Abstract
This chapter investigates the problem of reliable mixed \(H_2/H_\infty \) control for discrete-time IT2 fuzzy systems via static output-feedback control method. The number of fuzzy rules and the membership functions for the static output-feedback controller are different from those for the plant. A sufficient criterion of reliable stability with mixed \(H_{2}/H_\infty \) performance is derived for the closed-loop system with sensor failure. The static output-feedback controller is designed for two different cases (known sensor failure case and unknown sensor failure case) to guarantee the reliable stability with mixed \(H_2/H_\infty \) performance. Moreover, a novel criteria are presented to obtain the optical \(H_2\) performance for the closed-loop system.
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© 2016 Springer Science+Business Media Singapore
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Li, H., Wu, L., Lam, HK., Gao, Y. (2016). Output-Feedback Control of Interval Type-2 Fuzzy-Model-Based Systems. In: Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems. Springer, Singapore. https://doi.org/10.1007/978-981-10-0593-0_12
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DOI: https://doi.org/10.1007/978-981-10-0593-0_12
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0592-3
Online ISBN: 978-981-10-0593-0
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