An adaptive output tracking control scheme for T-S fuzzy systems

This paper develops a new adaptive feedback linearization based control scheme for T-S fuzzy systems in general non-canonical forms, which provides an effective control method to control non-canonical form nonlinear systems with large parameter uncertainties. Unlike commonly studied canonical form nonlinear systems whose T-S fuzzy approximation models have explicit relative degree structures which can be directly used to derive parametrized controllers for adaptation, non-canonical form nonlinear systems usually do not have explicit relative degrees as their T-S fuzzy system models are also in non-canonical forms. In order to achieve adaptive output tracking, the system dynamics of non-canonical form T-S fuzzy system models still needs to be parametrized. This paper extends the feedback linearization technique, commonly used for output tracking control of general nonlinear systems, to non-canonical form T-S fuzzy systems, and develops an adaptive feedback linearization based control method which guarantees closed-loop stability and asymptotic output tracking for T-S fuzzy system models. An illustrative example is presented with simulation results to demonstrate the control design procedure, and to verify the effectiveness of such a new design method.