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This paper presents the output-feedback tracking control of the polynomial fuzzy-model-based control system which consists of a polynomial fuzzy model representing the nonlinear plant and an output-feedback polynomial fuzzy controller connected in a closed loop. The output-feedback polynomial fuzzy controller is employed to drive the system states of the nonlinear plant to follow those of a stable reference model subject to an H_ performance. Based on the Lyapunov stability theory, sum-of-squares-based stability conditions are obtained to determine the system stability and facilitate the control synthesis. A feasible solution can be found numerically using the third-party Matlab toolbox SOSTOOLS. Simulation results are provided to demonstrate the merits of the proposed control approach.
Lam et al. (2012) studied this question.