQJWұSWKӇOӟS&ѫÿLӋQWӱNKyD- QKӳQJQJѭӡLÿmOX{QӣErQ, TXDQWkP JL~Sÿӥ
YjWҥRÿLӅXNLӋQWKXұQOӧLÿӇ FK~QJ W{LÿѭӧFKӑFWұSQJKLrQFӭX Yj KRjQWKjQKÿӗiQ
WӕWQJKLӋSQj\.
7S+ӗ&Kt0LQKQJj\01 WKiQJ01 QăP11
1KyP WKӵFKLӋQ
1JX\ӉQ+ҧLĈăQJ7kP
1JX\ӉQ/r1KұW7KҳQJ
vi
7Ï07Ҳ7%È2&È2
QuadURFRSWHUFzQÿѭӧFJӑLOjQuadrotor HHOLFRSWHUOjPӝWGҥQJPi\ED\OrQ
WKҷQJÿѭӧFQkQJEӣLEӕQFiQKTXҥWÿһWWUrQPӝWNKXQJFKӳWKұS
0{ KuQK ÿѭӧF [k\ GӵQJ WKӓD PmQ Fҧ \ӃX Wӕ Oj QKҽ Yj FKҳF FKҳQ 1KӳQJ
FKX\ӇQÿӝQJFӫDP{KuQKÿѭӧFÿRÿҥFWK{QJTXDEӝ,08 (Inertial0HDVXUHPHQW8QLW
FzQJӑLOjEӝÿROѭӡQJTXiQWtQK) EDRJӗPPӝWFRQTXD\KӗLFKX\ӇQhai WUөFYjFҧP
ELӃQÿӝQJKLrQJEDWUөFYjÿѭDYӅYLÿLӅXNKLӇQWKӵFKLӋQWKXұWWRiQÿLӅXNKLӇQ PID
cho ÿӝQJFѫWK{QJTXDSKѭѫQJSKiSÿLӅXFKӃÿӝUӝQJ[XQJ3:0
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&
7UDQJEuD i
1KLӋPYөÿӗiQWӕWQJKLӋS ii
1KұQ[pWFӫDJLiRYLrQKѭӟQJGүQ iii
1KұQ[pWFӫDJLiRYLrQSKҧQELӋQ iv
/ӡLFҧPѫQ v
7yPWҳWÿӗiQ vi
Abstract vii
0өFOөF viii
'DQKPөFKuQK x
'DQKPөFEҧQJ xiii
&iFTX\ѭӟFYjKҵQJVӕOLrQTXDQ xiv
&+ѬѪ1*7Ә1*48$1
1.1 6ӵNKiFQKDXJLӳD+HOLFRSWHUYjQuadrocopter 1
9ӅNӃWFҩXFѫNKtYjQJX\rQOêKRҥWÿӝQJ 1
9ӅWtQKQăQJÿLӅXNKLӇQ 3
1.2 7uQKKuQKQJKLrQFӭXWKXӝFOƭQKYӵFÿӅWjL 4
1.2.1 /ӏFKVӱSKiWWULӇQFӫDPi\ED\Quadrocopter 4
1.2.2 7uQKKuQKQJKLrQFӭXӣQѭӟFQJRjL 7
1.2.3 7uQKKuQKQJKLrQFӭXWURQJQѭӟF 10
1.3 1ӝLGXQJQJKLrQFӭXFӫDÿӅWjL 12
1.4 3KѭѫQJSKiSYjSKѭѫQJWLӋQQJKLrQFӭX 13
&+ѬѪ1*2: /é7+8<ӂ77,ӂ3&Ұ1
2.1 /êWKX\ӃWÿLӅXNKLӇQQuadrocopter 14
2.2 0{KuQKWRiQFӫDQuadrocopter 17
2.2.1 ĈӝQJKӑF 17
2.2.2 ĈӝQJOӵFKӑF 20
2.2.3 0{KuQK1HZWRQ-Euler 21
2.2.4 .KtÿӝQJKӑF 27
2.3 ĈLӅXNKLӇQÿӝQJFѫPӝWFKLӅXNK{QJFKәLWKDQ 32
2.4 %ӝOӑF.DOPDQ 36
2.4.1 .KiLQLӋPEӝOӑF 36
2.4.2 %ӝOӑF.DOPDQOjJu ? 36
2.4.3 %ҧQFKҩWFӫDEӝOӑF.DOPDQ 38
ix
2.4.4 4X\WUuQKѭӟFOѭӧQJ 38
2.4.5 6RViQKFiFEӝOӑFYӟLEӝOӑF.DOPDQ 40
2.5 *LiPViW- ÿLӅXNKLӇQJLDRWLӃSPi\WtQKGQJSKҫQPӅPLabVIEW 42
2.5.1 7әQJTXDQYӅLabVIEW 42
2.5.2 7uPKLӇXPӝWFKѭѫQJWUuQKLabVIEW 43
&+ѬѪ1* ;Æ<'Ӵ1*0Ð+Î1+QUADROCOPTER
3.1 6ѫÿӗNKӕLWәQJWKӇFӫDKӋWKӕQJ 46
3.2 7KLӃWNӃ FѫNKt 47
3.3 7KLӃWNӃKӋWKӕQJÿLӅXNKLӇQ 51
3.3.1 7D\ÿLӅXNKLӇQ 52
3.3.2 0ҥFKWUXQJWkP 53
3.3.3 Module RF 57
3.3&ҧPELӃQ,08 58
3.3.5 ĈӝQJFѫ%/'&Yj%ӝÿLӅXWӕF(6& 59
3.4 ;k\GӵQJWKXұWWRiQÿLӅXNKLӇQ 61
&+ѬѪ1*.ӂ748Ҧ7+Ӵ&1*+,ӊ0
4.1 ;k\GӵQJEӝOӑF.DOPDQFKRP{KuQKPi\ED\Quadrocopter 64
4.1.1 XӱOêWtQKLӋXFҧPELӃQ,08EұFWӵGR 64
4.1.2 TӕLѭXKyDWKXұWWRiQ.DOPDQ 65
4.1.3 XiFÿӏQKFiFWK{QJVӕYjKRjQFKӍQKEӝOӑF.DOPDQ 66
4.2 &KѭѫQJWUuQKJLiPViWGQJSKҫQPӅPLabVIEW 67
4.2.1 .LӇPWUDYj[ӱOêWtQKLӋXFҧPELӃQ 67
4.2.2 *LiPViWWUҥQJWKiLKRҥWÿӝQJFӫD4XDGURFRSWHU 69
4.3 .ӃWTXҧWKӵFQJKLӋP YjQKұQ[pW 73
4.3.1 ĈiSӭQJOӵFÿҭ\FӫD(6&± Motor 73
ĈiSӭQJFӫDP{KuQKYӟLFiFWK{QJVӕÿLӅXNKLӇQ3,' 77
&+ѬѪ1*.ӂ7/8Ұ1
