摘要
The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model. The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities (LMIs), and a desired state feedback controller is obtained via convex optimization. An illustrative example is given to demonstrate the effectiveness of the proposed approach.
The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model. The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities （LMIs）, and a desired state feedback controller is obtained via convex optimization. An illustrative example is given to demonstrate the effectiveness of the proposed approach.
出处
《自动化学报》
EI
CSCD
北大核心
2005年第5期808-814,共7页
Acta Automatica Sinica
基金
国家自然科学基金
关键词
成本控制
参数不确定性
离散时间信号
线性矩阵不等式
Discrete-time singular large-scale system, linear matrix inequality （LMI）, parameter uncertainty, guaranteed cost control
作者简介
WO Song-Lin, E-mail： wosonglin2000@yahoo.com.cn, Received his Ph. D. degrcc from Nanjing University of Science and Technology in 2005. His research interests include singular systems and time-delay systems.
SHI Guo-Dong, Professor of Changzhou College of Information Technology. His research interests include singular systems and time-delay systems.
ZOU Yun, Professor of Nanjing University of Science and Technology. His research interests include singular 2D-systems and obstructing control.
