Approaches to T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control for Nonlinear Itô Stochastic Systems

This paper deals with the problem of reliable and robust H ∞ static output feedback (SOF) controller synthesis for continuous-time nonlinear stochastic systems with actuator faults. The nonlinear stochastic plant is expressed by an Itô-type Takagi-Sugeno fuzzy-affine model with parametric uncertain...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2017-06, Vol.25 (3), p.569-583
Main Authors: Wei, Yanling, Qiu, Jianbin, Lam, Hak-Keung, Wu, Ligang
Format: Article
Language:English
Subjects:
Analytical models
Attenuation
Computer simulation
Control theory
Controllers
Design analysis
Design engineering
Faults
Feedback
Feedback control
Fuzzy systems
Itô stochastic systems
Linear matrix inequalities
Markov chains
Mathematical analysis
Mathematical model
Matrix methods
mode-dependent Lyapunov function
Nonlinear control
nonlinear systems
Nonlinearity
Output feedback
Probability theory
Reliability
reliable output feedback control
Robustness
Silicon
Stochastic processes
Stochastic systems
Systems analysis
Takagi–Sugeno (T–S) fuzzy-affine systems
Uncertainty
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Summary:This paper deals with the problem of reliable and robust H ∞ static output feedback (SOF) controller synthesis for continuous-time nonlinear stochastic systems with actuator faults. The nonlinear stochastic plant is expressed by an Itô-type Takagi-Sugeno fuzzy-affine model with parametric uncertainties, and a Markov process is employed to model the occurrence of actuator fault. The purpose is to design an admissible piecewise SOF controller, such that the resulting closed-loop system is stochastically stable with a prescribed disturbance attenuation level in an sense. Specifically, based on a Markovian Lyapunov function combined with Itô differential formula, S-procedure, and some matrix inequality convexification procedures, two new approaches to the reliable SOF controller analysis and synthesis are proposed for the underlying stochastic fuzzy-affine systems. It is shown that the existence of desired reliable controllers is fully characterized in terms of strict linear matrix inequalities. Finally, simulation examples are presented to illustrate the effectiveness and advantages of the developed methods.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2016.2566810