Delay-dependent guaranteed cost control for uncertain systems with state and input delays

作     者：Xu, S. Lam, J. Zou, Y. 

作者机构：Nanjing Univ Sci & Technol Dept Automat Nanjing 210094 Peoples R China Univ Hong Kong Dept Mech Engn Hong Kong Hong Kong Peoples R China 

出 版 物：《IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS》 (IEE Proc Control Theory Appl)

年 卷 期：2006年第153卷第3期

页      面：307-313页

核心收录：

主　　题：COST control INDUSTRIAL costs COST effectiveness INEQUALITIES (Mathematics) LINEAR systems MATRICES 

摘      要：The authors deal with the problem of delay-dependent guaranteed cost control for uncertain linear systems with time-varying delays in both the state and the input. The purpose of this is to design state-feedback controllers such that the resulting closed-loop system is robustly stable, and a specified linear integral-quadratic cost function has an upper bound for all delays in the given intervals. Two types of the time-varying delays are considered. Delay-dependent sufficient conditions for the solvability of the problem are developed in terms of matrix inequalities. By the cone complementary linearisation method, desired state-feedback controllers can be constructed. A numerical example is provided to demonstrate the applicability of the proposed method.