5.1 1KӳQJNӃWTXҧÿҥWÿѭӧF 84
5.2 1KӳQJNӃWTXҧFKѭDÿҥWÿѭӧF YjELӋQSKiSNKҳFSKөF 85
5.3 +ѭӟQJSKiWWULӇQFӫDÿӅWjL 85
7jLOLӋXWKDPNKҧR 86
3KөOөF$
%ҧQYӁP{KuQK Pi\ED\ Quadrocopter 87
PKөOөF% VLÿLӅXNKLӇQATmega128 88
x
'$1+0Ө&+Î1+
+uQK5&+HOLFRSWHU7-rex 600 1
+uQK&өPVZDVKSODWHWUrQFѫFҩXFiQKFӫD+HOLFRSWHU 1
+uQK&өPFiQKTXҥWÿX{LFӫD+HOLFRSWHU 2
+uQKQuadrocopter 2
+uQK1JX\rQOêKRҥWÿӝQJFӫDQuadrocopter 3
+uQK3KkQORҥLYұWWKӇED\ 4
+uQK%UHJXHW- Richet Gyroplane No.1 5
+uQKQuadURFRSWHUFӫD(WLHQQH2HPLFKHQ 5
+uQK³%ҥFKWXӝFED\´ 6
+uQK&RQYHUWDZLQJV0RGHO$ 6
+uQK6ҧQSKҭP;-3URFӫDKmQJ'UDJDQIO\,QQRYDWLRQV 7
+uQK6ҧQSKҭP0'-FӫDKmQJ0LFURGURQH 8
+uQK0i\WtQKÿӇKLӇQWKӏFiFWK{QJVӕYӅWuQKWUҥQJFӫDPi\ED\ 8
+uQK6ҧQSKҭP$5'URQHFӫDKmQJ3DUURW 9
+uQK6ҧQSKҭP0.%DVLFVHW0(FӫDKmQJ0LNUR.RSWHU 9
+uQK0{KuQKPi\ED\QJKLӋPWKXWҥL6ӣ.KRDKӑF- &{QJQJKӋ 10
+uQK0ӝWFKLӃFPi\ED\ÿӝQJFѫFӫDFkXOҥFEӝP{KuQK 11
+uQKQuadURWRUYjQKyPVLQKYLrQ &ѫÿLӋQWӱĈ+&{QJQJKLӋS+j1ӝL 11
+uQK5RERWWӵKjQKNLӇXQuadURWRUFӫD+ӑFYLӋQ.ӻWKXұW4XkQVӵ 12
+uQKĈӏQKQJKƭDFiFKѭӟQJFKX\ӇQÿӝQJFӫDQuadrocopter 14
+uQK+RYHU 15
+uQK7KURWWOH 15
+uQK5ROO 16
+uQK3LWFK 16
+uQK2.6 Yaw 17
+uQK+ӋTX\FKLӃX(Yj% 17
+uQK&iFOӵFYjPRPHQWWiFGөQJOrQQuadrocopter 20
+uQK0RPHQWTXiQWtQKNKӕLKuQKKӝSFKӳQKұW 25
+uQK0{KuQKFiQKTXҥWWURQJWKX\ӃWÿӝQJOѭӧQJ 28
+uQK 7KX\ӃWFѫEҧQYӅFiQKTXҥW 29
+uQK 2.12 +uQKGiQJNKtÿӝQJKӑFFӫDFiQK 31
+uQKĈӝQJFѫ%/'&LQUXQQHU 32
+uQKĈӝQJFѫ%/'&RXWUXQQHU 32
+uQK6ѫÿӗÿҩXGk\ÿӝQJFѫ%/'&Yj(6& 33
xi
+uQK7tQKLӋX3:0ÿLӅXNKLӇQÿѭDYjR(6& 33
+uQK1JX\rQOêWҥRGzQJSKD 34
+uQK 6ѫÿӗFKXӛL[XQJ 35
+uQK6ѫÿӗPҥFKÿLӋQ(6&GQJSKѭѫQJSKiSFҧPӭQJ%(0) 35
+uQK&iFKWKӭF[ӱOtWtQKLӋXFӫDEӝOӑF 37
+uQK7tQKLӋXWKXÿѭӧFFKѭDÿѭӧFOӑFFӫDPi\ED\ 37
+uQK 0{KuQKKyDEӝOӑF.DOPDQ 38
+uQK&iFEѭӟF[k\GӵQJEӝOӑF.DOPDQ 40
+uQK*LҧQÿӗ%RGHYjSKDFӫDEӝOӑFEұFQKҩW 40
+uQK9tGөVRViQKFiFWtQKLӋXӣQJ}YjRPjX[DQKNӃWTXҧQJ}UDӣ
EӝOӑFEәSKөPjXÿHQYjӣEӝOӑF.DOPDQPjXÿӓ 41
+uQK.KҧQăQJNӃWKӧSYӟLFiFSKҫQFӭQJFӫDLabVIEW 42
+uQK)URQW3DQHOYj%ORFN'LDJUDPWURQJPӝWFKѭѫQJWUuQKLabVIEW 43
+uQK)URQWSDQHO 44
+uQK&iFFKӭFQăQJÿLӅXNKLӇQYjFKӍWKӏWURQJ)URQW3DQHO 44
+uQK%ORFN'LDJUDP 45
+uQK&iFKjPWURQJ%ORFN'LDJUDm 45
+uQK0jXVҳFFӫDGk\GӳOLӋXWURQJLabVIEW 45
+uQK6ѫÿӗNKӕLWәQJWKӇFӫDKӋWKӕQJ 46
+uQK2 7KLӃWNӃGQJFҩXKuQKFKRQJFKyQJÿҭ\SXVKHUSURSHOOHU 47
+uQK7KLӃWNӃGQJFҩXKuQKFKRQJFKyQJNpRWUDFWRUSURSHOOHU 48
+uQK0үXWKLӃWNӃWKӭED 49
+uQK0{SKӓQJӭQJVXҩWFKRFҩXKuQKFKRQJFKyQJÿҭ\ 49
+uQK0{SKӓQJӭQJVXҩWFKRFҩXKuQKFKRQJFKyQJNpR 50
+uQK0{SKӓQJFKX\ӇQYӏFKRFҩXKuQKFKRQJFKyQJÿҭ\ 50
+uQK0{SKӓQJFKX\ӇQYӏFKRFҩXKuQKFKRQJFKyQJNpR 50
+uQK0{KuQKPi\ED\4XDGURFRSWHUWKӵFWӃ 51
+uQK10 6ѫÿӗNKӕLWD\ÿLӅXNKLӇQ 52
+uQK1 6ѫÿӗQJX\rQOêWD\ÿLӅXNKLӇQ 52
+uQK2 %RDUGÿLӅXNKLӇQ 53
