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LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays

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  • J. D. Chen

    (National Kinmen Institute of Technology)

Abstract

The design of a robust mixed H 2/H ∞ controller for a class of uncertain neutral systems with discrete, distributed, and input time-varying delays is considered. More precisely, the proposed robust mixed H 2/H ∞ controller minimizes an upper bound of the H 2 performance measure, while guaranteeing an H ∞ norm bound constraint. Based on the Lyapunov-Krasovskii functional theory, a delay-dependent criterion is derived for the existence of a desired mixed H 2/H ∞ controller, which can be constructed easily via feasible linear matrix inequalities (LMIs). Furthermore, a convex optimization problem satisfying some LMI constraints is formulated to obtain a suboptimal robust mixed H 2/H ∞ controller achieving the minimization of an upper bound of the closed-loop H 2 performance measure. Finally, a numerical example is illustrated to show the usefulness of the obtained design method.

Suggested Citation

  • J. D. Chen, 2006. "LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 131(3), pages 383-403, December.
    • Handle: RePEc:spr:joptap:v:131:y:2006:i:3:d:10.1007_s10957-006-9151-3
    DOI: 10.1007/s10957-006-9151-3
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    References listed on IDEAS

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    1. J. D. Chen, 2005. "LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 553-570, September.
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    Cited by:

    1. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

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