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Page 1: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller
Page 2: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller
Page 3: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller

Proceedings of the 32nd Chinese Control Conference, July 26-28, 2013, Xi'an, China

航空发动机多变量鲁棒自适应控制方法研究

Study of Aeroengine Multivariable Robust Adapting Control Method

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . LI Huacong, GAO Xiang, FU Jiangfeng,

WANG Shuhong 3064

Adaptive Backstepping Control of Hydraulic Servo System with Input Saturation for Rolling Mill

Based

on Multi-model Switching . . . . . . . . . . . . . . . . . . . . . LI Yehong, FANG Yi Ming, LI Jianxiong,

SHI Shengli 3068

Pilot Anaerobic Plant's Description, Modeling and Output Feedback Control

. . . . . . . . . . WANG Haoping, TIAN Yang, KALCHEV Boyko, SIMEONOV Ivan, CHRISTOV

Nicolai 3073

面向重心变化的预估模型参考自适应控制器设计

A Predictor-Based Model Reference Adaptive Controller for Aircraft with Center of Gravity

Variations

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . HAN Chan, YANG

Lingyu, ZHANG Jing 3079

RBF Based Adaptive Backstepping Neural Control of a Dual-Axis Motion Platform

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ELKOTESHY Yasser, YANG Shuyuan,

HEGAZY Moutaz 3083

Muti-AUV's Formation Coordinated Control in the Presence of Communication Losses

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

ZHANG Lijun, QI Xue 3089

Design of Adaptive Systems by Using Fractional Calculus System's Approach

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . TAKAMATSU Takahiro,

OHMORI Hiromitsu 3095

Biomass Gasi_cation Temperature Parameter Adaptive Time-Delay Compensator Design

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . HUANG Rong, KANG Yu, FU

Xinxin, XIE Zhen 3100

Adaptive Fuzzy Control of MEMS Gyroscope Using T-S Fuzzy Model

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . FEI Juntao, WANG Shitao,

HUA Mingang 3104

Two Approaches of Adaptive Synchronization for Chaotic Systems with Diverse Structures

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . KANG Yu, LING Qiang, LIU Kunpeng,

SHANG Weike 3110

一种最小相位系统的低阶自适应控制

A Low-order Adaptive Controller for A Class of Minimum-phase System . . . . . . . . . . . . . . .

WANG Yong 3114

改进PSO 算法用于三轴测量系误差校正

Improved Particle Swarm Optimization Applied in Calibrating a Three-axis Measuring System

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . LIU Yanqiu 3120

变结构控制(Variable Structure Control)

Path Following and Stabilization of Underactuated Surface Ships Based on Hierarchical Sliding

Page 4: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller

1 1 1

1. , 100191 E-mail: [email protected]

:

: , ,

A Predictor-Based Model Reference Adaptive Controller for Aircraft with Center of Gravity Variations

Chan Han1, Lingyu Yang1, Jing Zhang1

1. Beijing University, Beijing 100191 E-mail: [email protected]

Abstract: The center of gravity variations have a direct impact on the control characteristic of the plane, which makes the control system design more complicated. In order to solve this problem, this paper puts forward the predictor-based model reference adaptive controller design method. the core part of this method is composed of three axis nonlinear dynamic inversion controller. Predictor-based model reference adaptive controller is added to the system as adaptive augmentation. System defines two error signals which improve the control accuracy. Simulation results show that this method has a stronger inhibitory effect on uncertainty, it make the system track command signal very well. Key Words: Center of gravity, adaptive, nonlinear, dynamic inversion

[1]

[2]

[3]

1

3079

Page 5: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller

im

[4]

2 2

2 2

2 2

[ ( )( ) ( ) ]

[ ( )( ) ( ) ]

[ ( )( ) ( ) ]

x

y

z

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F m v ru pw pq r xp r y qr p z

F m w pv qu pr q xqr p y p q z

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) ( ) ]) ( )( )) ( )( )) ( )) ( )( )( ) x( )� �( ) xx( )((

) ]))))( ) x( )� �( ) xx( )((

) () ( 2) ( 2) ( 2) () (

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m

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p I q I r I pr Ixy xz xyxy xz xyp I q I r I prI q I r I pr

w qu pvw qu pvqu

v ru pwv ru pwru

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w qu pvw qu pv

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(2)

