一类非线性系统的动态反馈有限时间饱和镇定  

Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback

作　　者：张恒俊[1] 王朝立[1] 陈华[2] 

机构地区：[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

出　　处：《控制理论与应用》2013年第3期355-359,共5页Control Theory & Applications

基　　金：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：本文针对一类非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.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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]