+uQK0ҥFKWUXQJWkPWUrQP{KuQK4XDGURFRSWHU 53
+uQK4 6ѫÿӗNKӕLPҥFKWUXQJWkP 54
+uQK5 6ѫÿӗQJX\rQOêPҥFKWUXQJWkP 55
+uQK6 %RDUGWUXQJWkP 56
+uQK7 %RDUGJLDRWLӃS56 57
+uQK8 0RGXOH5)VӱGөQJWUX\ӅQWK{QJ8$57 57
xii
+uQK9 ,08EұFWӵGRYjJ\URVFRSH/,6<$/ 58
+uQK20 Brushless motor FC2835-10T 59
+uQK21 &iQKTXҥW*:6(3-1060Rx3 59
+uQK2 &iQKTXҥW(33 60
+uQK23 ESC HiModel GX-40A 60
+uQK4 ESC Hobbywing Pentium 30A 61
+uQK5 &ҩXWU~FKӋ ÿLӅXNKLӇQ 61
+uQK6 6ѫÿӗNKӕLWtQKLӋXÿLӅXNKLӇQKRjQFKӍQK 62
+uQK7 6ѫÿӗNKӕLWtQKLӋXÿLӅXNKLӇQKLӋQWҥL 62
HuQK8 *LҧLWKXұWFKѭѫQJWUuQKÿLӅXNKLӇQFKtQK 63
+uQK9HFWRUWUӑQJOӵF[pWWURQJWUөFWӑDÿӝFӫDFҧPELӃQJLDWӕF 64
+uQK%ӝOӑF.DOPDQKRjQFKӍQK 66
+uQK*LDRGLӋQ[ӱOêWtQKLӋXGQJ.DOPDQWUrQ/DE9,(: 67
+uQK6ѫÿӗNKӕL[ӱOêWtQKLӋXGQJ.DOPDQWUrQ/DE9,(: 67
+uQK.KӕL9,9,6$&RQILJXUH3RUW 68
+uQK.KӕL9,9,6$5HDG 68
+uQK.KӕL9,9,6$:ULWH 68
+uQK.KӕL6SUHDGVKHHW6WULQJ7R$UUD\ 68
+uQK6ѫÿӗNKӕL0DWKVFULSW1RGH 68
+uQK*LDRGLӋQJLiPViWWUҥQJWKiL4XDGURFRSWHU 69
+uQK*LDRGLӋQJLiPViWWUҥQJWKiL4XDGURFRSWHUEҵQJKuQKҧQK' 70
+uQK%ORFN'LDJUDPFKѭѫQJWUuQKJLiPViWWUҥQJWKiL 71
+uQK&KѭѫQJWUuQKNKӕL$UWLILFLDO+RUL]RQ 71
+uQK&KѭѫQJWUuQKNKӕL'3LFWXUH 72
+uQK0ӝWFKѭѫQJWUuQK/DE9,(:KLӇQWKӏP{KuQKYұWWKӇ' 72
+uQK0{KuQKNLӇPWUDOӵFÿҭ\ÿӝQJFѫ 73
+uQKĈӗWKӏÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 76
+uQK8 ĈӗWKӏÿiSӭQJOӵFÿҭ\2FӫDÿӝQJFѫ 76
+uQK6ѫÿӗNKӕLEӝÿLӅXNKLӇQ3,'YӟLFiFNKkXWӍOӋWtFKSKkQÿҥRKjP 77
+uQKĈӗWKӏÿiSӭQJ3'FӫDJyFSLWFKYӟLWiFÿӝQJ 78
+uQK ĈӗWKӏÿiSӭQJ3'FӫDJyFUROOYӟLWiFÿӝQJ 79
+uQKĈӗWKӏÿiSӭQJ3,'FӫDJyFSLWFK 80
+uQKĈӗWKӏÿiSӭQJ3,'FӫDJyFUROO 81
+uQK7KӵFQJKLӋPÿiSӭQJÿLӅXNKLӇQJyFYӟLP{KuQKWUrQJLiÿӥ 82
+uQK5 1KӳQJKuQKҧQKED\WKӵFWӃFӫD P{KuQK4XDGURFRSWHU 83
xiii
'$1+0Ө&%Ҧ1*
%ҧQJ0{WҧFiFFKkQNӃWQӕLFӫDPRGXOH5) 57
%ҧQJ&iFWK{QJVӕNӻWKXұWFӫDFҧPELӃQ 58
%ҧQJ7K{QJVӕNӻWKXұWFӫDÿӝQJFѫ)&-10T 59
%ҧQJ7K{QJVӕNӻ WKXұWFӫD(6&HiModel GX-40A 60
%ҧQJ7K{QJVӕNӻ WKXұWFӫD(6&+REE\ZLQJ3HQWLXPA 61
%ҧQJ%ҧQJWKDPFKLӃXÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 74
%ҧQJ%ҧQJWKDPFKLӃXÿiSӭQJOӵFÿҭ\FӫDÿӝQJFѫ 75
xiv
&È&48<ѬӞ& 9¬+Ҵ1*6Ӕ/,Ç148$1
I. &iFTX\ѭӟF:
.êKLӋX ĈѫQYӏ 0{Wҧ
X m YӏWUtGjLWKHRWUөF
x
E
Y m YӏWUtGjLWKHRWUөF
y
E
Z m YӏWUtGjLWKHRWUөF
z
E
ij rad JyFUROO[RD\TXDQKWUөF;
ș rad JyFSLWFK[RD\TXDQKWUөF<
ȥ rad JyF\DZ[RD\TXDQKWUөF=
u m/s YұQWӕFGjLWKHRWUөF
x
B
v m/s YұQWӕFGjLWKHRWUөF
y
B
w m/s YұQWӕFGjLWKHRWUөF
z
B
p rad/s YұQWӕFJyF WKHRWUөF
x
B
q rad/s YұQWӕFJyF WKHRWUөF
y
B
r rad/s YұQWӕFJyF WKHRWUөF
z
B
ī
E
m
YHFWRUYӏWUtGjLWKHRKӋTX\FKLӃXE
ī
Ú
E
m
YHFWRUYұQWӕFGjLWKHRKӋTX\FKLӃXE
ī
ÚÚ
E
m/s
2
YHFWRUJLDWӕFGjLWKHRKӋTX\FKLӃX(
Ĭ
E
rad
YHFWRUYӏWUtJyFWKHRKӋTX\FKLӃXE
Ĭ
Ú
E
rad/s
YHFWRUYұQWӕFJyFWKHRKӋTX\FKLӃXE
rad/s
2
