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Dissipative control for linear systems by static output feedback

Journal Article


Abstract


  • In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples. © 2013 Taylor & Francis Group, LLC.

Publication Date


  • 2013

Citation


  • Feng, Z., Lam, J., & Shu, Z. (2013). Dissipative control for linear systems by static output feedback. International Journal of Systems Science, 44(8), 1566-1576. doi:10.1080/00207721.2012.659698

Scopus Eid


  • 2-s2.0-84878703674

Web Of Science Accession Number


Start Page


  • 1566

End Page


  • 1576

Volume


  • 44

Issue


  • 8

Abstract


  • In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples. © 2013 Taylor & Francis Group, LLC.

Publication Date


  • 2013

Citation


  • Feng, Z., Lam, J., & Shu, Z. (2013). Dissipative control for linear systems by static output feedback. International Journal of Systems Science, 44(8), 1566-1576. doi:10.1080/00207721.2012.659698

Scopus Eid


  • 2-s2.0-84878703674

Web Of Science Accession Number


Start Page


  • 1566

End Page


  • 1576

Volume


  • 44

Issue


  • 8