Fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties: Model reference approach

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Abstract

This paper presents the fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties. The nonlinear plant tackled in this paper is an nth-order nonlinear system with n inputs. If the input matrix B inside the fuzzy plant model is invertible, a fuzzy controller can be designed such that the states of the closed-loop system will follow those of a user-defined stable reference model despite the presence of parameter uncertainties. A numerical example will be given to show the design procedures and the merits of the proposed fuzzy controller.

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Lam, H. K., Leung, F. H. F., & Tam, P. K. S. (2001). Fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties: Model reference approach. International Journal of Approximate Reasoning, 26(2), 129–144. https://doi.org/10.1016/S0888-613X(00)00068-2

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