H1 control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach
نویسندگان
چکیده
This paper addresses the H1 control problem via slow state variables feedback for discretetime fuzzy singularly perturbed systems. At first, a method of evaluating the upper bound of singular perturbation parameter with meeting a prescribed H1 performance bound requirement is given. Subsequently, two methods for designing H1 controllers via slow state variables feedback are presented in terms of solutions to a set of linear matrix inequalities (LMIs). In particular, one of them can be used to improve the upper bound of the singular perturbation parameter . Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. 2009 Elsevier Inc. All rights reserved.
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