Abstract
This chapter deals with the extension of the positive invariance approach to nonlinear systems modeled by Takagi–Sugeno fuzzy systems. The saturations on the control signal are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.
Keywords
- Fuzzy Systems
- Common Lyapunov Function
- Positive Innovation
- Positive Invariance Approach
- Asymptotic Stability
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Benzaouia, A., El Hajjaji, A. (2014). Stabilization of T–S Fuzzy Systems with Constrained Controls. 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_2
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DOI: https://doi.org/10.1007/978-3-319-05639-5_2
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