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Dissipative control and filtering of discrete-time singular systems

Journal Article


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. 2014 Taylor & Francis.

Publication Date


  • 2016

Citation


  • Feng, Z., & Lam, J. (2016). Dissipative control and filtering of discrete-time singular systems. International Journal of Systems Science, 47(11), 2532-2542. doi:10.1080/00207721.2014.998751

Scopus Eid


  • 2-s2.0-84922359430

Web Of Science Accession Number


Start Page


  • 2532

End Page


  • 2542

Volume


  • 47

Issue


  • 11

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. 2014 Taylor & Francis.

Publication Date


  • 2016

Citation


  • Feng, Z., & Lam, J. (2016). Dissipative control and filtering of discrete-time singular systems. International Journal of Systems Science, 47(11), 2532-2542. doi:10.1080/00207721.2014.998751

Scopus Eid


  • 2-s2.0-84922359430

Web Of Science Accession Number


Start Page


  • 2532

End Page


  • 2542

Volume


  • 47

Issue


  • 11