YHFWRUJLDWӕFJyFWKHRKӋTX\FKLӃX(
V
E
m/
s
vector vұQWӕFGjLWKHRKӋTX\FKLӃXE
V
B
m/
s
vector YұQWӕFGjLWKHRKӋTX\FKLӃXB
ሶ
B
m/
s
2
vHFWRUJLDWӕF GjLWKHRKӋTX\FKLӃXB
Ȧ
B
rad/
s
vector
YұQWӕFJyFWKHRKӋTX\FKLӃXB
ɘሶ
rad/s
2
YHFWRUJLDWӕFJyFWKHRKӋTX\FKLӃX%
ȟ
-
YHFWRUYӏWUtWәQJTXiWWKHRKӋTX\FKLӃXE
ȟ
Ú
-
YHFWRUYұQWӕFWәQJTXiWWKHRKӋTX\FKLӃX(
Ȟ
-
vector vұQWӕFWәQJTXiW theo
KӋTX\FKLӃX%
Ȟ
Ú
-
YHFWRUJLDWӕFWәQJTXiWWKHRKӋTX\FKLӃX%
ȗ
-
vector vұn tӕc tәQJTXiWWKHRKӋTX\FKLӃX+
ȗ
Ú
-
YHFWRUJLDWӕFWәQJTXiWWKHRKӋTX\FKLӃX+
xv
ȁ
-
YHFWRUOӵFWәQJTXiW
F
E
N YHFWRUOӵF
theo
KӋTX\FKLӃX(
F
B
N YHFWRUOӵF
theo
KӋTX\FKLӃX%
E
G
F
N
YHFWRUOӵFKҩSGүQWKHRKӋTX\FKLӃX(
B
G
F
N YHFWRUOӵFKҩSGүQWKHRKӋTX\FKLӃX%
G
B
(ȟ)
-
YHFWRUKҩS GүQWKHRKӋTX\FKLӃX%
G
H
-
YHFWRUKҩSGүQWKHRKӋTX\FKLӃX+
U
B
-
YHFWRUFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃX%
U
1
N OӵFQkQJWKHRKӋTX\FKLӃX%
U
2
Nm PRPHQW[RҳQUROOWKHRKӋTX\FKLӃX%
U
3
Nm PRPHQW[RҳQSLWFKWKHRKӋTX\FKLӃX%
U
4
Nm PRPHQW[RҳQ\DZWKHRKӋTX\FKLӃX B
ɒ
B
Nm moment [RҳQtheo KӋTX\FKLӃX%
R
Ĭ
-
PDWUұQ[RD\
T
Ĭ
-
PDWUұQFKX\ӇQYӏ
J
Ĭ
-
PDWUұQWәQJTXiW
E
B
-
PDWUұQFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃXB
E
H
(ȟ)
-
PDWUұQFKX\ӇQÿӝQJ WKHRKӋTX\FKLӃX H
M
B
-
PDWUұQTXiQWtQKKӋWKӕQJWKHRKӋTX\FKLӃX%
M
H
-
ma trұQTXiQWtQKKӋ thӕng WKHRKӋTX\FKLӃu H
O
B
(
Ȟ
)
-
PDWUұQFiQKTXҥWKӗLFKX\ӇQ WKHRKӋTX\FKLӃXB
O
H
(ȗ)
-
PDWUұQFiQKTXҥWKӗLFKX\ӇQ WKHRKӋTX\FKLӃX H
C
B
(
Ȟ
)
-
PDWUұQ&RULROLVKѭӟQJWkPWKHRKӋTX\FKLӃX%
C
H
(ȗ)
-
PDWUұQ&RULROLVKѭӟQJWkPWKHRKӋTX\FKLӃX H
S
( )
-
PDWUұQÿӕL[ӭQJOӋFK
rad/
s
YHFWRUWӕFÿӝFiQKTXҥW
π
1
rad/
s
WӕFÿӝFiQKTXҥWWUѭӟF
π
2
rad/
s
WӕFÿӝFiQKTXҥWSKҧL
π
3
rad/
s
WӕFÿӝFiQKTXҥWVDX
π
4
rad/
s
WӕFÿӝFiQKTXҥWWUiL
T
MT
N
OӵFQkQJWKHRWKX\ӃWÿӝQJOѭӧQJ
T
BET
N
OӵFQkQJWKHRWKX\ӃWFiQKTXҥW
xvi
Q
BET
Nm PRPHQW[RҳQFӫDFiQKTXҥW
ሶ
A
kg/s ÿӝWKD\ÿәL FӫD NKӕLOѭӧQJNK{QJNKtTXDÿƭDTXҥW
p
1
Pa iSVXҩWNK{QJNKtWiFGөQJWUӵFWLӃSSKtDWUrQÿƭD
p
2
Pa iSVXҩWNK{QJNKtWiFGөQJWUӵFWLӃSGѭӟLWUrQÿƭD
p
Pa iSVXҩWFұQGѭӟL
p
-
Pa iSVXҩWFұQWUrQ
v
1
m/s
YұQWӕFNK{QJNKtWiFGөQJWUӵFWLӃSSKtDWUrQÿƭD
v
2
m/s
YұQWӕFNK{QJNKtWiFGөQJWUӵFWLӃSGѭӟLWUrQÿƭD
v
I
m/s
YұQWӕFNK{QJNKtQJD\WҥLÿƭDTXҥW
v
m/s
YұQWӕFFұQGѭӟL
v
-
m/s
YұQWӕFFұQWUrQ
v
V
m/s YHFWRUYұQWӕFGRFKX\ӇQÿӝQJFӫDGzQJNKtFӫDFiQKTXҥW
v
H
m/s YHFWRUYұQWӕFGRYұQWӕFJyFFӫDOѭӥi FiQKTXҥt
Z
P
rad/s YұQWӕFJyFFӫDFiQKTXҥW
dD
BET
N/m YLSKkQOӵFNpR
dL
BET
N/m YLSKkQ OӵFQkQJ
dF
BET
N/m YLSKkQOӵFNKtÿӝQJKӑc
dT
BET
N/m YLSKkQ OӵFNKtÿӝQJKӑFWKHRSKѭѫQJÿӭQJ
dH
BET
N/m YLSKkQOӵFNKtÿӝQJKӑFWKHRSKѭѫQJQJDQJ
T
I
rad JyFKӧSJLӳDÿѭӡQJQJDQJYӟLÿѭӡQJFKLDFiQKTXҥW
T
Io
rad KҵQJVӕ]HURJyFWҩQ
T
Itw
rad JyF[RҳQFӫDJyFWҩQ
ĭ
I
rad JyFWҩQOѭXOѭӧQJGzQJNKtYjR
II.
