An approach to H∞ control of fuzzy dynamic systems
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
Robust H∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions
Information Sciences: an International Journal
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IEEE Transactions on Fuzzy Systems
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Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The paper is concerned with robust stabilization and H∞ control of a class of uncertain discrete-time fuzzy systems. The class of uncertain systems is described by state space Takagi-Sugeno (TS) fuzzy models with linear nominal parts and norm-bounded parameter uncertainties in the state and output equations. First, a sufficient condition on robust stability of the fuzzy models is proposed. Then, H ∞-disturbance attenuation performance of the fuzzy models is analyzed. Some sufficient conditions are derived on robust H ∞-disturbance attenuation in which both robust stability and a prescribed H∞ performance are required to be achieved, irrespective of the uncertainties. A numerical example shows the use of the results on the stabilization and H∞-disturbance attenuation of a class of discrete-time nonlinear systems via fuzzy switch