Dissipative control and filtering of discrete-time singular systems

Zhiguang Feng and James Lam

International Journal of Systems Science, 2016, vol. 47, issue 11, 2532-2542

Abstract: In this paper, the problems of dissipative control and filtering of discrete-time singular systems are investigated. Based on parametrising the solutions of the constraint set, a necessary and sufficient condition is established in terms of strict linear matrix inequality which makes the condition more tractable. By using the system augmentation approach, a static output feedback controller design method is proposed to guarantee that the closed-loop system is admissible and strictly (Q, S, R) dissipative. Then, the result is applied to tackle the reduced-order filtering problem. The effectiveness of the obtained results in this paper is illustrated by numerical examples.

Date: 2016
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DOI: 10.1080/00207721.2014.998751

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