&iFKҵQJVӕ
.êKLӋX ĈѫQYӏ *LiWUӏ 0{Wҧ
a rad
-1
2 ʌ JyFQkQJ
A m
2
75.5 x 10
-3
GLӋQWtFKÿƭDFiQKTXҥW
b N s
2
54,2 x 10
-6
KӋVӕÿҭ\
b
BET
N s
2
54,2 x 10
-6
KӋVӕÿҭ\WKHRWKX\ӃWFiQKTXҥW
b
MT
N s
2
54,2 x 10
-6
KӋVӕÿҭ\WKHRWKX\ӃWÿӝQJOѭӧQJ
c m 0.02 FKLӅXGjLWUXQJEuQKÿѭӡQJFKLDFiQKTXҥW
C
D
-
0.05 KӋVӕNpRGUDJ
C
L
-
0.05 KӋVӕQkQJ(lift)
xvii
d N m s
2
1.1 x 10
-6
KӋVӕNpR
g m/s
2
9.81 gia tӕFWUӑQJWUѭӡQJ
TP
J
Nms
2
104x10
-6
PRPHQWTXiQWtQKTXD\WәQJFӝQJÿӕLYӟLWUөF
FiQKTXҥW
l m 0.22 NKRҧQJ FiFK Wӯ WkP QuadURFRSWHU ÿӃQ WkP
FiQKTXҥW
m kg 1.365 NKӕLOѭӧQJQuadrocopter
N
B
-
2 VӕFiQKEODGHFӫDFiQKTXҥW
U
A
kg/m
3
29 PұWÿӝNK{QJNKt
1
&+ѬѪ1*,7Ә1*48$1
1.1 6ӵNKiFnhau giӳD+HOLFRSWHUYjQuadrocopter
[1]
7UӵF WKăQJ WK{QJ WKѭӡQJ +HOLFRSWHU Yj WUӵF WKăQJ EӕQ FKRQJ FKyQJ
(Quadrocopter, Quadrotor hay QuadFRSWHUÿѭӧF[ӃSYjRORҥLPi\ED\FyNKҧQăQJ
FҩWFiQKYjKҥ FiQKWKҷQJÿӭQJKD\FzQJӑL972/9HUWLFDO7DNH2IIDQG/DGLQJFҧ
KDLORҥLQj\ÿӅXFyNKҧQăQJGLFKX\ӇQWKHRKѭӟQJOrQ-[XӕQJWUѭӟF-VDXWUiL-SKҧL
NKҧQăQJÿӭQJ\rQWҥLFKӛ KRYHUPjPi\ED\FiQKEҵQJNK{QJFy7X\QKLrQ, giӳD
KDLORҥLQj\FyQKӳQJÿLӇPNKiFQKDXFѫEҧQ QKѭ sau:
1.1.1 9͉N͇WF̭XF˯NKtYjQJX\rQOêKR̩Wÿ͡QJ
6RYӟLORҥLP{KuQKWUӵFWKăQJWK{QJWKѭӡQJFyNӃWFҩXFѫNKtUҩWSKӭFWҥSYj
QKLӅXFKLWLӃWQKӓJLDF{QJWLQK[ҧRWKuQuadURFRSWHUÿѫQJLҧQKѫQUҩWQKLӅXORҥLQj\
FKӍJӗPPRWRUÿLӋQJҳQFiQKTXҥWÿѭӧFÿһWӣEӕQJyFFӫDPӝWKuQKYX{QJWURQJ
NKLWUӵFWKăQJP{KuQKWK{QJWKѭӡQJEDRJӗPKӋWKӕQJÿƭD[RD\VZDVKSODWHURWRU
KHDGYjFiFFҫQDUPURGÿӇWKD\ÿәLJyFWҩQ SLWFKFӫDFiQKTXҥWFKtQKWK{QJTXD
FiFVHUYRQKӓ
+uQK5&+HOLFRSWHU7-rex 600
+uQK&өPVZDVKSODWHWUrQFѫFҩXFiQKFӫD+HOLFRSWHU
1JRjLUDWUӵFWKăQJWK{QJWKѭӡQJFzQFyKӋWKӕQJFiQKTXҥWÿX{LÿӇOjPWULӋW
WLrXPRPHQWGRFiQKTXҥWFKtQKJk\UDĈLӅXQj\WLrXWӕQÿӃQQăQJOѭӧQJWәQJ
FӝQJFӫDPi\ED\1ăQJOѭӧQJQj\NK{QJVLQKF{QJÿӇQkQJPi\ED\PjFKӍWULӋWWLrX
PRPHQW[RҳQFKRQrQÿk\OjQăQJOѭӧQJY{tFKOjPJLҧPKLӋXVXҩWFӫDPi\ED\
2
+ѫQQӳDFiFKӋWKӕQJEiQKUăQJÿӇWUX\ӅQÿӝQJWӯPRWRUFKtQKVDQJFiQKTXҥW
FKtQKYjFiQKTXҥWÿX{LFNJQJUҩWSKӭFWҥS
+uQK3 &өPFiQKTXҥWÿX{LFӫDHelicopter
ĈӕLYӟLQuadURFRSWHUNӃWFҩXFKӍJӗPPRWRUÿLӋQJLӕQJQKDXFyOҳSFiQKTXҥW
ÿѭӧFÿһWӣJyFKuQKYX{QJYjFiQKTXҥWFyWKӇJҳQWUӵFWLӃSKD\WK{QJTXDWUX\ӅQ
ÿӝQJEiQK UăQJPRWRUQj\ÿѭӧFFKLDUDOjPFһSWUѭӟF-VDXWUiL-SKҧL
+uQKQuadrocopter
&KLӅXTXD\FӫDPRWRUWURQJPӛLFһSOjJLӕQJQKDXQKѭQJFKLӅXTXD\FӫDFһS
WUѭӟF-VDXYjWUiL-SKҧLOjQJѭӧFQKDX9tGөFһSWUѭӟF-VDXTXD\FQJFKLӅXNLPÿӗQJ
Kӗ WKu FһS WUiL-SKҧL TXD\ QJѭӧF FKLӅX NLP ÿӗQJ Kӗ 9j FiQK TXҥW GQJ WURQJ
QuadURFRSWHUSKҧLOjORҥLQJѭӧFQKDXPӝWORҥLTXD\FQJFKLӅXYjPӝWORҥLQJѭӧF
FKLӅXNLPÿӗQJKӗ7K{QJWKѭӡQJGQJORҥLFyJyFWҩQ FӕÿӏQKIL[HGSLWFK
0өF ÿtFK FӫDYLӋF Qj\ Oj ÿӇ WULӋWWLrX PRPHQW [RҳQ GR WӯQJFһS Jk\ UD 7X\
QKLrQQJRjLNKҧQăQJWҥRPRPHQWWULӋWWLrXQKDXPRWRUQj\NKLTXD\ÿӅXWҥROӵF
QkQJFKRPi\ED\NK{QJQKѭKӋWKӕQJKӋWKӕQJÿX{LFӫDWUӵFWKăQJWK{QJWKѭӡQJ
NK{QJWҥRÿѭӧFOӵFQkQJPjFKӍQKҵPOjPWULӋWWLrXPRPHQWFӫDFiQKTXҥWFKtQKĈk\
OjPӝWѭXÿLӇPOӟQFӫDQuadrocopter.
