Tracking control for a class of nonlinear systems in feedback form

被引：0
|
作者：
Yu J. [1 ]
Xu J. [1 ]
Huang Y. [1 ]
机构：
[1] School of Aerospace Engineering, Beijing Institute of Technology, Beijing
来源：
Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2019年 / 45卷 / 07期
关键词：
Feedback; Flight control systems; Lyapunov methods; Nonlinear systems; System stability;
D O I：
10.13700/j.bh.1001-5965.2018.0688
中图分类号：
学科分类号：
摘要：
In order to achieve the control of a class of nonlinear systems in feedback form, the system is studied. First, according to LaSalle's invariance principle, the convergence of a class of autonomous systems is proved. The error function is introduced, and the Lyapunov function of the error function is used to find the controller which makes the error function asymptotically stable. Then, according to the lemma, the trajectories tracked by the system states are all converged, so that the system states are bounded and the output of the system converges to input. The condition and the proof of the stability of the closed-loop system are given. Finally, an example of longitudinal dynamics of an fixed-wing aircraft flight control system is presented, and the controller is designed according to the proposed method. The simulation is verified under the Simulink module of MATLAB. The results show that, for step signals and sinusoidal signals, the proposed controller can enable the pitch angle of aircraft to quickly converge the tracking command. © 2019, Editorial Board of JBUAA. All right reserved.
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页码：1444 / 1450
页数：6
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