Robust Stability Analysis of Uncertain T--S Fuzzy Systems with Random Time-varying Delay and Packet Dropouts

2025 · doi:10.22541/au.173702011.15973672/v1
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Abstract

In this study, we explore the robust H ∞ control for uncertain T-S fuzzy systems with random time-varying delay and packet dropouts. The novel fuzzy model is presented to account for the stochastic nature of delays. A new Lyapunov-Krasovskii functional (LKF) is developed upon a delay decomposition technique. Less conservative results are obtained by segmenting the delay interval and considering the probability distribution within each segment. Once the time-varying delay is known, conservatism is further reduced. We derive two sufficient criteria using reciprocally convex inequalities. A new delay-derivative dependent method is proposed. Unlike previous research, this approach effectively incorporates delay derivative information to build the system with stochastic time-varying delay. The superiority of our approach is thoroughly demonstrated by simulations involving three examples as well as a model of truck-trailer.
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Abstract

In this study, we explore the robust H ∞ control for uncertain T-S fuzzy systems with random time-varying delay and packet dropouts. The novel fuzzy model is presented to account for the stochastic nature of delays. A new Lyapunov-Krasovskii functional (LKF) is developed upon a delay decomposition technique. Less conservative results are obtained by segmenting the delay interval and considering the probability distribution within each segment. Once the time-varying delay is known, conservatism is further reduced. We derive two sufficient criteria using reciprocally convex inequalities. A new delay-derivative dependent method is proposed. Unlike previous research, this approach effectively incorporates delay derivative information to build the system with stochastic time-varying delay. The superiority of our approach is thoroughly demonstrated by simulations involving three examples as well as a model of truck-trailer. Supplementary Material File (document2.pdf) - Download - 425.77 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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Authors Metrics & Citations Metrics Article Usage 225views 138downloads Citations Download citation Chao Ge, Changying Zhou, Zhiwei Zhao. Robust Stability Analysis of Uncertain T--S Fuzzy Systems with Random Time-varying Delay and Packet Dropouts. Authorea. 16 January 2025. DOI: https://doi.org/10.22541/au.173702011.15973672/v1 DOI: https://doi.org/10.22541/au.173702011.15973672/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

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