3
1JRjLPRWRUYjFiQKTXҥWUDWKuQuadURFRSWHUNK{QJFzQPӝWFKLWLӃWFKX\ӇQ
ÿӝQJQjRNKiFFKRQrQÿk\OjPӝWOӧLÿLӇPNKLVӱGөQJYjNK{QJFҫQSKҧLWKD\WKӃ
FiFFKLWLӃWQj\NKLEӏUӟWKD\YDFKҥPQKѭ+HOLFRSWHU
0ӝW\ӃXWӕUҩWTXDQWUӑQJQӳDOjGRÿѭӡQJNtQKFiQKTXҥWFӫDQuadURFRSWHUQKӓ
KѫQQKLӅXVRYӟL+HOLFRSWHUFKRQrQYLӋFED\WKӱQJKLӋPKD\ED\WURQJQKjFNJQJGӉ
GjQJYjWKXұQOӧLNK{QJJk\QJX\KLӇPWӟLQJѭӡL[XQJTXDnh.
1JX\rQOêKRҥWÿӝQJFӫDORҥLQuadURFRSWHUQj\FNJQJUҩWÿѫQJLҧQ
+uQK5 1JX\rQOêKRҥWÿӝQJFӫDQuadrocopter
x WUѭӟF-sau: ÿӇÿLYӅErQWUѭӟFPRWRUSKtDWUѭӟFJLҧPWӕFVRYӟLPRWRUVDXYj
QJѭӧFOҥLÿӇÿLYӅSKiLVDXPRWRUVDXJLҧPWӕFVRYӟLPRWRUWUѭӟF
x WUiL-SKҧL: ÿӇÿLYӅErQWUiLPRWRUWUiLJLҧPWӕFVRYӟLPRWRUSKҧLYjQJѭӧFOҥL
ÿӇÿLYӅErQSKҧLPRWRUSKҧLJLҧPWӕFVRYӟLPRWRUWUiL
x OrQ-[XӕQJ: tăQJWӕFKD\JLҧPWӕFÿӗQJWKӡL4 PRWRUVӁOjPWăQJOӵFQkQJKD\
JLҧPOӵFQkQJ ÿӇ ED\OrQKD\ [XӕQJ
x [RD\PXӕQ[RD\FQJFKLӅXNLPÿӗQJKӗWKuFһSPRWRUTXD\FQJFKLӅXNLP
ÿӗQJKӗYtGөWUѭӟF-VDXVӁTXD\FKұPKѫQFһSPRWRUTXD\QJѭӧFFKLӅXNLPÿӗQJKӗ
YtGөWUiL-SKҧL1JѭӧFOҥLPXӕQ[RD\QJѭӧFFKLӅXNLPÿӗQJKӗWKuFһSPRWRUTXD\
QJѭӧFFKLӅX NLPÿӗQJKӗWUiL-SKҧLVӁTXD\FKұPKѫQFһSPRWRUTXD\FQJFKLӅX
NLPÿӗQJKӗWUѭӟF-sau).
1.1.2 9͉WtQKQăQJÿL͉XNKL͋Q
;pWYӅPһWQj\WKuQuadURFRSWHUÿzLKӓLKӋWKӕQJPҥFKÿLӅXNKLӇQSKӭFWҥSKѫQ
YuSKҧLVӱGөQJFiF FҧPELӃQTXiQWtQKQKѭJ\UR (gyroscope) YjJLDWӕF (accelero-
meter) ÿӇWtQKWRiQÿѭӧFJyFQJKLrQJYjYұQWӕFTXD\WKHREDWUөFÿӇJLӳWKăQJEҵQJ
QӃXNK{QJVӁNK{QJWKӇQjRÿLӅXNKLӇQÿѭӧF7\WKHRKӋWKӕQJPҥFKÿLӅXNKLӇQWӕW
WӟLPӭFQjRVӁTX\ӃWÿӏQKWӟLNKҧQăQJÿLӅXNKLӇQQuadURFRSWHUGӉKD\NKy
1KѭQJ NKL ÿmÿѭӧF WKLӃW NӃ WӕWPӝW QJѭӡLFKѭD WӯQJÿLӅX NKLӇQ TXD OҫQQjR
FNJQJFy WKӇ ÿLӅX NKLӇQ ÿѭӧF QuadURFRSWHU PӝWFiFK GӉ GjQJ 7KHR QKѭQJX\rQOê
4
KRҥWÿӝQJÿmÿӅFұSWӟLӣWUrQWKuÿLӅXNKLӇQQuadURFRSWHUWKӵFFKҩWFKӍOjÿLӅXNKLӇQ
WӕFÿӝ FӫDPRWRUÿӇFyÿѭӧFFKX\ӇQÿӝQJPRQJPXӕQ
ĈӕL YӟL +HOLFRSWHUYLӋF ÿLӅX NKLӇQEDR JӗP UҩW QKLӅX \ӃX WӕÿLӅX NKLӇQ FiF
VHUYRÿӇWKD\ÿәLJyFWҩQ FӫDFiQKTXҥWFKtQKWKD\ÿәLWӕFÿӝFiQKTXҥWFKtQKWKD\
ÿәLWӕFÿӝKRһFJyFWҩQ FӫDFiQKTXҥWÿX{LÿӇEҿOiLWKD\ÿәLPһWSKҷQJTXD\FӫD
FiQKTXҥWFKtQKYY/RҥLQj\UҩWNKyÿLӅXNKLӇQFҫQSKҧLFyQKLӅXNӻQăQJYjNLQK
QJKLӋPĈӇFyWKӇÿLӅXNKLӇQÿѭӧFP{KuQKORҥLQj\QJѭӡLÿLӅXNKLӇQSKҧLPҩWPӝW
WKӡLJLDQNKiOkXÿӇOjPTXHQYjWKѭӡQJWKuSKҧLWұSOiLWUrQFiFSKҫQPӅPP{SKӓQJ
WUѭӟFPӟLÿӫWӵWLQFҫPOiL1ӃXNK{QJUӟWPi\ED\OjPӝWÿLӅXUҩWGӉ[ҧ\UD
1.2 7uQKKuQKQJKLrQFӭXWKXӝFOƭQKYӵFÿӅWjL
