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一类非线性系统的动态反馈有限时间饱和镇定
引用本文:张恒俊,王朝立,陈华. 一类非线性系统的动态反馈有限时间饱和镇定[J]. 控制理论与应用, 2013, 30(3): 355-359
作者姓名:张恒俊  王朝立  陈华
作者单位:1. 上海理工大学控制科学与工程系,上海,200093
2. 河海大学常州校区数理部,江苏常州,213022
基金项目:国家自然科学基金资助项目(60874002); 上海市教委重点科技创新项目(13ZZ115); 上海市重点学科项目(S30501); 河海大学中央高校基本科研业务费资助项目(2010B23514).
摘    要:本文针对一类作线性系统在输入饱和下的有限时间动态反馈镇定问题进行了讨论,提出了一种切换控制策略.通过有限次切换将复杂非线性系统分成不同的简单子系统,使得在每一步切换控制中,状态收敛到所给位置或平衡位置的时间是有限的,且每步的控制器均满足饱和条件.最后给出了一个例子并设计了其有限时间饱和镇定控制器,仿真实验验证了所设计控制器的有效性.

关 键 词:非线性控制  有限时间控制  有限时间稳定性  饱和控制
收稿时间:2012-06-02
修稿时间:2012-10-24

Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback
ZHANG Heng-jun,WANG Chao-li and CHEN Hua. Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback[J]. Control Theory & Applications, 2013, 30(3): 355-359
Authors:ZHANG Heng-jun  WANG Chao-li  CHEN Hua
Affiliation:Control Science and Engineering Department, University of Shanghai for Science and Technology,Control Science and Engineering Department, University of Shanghai for Science and Technology,Mathematics and Physics Department, Hohai University, Changzhou Campus
Abstract:The finite-time dynamic feedback stabilization problem is considered for a class of nonlinear systems under the input saturation, and a switch control strategy is proposed. It can divide the complex nonlinear systems into different simple subsystems by a finite number of switching in order to make the states in every step converge to a prespecified point or the equilibrium point in a finite time, and the saturation property is satisfied in every step by the controllers as required as design. Finally, a specific example of the system and a finite-time saturated controller are given; and the effectiveness of the proposed control approach is validated by the simulation results.
Keywords:nonlinear control   finite-time control   finite-time stability   saturated control
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