摘要
研究了一类线性多变量系统鲁棒控制器的设计问题,提出了一种基于极点配置和目标函数优化的鲁棒极点配置方法.解决问题的基本思想是,利用极点配置的参数化表示结果,以系统输出的L∞范数作为极点配置的鲁棒性准则,给出鲁棒极点配置的优化命题。通过解这一优化命题确定极点配置问题中的自由参数,从而达到设计鲁棒控制器的目的。
he problem of robust pole assignment has been studied for a class of linear multivariable systems in the paper, and a robust pole assignment algorithm is proposed based on the parametrization of feedback gain matrix and objective functional optimization. The main ideal of the paper is that the feedback gain matrix can be parametrized in terms of a set of free variables, and the variables can be determined by solving the optimization problem under the consideration of L∞ norm of system output as the objective functional to be minimized. As a result, the robust controller is determined.
出处
《控制与决策》
EI
CSCD
北大核心
1995年第3期210-215,共6页
Control and Decision
基金
国家教委博士点专项基金
关键词
连续线性系统
极点配置
鲁棒
极点配置
参数化
linear system, robust pole assignment, criterion function, eigenvalue