1.2.1 /͓FKV͵SKiWWUL͋QFͯDPi\ED\Quadrocopter
CyWKӇSKkQORҥLYұWWKӇED\UDWKjQKFiFORҥLQKѭVDX
+uQK1.6 3KkQORҥLYұWWKӇED\
&KLӃFQuadrocopter ÿҫXWLrQWUrQWKӃJLӟLUDÿӡLQăPGRDQKHPQKjNKRD
KӑFQJѭӡL3KiS/RXLVYj-DFTXHV%UHJXHW FQJJLiRVѭ Charles Richet KӧSWiF FKӃ
WҥR1yÿѭӧFPDQJWrQOj³%UHJXHW± Richet Gyroplane No.1´<rXFҫX ÿѭӧFÿѭDUDOj
QyFyWKӇ FҩWFiQKNKӓLPһWÿҩWYӟLSKLF{QJ0ӝWÿӝQJFѫ[y-ODQKÿѭӧFVӱGөQJ
ÿӇTXD\FiQK TXҥW0ӛLFiQKTXҥWFyEҧQFiQK+ӋWKӕQJGk\ÿDLYjSX-OLÿѭӧFJҳQ
OrQQKҵPWUX\ӅQÿӝQJWӯÿӝQJFѫFKRFiFFiQK%ӝNKXQJFӫD FKLӃFQuadrocopter Qj\
OjP Wӯ FiF ӕQJ WKpS 7әQJ WUӑQJ OѭӧQJ FӫD Qy YjR NKRҧQJ 75Kg /ҫQ ED\ WKӱ
QJKLӋPÿҫXWLrQGLӉQUDWҥL'RXDL- 3KiSYjRQăPQyÿmFyWKӇQkQJFDRNKӓL
PһWÿҩW.5m.
Quadro-
copter
5
+unh 1.7 Breguet- Richet Gyroplane No.1
ĈӃQ QăP (WLHQQH 2HPLFKHQ ÿmFKӃ WҥR PӝW FKLӃF Quadrocopter YӟL 8
FiQKTXҥWOLQKKRҥWQKҵPÿLӅXNKLӇQYjWҥROӵFÿҭ\%DQÿҫXQyÿѭӧFJҳQWKrPPӝW
NKtFҫXÿӇQkQJYjJLӳәQÿӏQKFKRFӛPi\Qj\1ăP22HPLFKHQÿmWKjQKF{QJ
NKLFKRFKLӃFQuadrocopter ED\PjNK{QJFҫQVӵWUӧJL~SFӫDNKtFҫX 6DXÿy Qy
NK{QJEDRJLӡÿѭӧFVӱGөQJQӳD.
+uQK1.8 QuadURFRSWHUFӫD(WLHQQH2HPLFKHQ
6
&NJQJWURQJQăPWLӃQVƭ*HRUJHGH%RWKH]DWYj,YDQ-HURPHÿmWKjQKF{QJ
NKLWKLӃWNӃ FKLӃFQuadrocopter NKәQJOӗSKөFYөFKRTXkQÿӝL0ӻ&ӛPi\Qj\ÿm
ÿѭӧFÿLӅXNKLӇQEҵQJFiFKWKD\ÿәLÿѫQOҿKRһFFQJO~FFiFJyF[RҳQFӫDFiQKTXҥW
1JRjLUDQyFzQÿѭӧFJҳQWKrPFiQKTXҥWORҥLQKӓÿӇWUӧJL~SÿLӅXNKLӇQ&KLӃF
Quadrocopter Qj\ÿѭӧFÿһWWrQOj´%ҥFKWXӝFED\´1KѭQJGӵiQQj\EӏKӫ\EӓQJD\
OұSWӭFYuNKҧQăQJED\WKҩSJLiWKjQKFDR
+uQK³%ҥFKWXӝFED\´
ĈӃQQăP1956, Convertawings lҫQQӳD OjPVӕQJOҥL tKLӃWNӃWUӵFWKăQJ FiQK
TXҥWÿmÿѭӧFWKӱQJKLӋPQăP EӣL Oemichen WҥL 3KiS Yj G. de Bothezat WҥL 0ӻ.
BӕQ FiQKTXҥW FӫD FKLӃFWUӵFWKăQJ Qj\ ÿѭӧF JҳQNӃW theo WӯQJFһSWUrQWKDQKQӕL
song song. &ѫFKӃ NLӇPVRiW Y{FQJ ÿѫQJLҧQ EҵQJFiFK WKD\ÿәL OӵFÿҭ\ JLӳD FiF
FiQKTXҥW. 1ăQJOѭӧQJ ÿѭӧFFXQJFҩS EӣL hai ÿӝQJFѫWUX\ӅQÿӝQJWӟL KӋWKӕQJ FiQK
TXҥW EҵQJ Gk\ÿDL FKӳ9. 0i\ED\Fy EDEiQK ÿiS YӟL hai EiQKVDX Yj PӝW EiQKWUѭӟF
Fy
WKӇ xoay ÿѭӧF. &KX\ӃQED\ÿѭӧFWKӵFKLӋQWKjQKF{QJYjRWKiQJQăPWҥL
0ӻ7X\QKLrQGӵiQQj\ÿmVӟPEӏFKҩPGӭWGRNK{QJQKұQÿѭӧFÿѫQÿһWKjQJ
+uQKConvertawings Model A
7ӯÿyFiFFҩXKuQKFӫD Pi\ED\ QuadURFRSWHUNK{QJFzQÿѭӧFFK~êQKѭWUѭӟF
0mL FKR ÿӃQQKӳQJ QăP JҫQ ÿk\, Quadrocopter PӟL ÿѭӧF TXDQ WkP WUӣ OҥL vu NKҧ
QăQJӭQJGөQJUҩWOӟQWURQJOƭQKYӵFWKLӃWEӏ bay P{KuQK.
