Abstract
This chapter focuses on designing sampled-data controller for IT2 fuzzy systems with actuator fault. The IT2 fuzzy system and the IT2 state-feedback controller share different membership functions. Firstly, considering the mismatched membership functions, the IT2 fuzzy model and the IT2 state-feedback sampled-data controller are constructed. Secondly, based on Lyapunov stability theory, an IT2 state-feedback sampled-data controller is designed such that the closed-loop system is asymptotically stable. The actuator failure is considered in the control systems. The resulting closed-loop system is reliable since the designed controller can guarantee the asymptotic stability and \(H_{\infty }\) performance when the actuator experiences failure focuses on designing sampled-data controller for IT2 fuzzy systems with actuator fault. The IT2 fuzzy system and the IT2 state-feedback controller share different membership functions. Firstly, considering the mismatched membership functions, the IT2 fuzzy model and the IT2 state-feedback sampled-data controller are constructed. Secondly, based on Lyapunov stability theory, an IT2 state-feedback sampled-data controller is designed such that the closed-loop system is asymptotically stable. The actuator failure is considered in the control systems. The resulting closed-loop system is reliable since the designed controller can guarantee the asymptotic stability and \(H_{\infty }\) performance when the actuator experiences failure.
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© 2016 Springer Science+Business Media Singapore
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Li, H., Wu, L., Lam, HK., Gao, Y. (2016). Sampled-Data 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_4
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DOI: https://doi.org/10.1007/978-981-10-0593-0_4
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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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