不确定动态时滞系统的鲁棒控制

On the Robust Controllers of Uncertain Dynamic Time-Delay Systems

研究了满足秩─１条件及广义匹配条件的线性不确定时滞系统的鲁棒控制器设计问题。基于Ｌｙａｐｕｎｏｖ方程，给出了控制项矩阵有不确定性的时滞系统的控制器设计方法，改进了文［７］的结果。基于代数Ｒｉｃｃａｔｉ方程．对于广义匹配及不匹配系统，给出鲁棒控制器设计的充分条件．算例说明该方法能使不确定性范围扩大，且更加实用有效。

The design problems of a robust controller are considered for linear uncertain timedelay systems which satisfy the rank-1 condition or generalized matching condition respectively. Based on Lyapunov Equation, an approach of controller design is presented for the system with control input matrix uncertainty. And therefore the method of paper[7] is improved. By using the algebraic Riccati equation,a sufficient condition of robust controller design is proposed for the generalized matching and mismatching system respectively. Numerical examples illustrate the uncertainty widening and effectiveness of the method.