Output-Feedback Tracking Control for Polynomial Fuzzy-Model-Based Control Systems

• Published in: IEEE transactions on industrial electronics (1982) Vol. 60; no. 12; pp. 5830 - 5840
• Main Authors: Lam, H. K., Hongyi Li
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2013; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems; Fuzzy control; Fuzzy logic; Fuzzy tracking control; Lyapunov methods; Mathematical model; Mathematical models; Matlab; Nonlinearity; Numerical stability; output feedback; polynomial fuzzy systems; Polynomials; Stability; Stability analysis; sum of squares; Tracking control; Vectors
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2012.2229679

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.