T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

Yanling Wei; Jianbin Qiu; Xiuyan Peng; Hak Keung Lam

doi:10.1007/s00034-017-0547-0

T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

Yanling Wei, Jianbin Qiu, Xiuyan Peng^*, Hak Keung Lam

^*Corresponding author for this work

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Abstract

This article presents a singular system approach to the reliable H_∞ static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi–Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.

Original language	English
Pages (from-to)	81-97
Number of pages	17
Journal	Circuits, Systems, and Signal Processing
Volume	37
Issue number	1
Early online date	4 Apr 2017
DOIs	https://doi.org/10.1007/s00034-017-0547-0
Publication status	Published - 1 Jan 2018

Keywords

Mode-dependent Lyapunov function
Nonlinear systems
Reliable output feedback control
Singular systems
T–S fuzzy-affine systems

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10.1007/s00034-017-0547-0

T-S fuzzy-affine-model-based reliable_WEI_Firstonline4April2017_GREEN AAMAccepted author manuscript, 215 KB

Cite this

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abstract = "This article presents a singular system approach to the reliable H∞ static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi–Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.",

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AU - Lam, Hak Keung

PY - 2018/1/1

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T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

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