Robust variance-constrained control for a class of continuous time-delay systems with parameter uncertainties |
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Authors: | Kailiang Yang Jun Guo Lu |
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Institution: | aDepartment of Automation, Shanghai Jiaotong University, 800 Dong Chuan Road, Shanghai 200240, PR China |
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Abstract: | In this paper, we consider the robust variance-constrained control problem for uncertain linear continuous time-delay systems subjected to parameter uncertainties. The purpose of this multi-objective control problem is to design a static state feedback controller that does not depend on the parameter uncertainties such that the resulting closed-loop system is asymptotically stable and the steady-state variance of each state is not more than the individual pre-specified value simultaneously. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. A parameterized representation of the desired controllers is presented in terms of the feasible solutions to a certain linear matrix inequality system. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed results. |
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