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

J. D. Chen
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J. D. Chen: National Kinmen Institute of Technology

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 3, No 5, 383-403

Abstract: 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.

Keywords: Robust mixed H 2/H ∞ controllers; discrete; distributed; and input time-varying delays; Lyapunov-Krasovskii functionals; delay-dependent criterion (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9151-3

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