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Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems

Qiu, Jianbin, Ding, Steven X., Gao, Huijun, Yin, Shen·2016·IEEE Transactions on Fuzzy Systems

Abstract

This paper investigates the problem of output feedback robust ℋ∞control for a class of nonlinear spatially distributed systems described by first-order hyperbolic partial differential equations (PDEs) with Markovian jumping actuator faults. The nonlinear hyperbolic PDE systems are first expressed by Takagi-Sugeno fuzzy models with parameter uncertainties, and then, the objective is to design a reliable distributed fuzzy static output feedback controller guaranteeing the stochastic exponential stability of the resulting closed-loop system with certain ℋ∞disturbance attenuation performance. Based on a Markovian Lyapunov functional combined with some matrix inequality convexification techniques, two approaches are developed for reliable fuzzy static output feedback controller design of the underlying fuzzy PDE systems. It is shown that the controller gains can be obtained by solving a set of finite linear matrix inequalities based on the finite-difference method in space. Finally, two examples are presented to demonstrate the effectiveness of the proposed methods.

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Metadata

Authors
Qiu, J., Ding, S. X., Gao, H., & Yin, S.
Venue
IEEE Transactions on Fuzzy Systems
Published
2016-04
Volume
24
Issue
2
Pages
388-400
ISSN
  • 1063-6706 (ISSN-L)
  • 1941-0034
OpenAlex
W2338514232
Cited by
382
References
23
FWCI
76.71
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems. https://app.cochat.ai/papers/10.1109/tfuzz.2015.2457934
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Qiu, J., Ding, S. X., Gao, H., & Yin, S. (2016). Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems. IEEE Transactions on Fuzzy Systems. https://doi.org/10.1109/tfuzz.2015.2457934

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