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针对一类具有乘性噪声和参数不确定性的Markov跳变参数系统,研究使得闭环系统的稳态状态方差小于某个给定的上界,同时满足一定H∞性能的状态反馈鲁棒方差控制器设计问题.运用线性矩阵不等式(LMI)方法,对系统进行了方差分析,给出并证明了控制器存在的条件,进而用一组线性矩阵不等式的可行解给出了控制器的一个参数化表示.最后的仿真结果验证了该方法的有效性.
Aimed at a class of Markov transition parameter systems with multiplicative noise and parameter uncertainty, the steady-state state variance of the closed-loop system is found to be less than a given upper bound while satisfying some H∞ performance state feedback robust variance control The problem of the design of the controller is solved by using the linear matrix inequality (LMI) method, the variance analysis of the system is given, the existence conditions of the controller are given and proved, and then a parameterization of the controller is given by a set of feasible solutions of the linear matrix inequalities The final simulation results verify the effectiveness of this method.