Information Sciences: an International Journal
Mathematics and Computers in Simulation
Information Sciences: an International Journal
Multiobjective control for T-S fuzzy singularly perturbed systems
IEEE Transactions on Fuzzy Systems
H∞ control for fuzzy singularly perturbed systems
Fuzzy Sets and Systems
A general and formal methodology to design stable nonlinear fuzzy control systems
IEEE Transactions on Fuzzy Systems
H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach
Automatica (Journal of IFAC)
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This paper considers the problem of designing an H∞ fuzzy controller with pole placement constraints for a class of nonlinear singularly perturbed systems. Based on a linear matrix inequality (LMI) approach, we develop an H∞ fuzzy controller that guarantees 1) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and 2) the closed-loop poles of each local system to be within a pre-specified LMI stability region. In order to alleviate the ill-conditioned LMIs resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation, ε. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.