Fuzzy H∞ output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach

Authors:
W. Assawinchaichote;Sing Kiong Nguang
Affiliations:
Dept. of Electron. & Telecommun. Eng., King Mongkut's Univ. of Technol., Bangkok, Thailand;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2006

Citing 0
Cited 6

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Abstract

This paper examines the problem of designing an H∞ output feedback controller with pole placement constraints for singular perturbed Takagi-Sugeno (TS) fuzzy models. We propose a fuzzy H∞ output feedback controller that not only guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, but also ensures closed-loop poles of each subsystem are in a prespecified linear matrix inequality (LMI) region. In order to alleviate the numerical stiffness caused by the singular perturbation ε, the design technique is formulated in terms of a family of ε-independent linear matrix inequalities. The proposed approach can be applied both standard and nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.