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| Received:February 02, 2006Revised:November 14, 2006 |
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| Robust model-reference control for descriptor linear systems subject to parameter uncertainties |
| Guangren DUAN, Biao ZHANG |
| (Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China;Department of Mathematics, Harbin Institute of Technology, Harbin Heilongjiang 150001, China) |
| Abstract: |
| Robust model-reference control for descriptor linear systems with structural parameter uncertainties is investigated. A sufficient condition for existing a model-reference zero-error asymptotic tracking controller is given. It is shown that the robust model reference control problem can be decomposed into two subproblems: a robust state feedback
stabilization problem for descriptor systems subject to parameter uncertainties and a robust compensation problem. The latter aims to find three coefficient matrices which satisfy four matrix equations and simultaneously minimize the effect of the uncertainties to the tracking error. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, the robust compensation problem is converted into a minimization problem with quadratic cost and linear constraints. A numerical example shows the effect of the proposed approach. |
| Key words: Descriptor linear systems Model-reference control Parameter uncertainties Robust stabilization Robust compensation |
