一类非线性切换系统的参数化控制器设计方法

A Parametric Controller Design Method for a Class of Nonlinear Switched Systems

非线性切换系统在现实中广泛存在,针对一类参数切换的非线性切换系统提出了一种参数化控制器设计方法。该方法设计的参数化控制器形式简单,不改变原系统的平衡点位置,控制器的参数可以得到充分求解,与现有的方法相比,当系统切换时控制器及其参数不需要改变。在参数化控制器设计中,以一个切换的R(o|¨)ssler系统为例,对该方法进行了推导和分析,并通过Hurwitz判据和柱形代数剖分技术得到控制器参数的取值范围。仿真结果证明了该方法的有效性。

Nonlinear switched systems widely exist in reality. In this paper, a parametric controller design method is proposed for a class of nonlinear switched systems. The form of the parametric controller designed by the proposed method is simple, the parameters of the controller can be fully solved and the controller does not change the position of the equilibrium point of the system. Compared with the existing methods, the controller and its parameters need not be changed, when the system switches. In the paper, a switched Rossler system is used as an example to demonstrate the design process and analyze the proposed method. The controller parameters are obtained by using the Hurwitz criterion and cylindrical algebraic decomposition （CAD） algorithm. The simulation results prove the effectiveness of the proposed method.