Piecewise Fuzzy Anti-Windup Dynamic Output Feedback Control of Nonlinear Processes With Amplitude and Rate Actuator Saturations

In this paper, a novel anti-windup dynamic output compensator is developed to deal with the robust H infin output feedback control problem of nonlinear processes with amplitude and rate actuator saturations and external disturbances. Via fuzzy modeling of nonlinear systems, the proposed piecewise fu...

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Published in	IEEE transactions on fuzzy systems Vol. 17; no. 2; pp. 253 - 264
Main Authors	Zhang, Tiejun, Feng, Gang, Liu, Huaping, Lu, Jianhong
Format	Journal Article
Language	English
Published	New York IEEE 01.04.2009 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects	Actuator saturation Actuators amplitude and rate constraints anti-windup dynamic output feedback Fuzzy control Fuzzy systems linear matrix inequality (LMI) Lyapunov method Nonlinear control systems Nonlinear systems Output feedback piecewise quadratic Lyapunov function Process control Robust control Robustness Actuator Saturation Dynamic output feedback Piecewise quadratic Lyapunov function Amplitude and rate constraints Process control Linear matrix inequality (LMI) Anti-windup Fuzzy systems
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ISSN	1063-6706 1941-0034
DOI	10.1109/TFUZZ.2008.924238

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Abstract	In this paper, a novel anti-windup dynamic output compensator is developed to deal with the robust H infin output feedback control problem of nonlinear processes with amplitude and rate actuator saturations and external disturbances. Via fuzzy modeling of nonlinear systems, the proposed piecewise fuzzy anti-windup dynamic output feedback controller is designed based on piecewise quadratic Lyapunov functions. It is shown that with sector conditions, robust output feedback stabilization of an input-constrained nonlinear process can be formulated as a convex optimization problem subject to linear matrix inequalities. Simulation study on a strongly nonlinear continuously stirred tank reactor (CSTR) benchmark plant is given to show the performance of the proposed anti-windup dynamic compensator.
AbstractList	In this paper, a novel anti-windup dynamic output compensator is developed to deal with the robust (H) (infin) output feedback control problem of nonlinear processes with amplitude and rate actuator saturations and external disturbances. Via fuzzy modeling of nonlinear systems, the proposed piecewise fuzzy anti-windup dynamic output feedback controller is designed based on piecewise quadratic Lyapunov functions. It is shown that with sector conditions, robust output feedback stabilization of an input-constrained nonlinear process can be formulated as a convex optimization problem subject to linear matrix inequalities. Simulation study on a strongly nonlinear continuously stirred tank reactor (CSTR) benchmark plant is given to show the performance of the proposed anti-windup dynamic compensator. In this paper, a novel anti-windup dynamic output compensator is developed to deal with the robust H sub(infin) output feedback control problem of nonlinear processes with amplitude and rate actuator saturations and external disturbances. Via fuzzy modeling of nonlinear systems, the proposed piecewise fuzzy anti-windup dynamic output feedback controller is designed based on piecewise quadratic Lyapunov functions. It is shown that with sector conditions, robust output feedback stabilization of an input-constrained nonlinear process can be formulated as a convex optimization problem subject to linear matrix inequalities. Simulation study on a strongly nonlinear continuously stirred tank reactor (CSTR) benchmark plant is given to show the performance of the proposed anti-windup dynamic compensator.
Author	Tiejun Zhang Gang Feng Jianhong Lu Huaping Liu
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Keywords	Actuator Saturation Dynamic output feedback Piecewise quadratic Lyapunov function Amplitude and rate constraints Process control Linear matrix inequality (LMI) Anti-windup Fuzzy systems
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SubjectTerms	Actuator saturation Actuators amplitude and rate constraints anti-windup dynamic output feedback Fuzzy control Fuzzy systems linear matrix inequality (LMI) Lyapunov method Nonlinear control systems Nonlinear systems Output feedback piecewise quadratic Lyapunov function Process control Robust control Robustness
Title	Piecewise Fuzzy Anti-Windup Dynamic Output Feedback Control of Nonlinear Processes With Amplitude and Rate Actuator Saturations
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