不确定离散广义时滞系统的鲁棒H_2控制

Robust H_2 Control for Discrete Descriptor Time-delay Systems with Norm-bounded Parameter Uncertainties

基于线性矩阵不等式法讨论了不确定离散广义时滞系统的鲁棒H2控制问题.目的是设计一个可容许的状态反馈控制律,对系统所有容许的不确定参数,使得闭环系统是容许的且满足所要求H2性能,即闭环系统的H2范数小于一个给定的正数γ.在分析的基础上,给出了该问题可解的一个矩阵不等式的充分条件及控制器的一个代数表达式.

In terms of linear matrix inequality approach, the problem of robust H2 control is discussed for discrete descriptor time - delay systems with norm - bounded parameter uncertainties. A sufficient condition was presented for the systems to satisfy the robust H2 performance for all admissible uncertainties. The resulting closed - loop system is admissible and satisfies the robust H2 performance by designing state feedback controller.