[14]
7
1.2.2 7uQKKuQKQJKLrQFͱXͧQ˱ͣFQJRjL
9uWtQKFKҩWÿѫQJLҧQWURQJNӃWFҩXFѫNKtYjWtQKOLQKÿӝQJWURQJYLӋFÿLӅXNKLӇQ
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
WKjQKVҧQSKҭPWKѭѫQJPҥL
6DXÿk\[LQÿѭӧFJLӟLWKLӋXPӝWYjLVҧQSKҭPÿLӇQKuQK
a6̫QSḴP;-3URFͯD'UDJanfly Innovations
[1]
+uQK11 6ҧQSKҭP;-3URFӫDKmQJ'UDJDQIO\Innovations
&iFWK{QJVӕNӻWKXұW
- &yWKӇQkQJÿѭӧFWӕLÿDJ
- ĈѭӧFÿLӅXNKLӇQEҵQJEӝY{WX\ӃQNrQK)03&0
- .KXQJEҵQJFDUERQ
- 9ұQKjQKEҵQJSLQP$K9
- 0DQJFDPHUDÿӇTXDQViWFKөSNK{QJҧQK
- 7KӡLJLDQED\SK~W
- *Li·
7X\QKLrQYLӋFÿLӅXNKLӇQORҥLPi\ED\Qj\SKөWKXӝFQKLӅXYjRNӻQăQJFӫD
QJѭӡLÿLӅXNKLӇQYjFҫQWKӡLJLDQÿӇOjPTXHQYuNK{QJFyKӋWKӕQJWӵFkQEҵQJYj
FiFFҧPELӃQFҫQWKLӃWNKiF
E6̫QSḴP0'-FͯDKmQJ0LFURGURQH
[1]
Ĉk\Oj PӝWVҧQSKҭPFӵFNǤFKX\rQQJKLӋSYjQyFyWrQJӑLOj972/$80$9
(Vertical Take Off and Landing Autonomous Unmanned Micro Aerial Vehicle) hay
Pi\ ED\ VLrX QKӓWӵ ÿӝQJFҩW FiQKYj KҥFiQK WKҷQJÿӭQJ /RҥL Qj\ Fy KӋ WKӕQJ
AAHRS ( Altitude and Attitude and HHDGLQJ5HIHUHQFH6\VWHPKD\FzQJӑLKӋWKӕQJ
WKDPFKLӃXÿӝFDRJyFQJKLrQJYjKѭӟQJÿѭӧFWUDQJEӏFiFORҥLFҧPELӃQJLDWӕF
J\URFҧPELӃQWӯWUѭӡQJYjQKLӋWÿӝFҧPELӃQiSVXҩWFҧPELӃQÿӝҭP1JRjLUDFzQ
FyNKҧQăQJED\WKHROӝWUuQKFjLÿһWVҹQQKӡWUDQJEӏWKLӃWEӏÿӏQKYӏWRjQFҫX*36
MD4-ÿѭӧFWUDQJEӏFDPHUDÿӇWKӵFKLӋQFKөSNK{QJҧQKTXDQViWWKHRG}L
KD\WULQKWKiPWUrQNK{QJ&iFSKөWQJNKiFNqPWKHREDRJӗP KӝSÿӵQJEӝWKX
8
SKiWWtQKLӋXYLGHRYjGӳOLӋXPi\WtQKÿӇKLӇQWKӏFiF WK{QJVӕYӅWuQKWUҥQJFӫDPi\
ED\FNJQJQKѭFiFWtQKLӋXFҧPELӃQFiFJyFQJKLrQJGӳOLӋX*36«
Khung MD4-WҩWFҧÿӅXOjPEҵQJFDUERQYuWKӃUҩWQKҽYjFKӏXYDÿұSUҩWWӕW
QJRjLUDGROjPEҵQJFDUERQQrQNKXQJFӫD0'-KRҥWÿӝQJQKѭPӝWYӓEӑFFy
NKҧQăQJFKӕQJFiFORҥLQKLӉXÿLӋQWӯ
%ҵQJFiFKVӱGөQJPRWRUFyVӕYzQJTXD\WӕLÿDYzQJSK~WQrQÿӝӗQUҩW
WKҩSG%$#PUҩWWKtFKKӧSFKRPөFÿtFKWULQKWKiPKD\TXDQViWWUrQNK{QJ
PjNK{QJEӏSKiWKLӋQĈһFWtQKDQWRjQFӫD0'-QKӡNKҧQăQJWUiQKEӏUӟWYjWӵ
ÿӝQJKҥFiQKDQWRjQNKLSLQJҫQKӃWKD\OjPҩWWtQKLӋXY{WX\ӃQÿLӅXNKLӇQ
1JXӗQÿLӋQOjSLQ/LSR9P$K7\WKXӝFYjRWҧLPDQJWKHRWӕLÿD
JJLyQKLӋWÿӝPjWKӡLJLDQED\FӫD0'-FyWKӇOrQWӟLSK~W *Li
+uQK12 6ҧQSKҭP0'-FӫDKmQJ0LFURGURQH
+uQK13 0i\WtQKÿӇKLӇQWKӏFiFWK{QJVӕYӅWuQKWUҥQJFӫDPi\ED\
c6̫QSḴP FͯD$5'URQHFͯDKmQJ Parrot
Ĉk\OjVҧQSKҭPSKөFYө PөFÿtFKJLҧLWUtFKҥ\WUrQӭQJGөQJFӫDL3KRQH
AR.'URQHVӱGөQJSLQ/L-LRQQӃXÿѭӧFVҥFÿҫ\WKuQyFyWKӇED\WURQJYzQJ
SK~W3KҫQWKkQFӫDQyUҩWQKӓ, ÿѭӧFOjPWӯVӧLFDUERQYj[ӕSÿӇJLҧPWUӑQJOѭӧQJ
$5'URQHFKӍQһQJJUDP
&KLӃFPi\ED\P{KuQKQj\FyFDPHUDPӝWÿһWSKtDWUѭӟFYjPӝWӣ brQGѭӟL
NӃWQӕLWUӵFWLӃSYӟLÿLӋQWKRҥLL3KRQHTXDVyQJZLIL1KӳQJKuQKҧQKWӯFDPHUDWUrQ
Pi\ED\VDXÿyVӁKLӇQWKӏWUrQPjQKuQKL3KRQHJL~SQJѭӡLGQJÿLӅXNKLӇQGӉGjQJ
YjDQWRjQKѫQ