抄録
This paper considers a synthesis problem of output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. We first present a memory observer-based stabilizing output feedback controllers for linear time-delay systems. Based on this result, we derive an existence condition and an explicit formula of memoryless/memory observer-based output feedback controllers, which guarantee the internal stability of the closed loop systems and a prescribed level of L2 gain of closed loop systems. Next, we introduce a technique to reduce conditions for synthesis in the form of infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed output feedback controllers by numerical case studies.
