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

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...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2013-12, Vol.60 (12), p.5830-5840
Main Authors: Lam, H. K., Hongyi Li
Format: Article
Language:English
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
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Summary: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.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2012.2229679