Study of Airship Attitude Tracking System

WANG Xiao-liang; SHAN Xue-xiong

Volume 27 Issue 7

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(7): 805-811

WANG Xiao-liang, SHAN Xue-xiong. Study of Airship Attitude Tracking System[J]. Applied Mathematics and Mechanics, 2006, 27(7): 805-811.

Citation:

WANG Xiao-liang, SHAN Xue-xiong. Study of Airship Attitude Tracking System[J]. Applied Mathematics and Mechanics, 2006, 27(7): 805-811.

Citation:

WANG Xiao-liang, SHAN Xue-xiong. Study of Airship Attitude Tracking System[J]. Applied Mathematics and Mechanics, 2006, 27(7): 805-811.

PDF( 1793 KB)

Study of Airship Attitude Tracking System

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received Date: 2004-03-13
Rev Recd Date: 2006-03-01
Publish Date: 2006-07-15

Abstract

Abstract

The attitude tracking control problem for an airship with parameter uncertainties and external disturbances was considered. The mathematical model of the airship attitude is a multi-input multi-output uncertain nonlinear system. Based on the characteristics of this system, a design method of robust output tracking controllers was adopted based on the upper-bounds of the uncertainties. Using the input/ output feedback linearization approach and Liapunov method, a control law was designed, which guarantees that the system output exponentially tracks the given desired output. The controller is easy to compute and complement. Simulation results show that, in the closed-loop system, precise attitude control is accomplished in spite of the uncertainties and external disturbances in the system
- airship,
- uncertain nonlinear system,
- feedback linearization,
- simulation

FullText(HTML)

References(8)

References

[1]	OUYANG Jin,QU Wei-dong,XI YU-geng.Stratospheric verifying airship modeling and analysis[J].Journal of Shanghai Jiaotong University,2003,37(6):956—960.
[2]	Segio B,Varella Gomes,Josue Jr G Romos.Airship dynamic modeling for autonomous operation[A].In:Proceedings of the 1998 IEEE International Conference on Robotics and Automation[C].Leuven:IEEE,1998,3462—3467.
[3]	Isidori, Alberto.Nonlinear Control Systems[M].2nd.New York:Springer Press,1989.
[4]	XIA Xiao-hua,GAO Wei-bing.Nonlinear Control Systems and Decoupling[M].Beijing: Science Press, 1997.
[5]	Huijberts H J C,Moog C H,Pothin R.Input-output decoupling of nonlinear systems by static measurement feedback[J].Systems and Control Letters,2000,39(2):109—114. doi: 10.1016/S0167-6911(99)00095-X
[6]	李琳琳,杨国军,赵长安.卫星姿态跟踪系统的鲁棒控制器设计[J].航空学报,2001,14(2):94—99.
[7]	Sun Y.Global exponential stabilization for a class of uncertain nonlinear systems with control constraint[J].IEEE Trans on AC,1998,43(5):674—677. doi: 10.1109/9.668833
[8]	Behtash S. Robust output tracking for non-linear systems[J].International Journal of Control,1990,51(6):1381—1407. doi: 10.1080/00207179008934141

