基于观测器的不确定广义时滞系统保成本控制

Guaranteed Cost Observer-based Control of Singular Time-delay Systems with Uncertainties

讨论了基于观测器的一类不确定广义时滞系统的保成本控制问题,给出了系统保成本控制器的设计方法.控制器的构造使得闭环系统是鲁棒稳定的.利用线性矩阵不等式以及Lyapunov函数方法,给出了鲁棒保成本控制器存在的充分条件以及相应的可保成本指标,并证明了这个条件等价于一组线性矩阵不等式(LM Is)的可解性问题,同时推广了已知的相关结果.最后以算例验证了设计方法的有效性.

The problem of guaranteed cost observer-based controller design for a class of singular systems with state-delay and parameter uncertainties is investigated. The design method of guaranteed cost observer-based controller is given. Sufficient conditions for the existence of guaranteed cost observer-based state feedback control law and corresponding guaranteed cost performance index are obtained. It makes that the closed-loop system is robust stable. In terms of linear matrix inequalities and Lyapunov function, it is shown that these conditions are equivalent to the solvability of some linear matrix inequalities, and some known results are generalized. A numerical example shows the effectiveness of the proposed method.