Abstract
This chapter addresses robust observer-based \(H_{\infty }\) control problem for Takagi–Sugeno fuzzy systems with time-varying norm bounded uncertainties. Sufficient relaxed conditions for synthesis of a fuzzy observer and a fuzzy controller for T–S fuzzy systems are derived in terms of a set of linear matrix inequalities (LMIs). In comparison with the existing techniques in literature, the proposed approach considerably simplifies the design procedure and gives in only one step the controller and the observer gains. The observer and controller designed are capable to reject the known disturbance assumed but norm bounded. In order to highlight the performance of the proposed control algorithm, numerical simulations are performed.
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© 2014 Springer International Publishing Switzerland
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Benzaouia, A., El Hajjaji, A. (2014). Robust Output \(H_{\infty }\) Fuzzy Control. 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_7
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DOI: https://doi.org/10.1007/978-3-319-05639-5_7
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