Abstract
This chapter investigates the problem of control and filtering under the event-triggered mechanism for T–S fuzzy systems with different communication constraints. Firstly, the event-triggered output feedback tracking control is studied for discrete-time T–S fuzzy systems with static quantization, and sufficient conditions to design tracking controller are given by LMIs. Secondly, a piecewise Lyapunov–Krasovskii functional method is applied to the event-triggered \(\mathcal {L}_{2}\)–\(\mathcal {L}_{\infty }\) filtering issue for T–S fuzzy systems with time-delay and external interference under the limited communication resources and DoS attacks, so that the filtering error system is exponentially stable and maintains the prescribed \(\mathcal {L}_{2}\)–\(\mathcal {L}_{\infty }\) performance. Thirdly, the problem of event-triggered filtering for discrete-time T–S fuzzy systems with dynamic quantization and stochastic deception attacks is investigated. The sufficient design conditions for the full- and reduced-order \({\mathcal {H}}_\infty \) filters are presented as two strict LMIs. Finally, some examples are provided to show the feasibility and effectiveness of the proposed design methods, respectively.
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Chang, XH., **ong, J., Li, ZM., Wu, B. (2023). Event-Triggered Fuzzy Control and Filtering with Communication Constraints. In: Control and Filtering of Fuzzy Systems Under Communication Channels. Springer, Singapore. https://doi.org/10.1007/978-981-99-4346-3_5
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DOI: https://doi.org/10.1007/978-981-99-4346-3_5
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