Abstract
In this chapter, the model approximation issue of a T-S fuzzy switched system with stochastic disturbances is considered. Considering a high-order system, we constructing a reduced-order model, which can approximate the original system with a Hankel-norm performance and convert it to a lower-order switched system. Sufficient conditions are derived using the ADT method and piecewise Lyapunov function to ensure the resulting error system is mean-square exponentially stable and satisfies the Hankel-norm performance sense.
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Su, X., Wen, Y., Yang, Y., Shi, P. (2022). Model Approximation of Fuzzy Switched Systems. In: Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems. Studies in Systems, Decision and Control, vol 385. Springer, Cham. https://doi.org/10.1007/978-3-030-81214-0_10
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DOI: https://doi.org/10.1007/978-3-030-81214-0_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-81213-3
Online ISBN: 978-3-030-81214-0
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