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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 switching systems exist widely in reality. A parametric controller design method is proposed for a class of switched nonlinear systems. The parameterized controller designed by this method is simple in form and does not change the position of the equilibrium point of the original system. The parameters of the controller can be fully solved. Compared with the existing methods, the controller and its parameters do not need to be changed when the system is switched. In a parametric controller design, a switched R (o | ¨) ssler system is taken as an example to derive and analyze this method. The parameters of the controller are obtained by Hurwitz criterion and column algebraic division Value range. Simulation results show the effectiveness of this method.