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Robust variance-constrained control for a class of continuous time-delay systems with parameter uncertainties

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  • Yang, Kailiang
  • Lu, Jun Guo

Abstract

In this paper, we consider the robust variance-constrained control problem for uncertain linear continuous time-delay systems subjected to parameter uncertainties. The purpose of this multi-objective control problem is to design a static state feedback controller that does not depend on the parameter uncertainties such that the resulting closed-loop system is asymptotically stable and the steady-state variance of each state is not more than the individual pre-specified value simultaneously. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. A parameterized representation of the desired controllers is presented in terms of the feasible solutions to a certain linear matrix inequality system. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed results.

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  • Yang, Kailiang & Lu, Jun Guo, 2009. "Robust variance-constrained control for a class of continuous time-delay systems with parameter uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2179-2187.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2179-2187
    DOI: 10.1016/j.chaos.2007.06.069
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    Cited by:

    1. Ravi Kumar, R. & Chong, Kil To, 2012. "The stability of distributed neutral delay differential systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 416-425.

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