Abstract
The dissipativity-based filtering problem is investigated for T-S fuzzy switched systems with stochastic perturbation in this chapter. First, sufficient conditions are established to ensure the mean-square exponential stability of T-S fuzzy switched systems. Next, we design a filter for the system of interest, subject to Brownian motion. The piecewise Lyapunov function approach and ADT method are combined, and valid fuzzy filters are presented such that the filter error dynamics exhibit mean-square exponential stability and the prescribed dissipative property. Moreover, the solvability conditions of the designed filter are specified through linearization.
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Su, X., Wen, Y., Yang, Y., Shi, P. (2022). Dissipative Filtering 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_5
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DOI: https://doi.org/10.1007/978-3-030-81214-0_5
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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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