关键词: 大系统, 时滞系统, 不确定性, 鲁棒控制, 线性矩阵不等式(LMIs)

Abstract:

This paper deals with a class of large-scale systems with input delay and parametric uncertainties. The stability of this class of systems is considered. Using the so-called reduction method, all subsystems are transferred. Then, a feedback controller design technique for decentralized stabilizat ion is provided. Unlike existing results, the controller ut ilizes the information on the size of the delay and employs the feedback of the past control history as well as the current state; thus, performance is improved and conservativeness is reduced significantly. With Lyapunov′s direct method, a sufficient condit ion for the stability is derived in terms of linear matrix inequalities (LMIs) . Hence, all results can be solved efficient ly. Finally, a numerical example is provided to illustrate the proposed method.

Key words: large-scale systems, delay system, uncertainty, robust control, LMIs