Optimal guaranteed cost control for linear uncertain system with pole and H∞ index constraint

Authors:
Xianglan Han;Gang Zhang
Affiliations:
School of Information Science and Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo, China;The Faculty of Maritime, Ningbo University, Ningbo, China
Venue:
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part III
Year:
2010

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Abstract

This paper addresses the problem of optimal guaranteed cost reliable control for linear uncertain systems with regional pole and H∞ disturbance attenuation performance indices constraint. Based on a more practical and general model of continuous actuator gain failures, the reliable controller is designed to guarantee the closed-loop system satisfying the pre-specified regional pole index, H∞ norm-bound constraint and having the optimal quadratic cost performance simultaneously. The consistency of the performance indices mentioned earlier is also set up for fault-tolerant control. Necessary and sufficient conditions for optimizing guaranteed cost controller design for linear uncertain systems are also given in terms of LMIs. The simulation example shows the effectiveness of the proposed method.