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Development of reliable $H_\infty$ controller design algorithm for singular systems with failures  

김종해 (선문대학교 전자정보통신공학부)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.41, no.4, 2004 , pp. 29-37 More about this Journal
Abstract
This paper provides a reliable H$_{\infty}$ state feedback controller design method for delayed singular systems with actuator failures occurred within the prescribed subset. The sufficient condition for the existence of a reliable H$_{\infty}$ controller and the controller design method are presented by linear matrix inequality(LMI), singular value decomposition, Schur complements, and changes of variables. The proposed controller guarantees not only asymptotic stability but also H$_{\infty}$ norm bound in spite of existence of actuator failures. Since the obtained sufficient condition can be expressed as an LMI fen all variables can be calculated simultaneously. Moreover, the controller design method can be extended to the problem of robust reliable H$_{\infty}$ controller design method for singular systems with parameter uncertainties, time-varying delay, and actuator failures. A numerical example is given to illustrate the validity of the result.
Keywords
Reliable $H_\infty$ control; singular systems; actuator failure; linear matrix inequality;
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