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摘要
In terms of the fuzzy Lyapunov method, this work proposes stability conditions for fuzzy logic control (FLC). Their application for chaotic systems can be approximated by the Takagi-Sugeno fuzzy model. The fuzzy Lyapunov function is defined as a fuzzy blending of quadratic Lyapunov functions. External forces or disturbances are not considered in the controlled systems. In the design controller procedure, a parallel distributed compensation scheme is utilized to construct a global FLC by blending all linear local state feedback controllers. The stability criteria are found not only for fuzzy modeling but also for a real chaotic system. Furthermore, this controller design problem can be reduced to a linear matrix inequality (LMI) problem by use of the Schur Complements. Efficient interior-point algorithms are now available in the Matlab toolbox to solve this type of problem. Simulation results show the utility of the FLC design method based on the LMIs proposed in this paper.
- 出版日期2012-11
