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Robust H∞ control for discrete singular systems with time-varying delays and uncertainties

Conference Paper


Abstract


  • This paper concentrates on the H∞ control problem of discrete singular systems with time-varying delay and norm-bounded uncertainties. Firstly, a novel bounded real lemma is established for discrete-Time singular systems with time-varying delay. Then, with Lyapunov function, an improved reciprocally convex combination approach and linear matrix inequality (LMI) technique, a sufficient criterion for the existence of the H∞ state feedback controller is given in the form of matrix inequalities with nonlinear constraints. The cone complementarity linearization (CCL) algorithm is adopted to solve the nonlinear constraints. Finally, a numerical example is presented to illustrate the advantage of the proposed approach.

Publication Date


  • 2016

Citation


  • Li, W., Feng, Z., & Mu, Z. (2016). Robust H∞ control for discrete singular systems with time-varying delays and uncertainties. In Proceedings - 2015 Chinese Automation Congress, CAC 2015 (pp. 2110-2115). doi:10.1109/CAC.2015.7382853

Scopus Eid


  • 2-s2.0-84966670226

Web Of Science Accession Number


Start Page


  • 2110

End Page


  • 2115

Abstract


  • This paper concentrates on the H∞ control problem of discrete singular systems with time-varying delay and norm-bounded uncertainties. Firstly, a novel bounded real lemma is established for discrete-Time singular systems with time-varying delay. Then, with Lyapunov function, an improved reciprocally convex combination approach and linear matrix inequality (LMI) technique, a sufficient criterion for the existence of the H∞ state feedback controller is given in the form of matrix inequalities with nonlinear constraints. The cone complementarity linearization (CCL) algorithm is adopted to solve the nonlinear constraints. Finally, a numerical example is presented to illustrate the advantage of the proposed approach.

Publication Date


  • 2016

Citation


  • Li, W., Feng, Z., & Mu, Z. (2016). Robust H∞ control for discrete singular systems with time-varying delays and uncertainties. In Proceedings - 2015 Chinese Automation Congress, CAC 2015 (pp. 2110-2115). doi:10.1109/CAC.2015.7382853

Scopus Eid


  • 2-s2.0-84966670226

Web Of Science Accession Number


Start Page


  • 2110

End Page


  • 2115