Abstract This paper deals with the robust passivity synthesis problem for a class of uncertain linear systems with time-varying delay in state and control input. The parameter uncertainties are norm-bounded and allowed to appear in all matrices of the model. The problem aims at designing an observer-based dynamic output-feedback controller that robustly stabilizes the uncertain systems and achieves the strict passivity of closed-loop systems for all admissible uncertainties. By converting the problem at hand into a class of strictly passive control problem for a parameterized system, the explicit solution is established and expressed in terms of a linear matrix inequality. A numerical example is provided to demonstrate the validity of the proposed approach.
Received: 24 May 2005
Revised: 26 August 2005
Accepted manuscript online:
Li Gui-Fang (李桂芳), Li Hui-Ying (李会莹), Yang Cheng-Wu (杨成梧) Observer-based passive control for uncertain linear systems with delay in state and control input 2005 Chinese Physics 14 2379
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