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Dissipative control and filtering of discrete-time singular systems

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  • Zhiguang Feng
  • James Lam

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.

Suggested Citation

  • Zhiguang Feng & James Lam, 2016. "Dissipative control and filtering of discrete-time singular systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2532-2542, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2532-2542
    DOI: 10.1080/00207721.2014.998751
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    Cited by:

    1. Haghighi, Payam & Tavassoli, Babak & Farhadi, Alireza, 2020. "A practical approach to networked control design for robust H∞ performance in the presence of uncertainties in both communication and system," Applied Mathematics and Computation, Elsevier, vol. 381(C).

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