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x y zI I I

xy xz yzI I I

cg� �� �I (3) [5]

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II

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m

m

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2

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fw

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2u 1u

3.1 [6]

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, ,e a r� � � [7]

3 4 3 3

2 2

( )( ) ( ) ( ) ( )

( )

pqp L t

prq t t M t t

rqr N t

p r

� �

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��rrI I B u (5)

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(6) 1u

3.2

3080

Page 6: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller

� � � � � � 2

ˆ ˆ ˆ u� � � � � � � � �� ˆ� � ��w A A w G G z B B (8)

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( )�g ΔAw+ ΔBu+ ΔGz (10) 1

: f m f m comw = A w + B w (11)

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TT Tt tT Tf fd d" "� �

� � �� �# #x w w w w (12)

(6) (7) (11) (12)

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x r z adu K x+ K r - K z - B u (13)(11)

ˆ� �� �T T -1

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0 0 00 0 0

00 0ˆ0 0 0

m

I

I

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A

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m m� �� � �B B (16)

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Tr m rB = (B + BK ) (20)

� 3 12, Tl

�$%TlB = 0 0 0 I B (21)

ˆˆ � �� �� �

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ˆT -1r mK = B B (23)

(18) g rA rB

r r r r comx = A x + B w (24)[8]

ˆ ˆ �ˆ ˆ �p r r comx = A (x x)+ A x+ B w (25)(25) 12 12�$%pA

(26)

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21 22

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a a (26)

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ˆ1 r

2

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(27)

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2 2 2 e ad

e = A e + B (u - g)e = A e + B (u - g)

(28)

� �� � � �1 0

TTt T

f fd"� �� � �� �

� �#e w w w w (29)

� �� � � �2 0ˆ ˆ

TTt Td"� �� � �� �

� �#e w w w w (30)

� �� �� �

1 2 22I p

0 IA = A = a

-K -K (31)

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eB I� (32) (30) w x (9)

g , , ,adx u r z

T T T T1 2 2 4 adg =W x+W r +W z+W u (33)

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T T1 1 e 2 2 em = e P B + e P B (35)

1 2

3 4 ad

n = xm n = rmn = zm n = u m

(36)

ˆiW in

ˆ ˆˆ ii i i i

i

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n (37)

12 3 3 3 7 3 3 31 2 3 3, , ,� � � �$% $% $% $%W W W W

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2= -Q 1 2 1P P Q 2Q 1Q

2Q (37) " "&

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1e 2e[9]

� �Δ Δ� �2 4

T T -1i i i j j j

i=1 j=1V = e Pe + trace W Θ W (38)

3081

Page 7: Proceedings of the 32nd Chinese Control Conference, July ...iffpc.buaa.edu.cn/Assets/publication/conference/2013-10-2.pdf · A Predicto r-Based Model Reference Adaptive Controller

V(28) (37) [8]

2 4

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2 4

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i i ie Q e (37)�

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3

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7

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5 [1] M. Khammash, L. Zou. Robust Aircraft Pitch-Axis

Control Under Weight and Center of Gravity Uncertainty. Iowa State University. 1999

[2]Xiaoke Yang, Youwu Zhong, Lingyu Yang, Jing Zhang and Gongzhang Shen. Modeling and Attitude Control of Aircraft with Variation in Mass and Center of Gravity[R]. Proceedings of the 8th World on Intelligent Control and Automation. July 6-9 2010

[3] . . . 38

3 . 2012-3 [4] .

[R]. 2012 B25 192-195

[5]Jeffrey A. Ouellette. Flight Dynamics and Maneuver Loads on a Commercial Aircraft with Discrete Source Damage. Blacksburg, Virginia, April 26,2010

[6] . [J].

2009,35 11 :1315-1319 [7]

2005:8-11 [8]E. Lavretsky, R. Gadient, I. Gregory. Predictor-Based

Model Reference Control. AIAA Guidance, Navigation, and Control Conference, Chicago, IL, Aug. 10-13,2009

[9]Stefan F. Campbell, John T. Kaneshigo. A Nonlinear Dynamic Inversion L1 Adaptive Controller for a Generic Transport Model. American Control Conference Marriott Waterfront[R]. 2010

3082