This paper focuses on a class of linear time-delay systems. We are concerned with the design of dissipative static state feedback and dynamic output feedback controllers such that the closed-loop system is quadratically stable and strictly (Q,S,R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative controllers are obtained by using a linear matrix inequality (LMI) approach. Furthermore, we provide a procedure of constructing such controllers from the solutions of LMIs. It is shown that the solvability of dissipative controller design problem is implied by the feasibility of LMIs. The main result of this paper unify the existing results on H∞ control and passive control for linear time-delay systems.%研究了一类线性时滞系统的二次耗散控制问题,基于线性矩阵不等式(LMI)方法导出了耗散控制器存在的充分条件.通过线性矩阵不等式的可行解构造出耗散态状态反馈和动态输出反馈控制律,相应的闭环系统是二次稳定和严格(Q,S,R)耗散的.本文的主要贡献是统一了线性时滞系统现有的H∞控制和无源控制结果.
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