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Improved stability and stabilization results for discrete singular delay systems via delay partitioning

Conference Paper


Abstract


  • In this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with both delay and parameter uncertainties. Moreover, without the assumption that the considered systems being regular and causal, robust controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. These results are illustrated, via a few numerical examples, to be much less conservative than most of the existing results in the literature. ©2009 IEEE.

Publication Date


  • 2009

Citation


  • Feng, Z., Lam, J., Gao, H., & Du, B. (2009). Improved stability and stabilization results for discrete singular delay systems via delay partitioning. In Proceedings of the IEEE Conference on Decision and Control (pp. 7210-7215). doi:10.1109/CDC.2009.5399472

Scopus Eid


  • 2-s2.0-77950838104

Web Of Science Accession Number


Start Page


  • 7210

End Page


  • 7215

Abstract


  • In this paper, the problems of delay-dependent robust stability analysis and robust stabilization are investigated for uncertain discrete-time singular systems with state delay. First, by making use of the delay partitioning technique, a new delay-dependent criterion is given to ensure the nominal system to be regular, causal and stable. This new criterion is further extended to singular systems with both delay and parameter uncertainties. Moreover, without the assumption that the considered systems being regular and causal, robust controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. These results are illustrated, via a few numerical examples, to be much less conservative than most of the existing results in the literature. ©2009 IEEE.

Publication Date


  • 2009

Citation


  • Feng, Z., Lam, J., Gao, H., & Du, B. (2009). Improved stability and stabilization results for discrete singular delay systems via delay partitioning. In Proceedings of the IEEE Conference on Decision and Control (pp. 7210-7215). doi:10.1109/CDC.2009.5399472

Scopus Eid


  • 2-s2.0-77950838104

Web Of Science Accession Number


Start Page


  • 7210

End Page


  • 7215