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Descriptor fuzzy system

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  • FUZZY DESCRIPTOR SYSTEMS AND CONTROL This chapter deals with a fuzzy descriptor system defined by extending the original Takagi-Sugeno fuzzy model. A number of stability conditions for the fuzzy descriptor system are derived and represented in terms of LMIs. A motivating example for using the fuzzy descriptor system instead of the original Takagi-Sugeno fuzzy model is presented. An LMI-based design approach is employed to find stabilizing feedback gains and a common Lyapunov function.

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  • NONLINEAR MODEL FOLLOWING CONTROL In Chapter 9, the model following control for chaotic systems based on the Takagi-Sugeno fuzzy models with the common B matrix is discussed. In this chapter, we present a more general framework w1, 2x to address the nonlinear model following control problem for the fuzzy descriptor systems introduced in Chapter 10. Specifically, these extended results deal with nonlinear model following control for fuzzy descriptor systems with different B matrices.

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