Abstract
In this paper robust reduced-order observer-based H1 controller design for uncertain descriptor systems is investigated. Firstly, based on strict linear matrix inequalities, a su-cient condition for H1 control of uncertain descriptor systems is proposed to design the state feedback H1 control law. Then the control gain is used to design the reduced- order observer. Based on an explicit general solution to a class of generalized Sylvester equations, a parameterized design method is presented with the constraint of H1 performance.
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