Relative Articles

[1]	GONG Chikun, RU Qingyang, YUAN Lipeng. Adaptive Constrained Control of Unknown Strict Feedback Nonlinear Systems With Dead Zone Input[J]. Applied Mathematics and Mechanics, 2022, 43(12): 1402-1411. doi: 10.21656/1000-0887.430081
[2]	ZHANG Yan, LI Fanru, LI Wei, LIU Zuojun. Dynamic Analysis and Simulation of the Lower Extremity Exoskeleton Based on Human-Machine Interaction[J]. Applied Mathematics and Mechanics, 2019, 40(7): 780-790. doi: 10.21656/1000-0887.390212
[3]	LIN Xian-wu, LAN Wei-yao, LI Zhi-bin, LI He. The Integral Form Fluid Momentum Theorem on Time-Varying Systems and Its Application to Aerodynamic Force Coefficient Analysis[J]. Applied Mathematics and Mechanics, 2016, 37(6): 551-566. doi: 10.3879/j.issn.1000-0887.2016.06.001
[4]	FANG Ya-ling, SHI Zhong-ke. Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model[J]. Applied Mathematics and Mechanics, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003
[5]	JIANG Xin, PENG Hai-jun, ZHANG Sheng. Symplectic Conservative Approach for Solving Nonlinear Closed-Loop Feedback Control Problems Based on Quasilinearization Method[J]. Applied Mathematics and Mechanics, 2013, 34(8): 795-806. doi: 10.3879/j.issn.1000-0887.2013.08.003
[6]	Mohammad Pourmahmood Aghababa, Hasan Pourmahmood Aghababa. Finite-Time Stabilization of Uncertain Non-Autonomous Chaotic Gyroscopes With Nonlinear Inputs[J]. Applied Mathematics and Mechanics, 2012, 33(2): 153-163. doi: 10.3879/j.issn.1000-0887.2012.02.002
[7]	SUN Kai, XIE Guang-ming. Analysis and Control of a Class of Uncertain Linear Periodic Discrete-Time Systems[J]. Applied Mathematics and Mechanics, 2009, 30(4): 443-456.
[8]	JIANG Ming-hui, SHEN Yi, LIAO Xiao-xin. Robust Stability of Uncertain Neutral Linear Stochastic Differential Delay Systems[J]. Applied Mathematics and Mechanics, 2007, 28(6): 741-748.
[9]	XU Zi-xiang, ZHOU De-yun, DENG Zi-chen. Exact Linearization Based Multiple-Subspace Iterative Resolution to Affine Nonlinear Control System[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1457-1463.
[10]	MU Xiao-wu, GUO Xiao-li, CHENG Gui-fang. Adaptive H-infinity Control of a Class of Uncertain Nonlinear Systems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1056-1064.
[11]	CAI Zi-li, QU Wei-dong, XI Yu-geng. Dynamic Modeling for Airship Equipped With Ballonets and Ballast[J]. Applied Mathematics and Mechanics, 2005, 26(8): 979-987.
[12]	YU Yong-guang, ZHANG Suo-chun. Controlling Lü-System Using Partial Linearization[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1313-1318.
[13]	ZHU Wen-hao, DAI Hui, ZHONG Wei-fang. Linearized Inverse Scattering for Elastic Parameters in a Half-Space With Reflection Date[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1081-1086.
[14]	Li Yongkun. Linearized Oscillations for Autonomous Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(7): 766-770.
[15]	Chen Liqun, Cheng Changjun. Controlling Chaotic Oscillations of Viscoelastic Plates by the Linearization via Output Feedback[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1229-1234.
[16]	Chen Liqun, Lin Yanzhu. Control of the Lorenz Chaos by the Exact Linearization[J]. Applied Mathematics and Mechanics, 1998, 19(1): 62-69.
[17]	Zhao Lei, Chen Qiu. An Equivalent Nonlinearization Method for Analysing Response of Nonlinear Systems to Random Excitations[J]. Applied Mathematics and Mechanics, 1997, 18(6): 513-521.
[18]	Mu Xiaowu, Zhang Huaizhou. Neural Network-Based Adaptive Control of a Class of Uncertain Nonlinear System[J]. Applied Mathematics and Mechanics, 1997, 18(1): 85-89.
[19]	Chen Songlin, Zhu Zuci. Robust Control via State Feedback for a Class of Uncertain Bilinear Systems[J]. Applied Mathematics and Mechanics, 1996, 17(2): 175-179.
[20]	Xiong Hui-er. A Linearized and Unified Yield Criterion of Metals and Its Application[J]. Applied Mathematics and Mechanics, 1994, 15(5): 457-461.