Abstract
This chapter deals with sufficient conditions of asymptotic stability and stabilization for nonlinear discrete-time systems represented by a Takagi-Sugeno type fuzzy model whose state variables take only nonnegative values at all times for any nonnegative initial state. This class of systems is called positive T–S fuzzy systems. The conditions of stabilizability are obtained with state feedback control. This work is based on multiple Lyapunov functions. The results are presented in LMI form. A real plant model is studied to illustrate this technique.
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Benzaouia, A., El Hajjaji, A. (2014). Stabilization of Discrete-Time T–S Fuzzy Positive Systems. In: Advanced Takagi‒Sugeno Fuzzy Systems. Studies in Systems, Decision and Control, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-05639-5_4
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DOI: https://doi.org/10.1007/978-3-319-05639-5_4
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