具有状态和控制时滞的线性不确定系统的鲁棒非脆弱H_∞控制

Robust and Non-fragile H_∞ Control for Linear Uncertain Time-delay Systems with Time-varying Delayed State and Control

针对同时具有状态和控制时滞的不确定线性时滞系统,运用线性矩阵不等式(LM I)方法,给出了鲁棒非脆弱H∞状态反馈控制方案.该方案既能使闭环系统稳定,又能保证系统具有一定的H∞性能.实例表明了该设计方法的有效性.

This paper deals with the problem of robust and non-fragile H∞ control via state feedback for linear uncertain time-delay systems based on a method of linear matrix inequality （LMI）. The systems under consideration are linear system with norm-bounded parameter uncertainties and time-varying delayed states and controls. The designed controller can stabilize the closed-loop systems and guarantee a prescribed H∞ performance. A numerical example is provided to demonstrate the validity of the proposed design approach.