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Robust $H_\infty$ Output Feedback Control of Descriptor Systems with Parameter Uncertainty and Time dDelay  

김종해 (선문대학교 전자정보통신공학부)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.41, no.3, 2004 , pp. 9-16 More about this Journal
Abstract
This paper provides an observer-based Η$\infty$ output feedback controller design method for descriptor systems with time-varying delay by just one LMI(linear matrix inequality) condition. The sufficient condition for the existence of controller and the controller design method are presented by perfect LMI approach which can be solved efficiently by convex optimization. The design procedure involves solving an LMI. Since the obtained condition can be expressed as an LMI form all variables including feedback gain and observer gain can be calculated simultaneously by Schur complement changes of variables, and singular value decomposition. Moreover, The proposed controller design algorithm can be extended to the observer-based robust Η$\infty$ output feedback controller design method for descriptor systems with parameter uncertainty and time delay. An example is given to illustrate the results.
Keywords
Descriptor systems; robust $H_\infty$ output feedback control; observer-based controller; time delay; parameter uncertainty; LMI;
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