Singular perturbation theory is found to be a good approach to obtain a reduced order model in large-scale systems which suffer from big dimension and ill conditions for its state matrix. This article presents the use of a single fuzzy sliding mode controller designed for the slow component of a singularly perturbed system. Choosing the sliding surface parameter for a sliding mode controller in this case is a challenging problem. A fuzzy logic algorithm is used to obtain a nonlinear sliding surface to obtain better-closed loop performance. The validity of the proposed approach is verified by example.

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NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies
Department of Systems and Computer Engineering

ElShabrawy, A. (Ayman), & Schwartz, H.M. (2004). Fuzzy sliding mode control for a singularly perturbed systems. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS (pp. 238–241).