Anti-windup TS Fuzzy PI-like Control for Discrete-Time Nonlinear Systems with Saturated Actuators

This paper deals with piecewise constant set-points tracking control of nonlinear discrete-time systems represented by Takagi-Sugeno models under actuators’ saturation. To this end, a fuzzy Proportional Integral-like (PI-like) discrete-time control scheme is considered, which consists of a proportio...

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Bibliographic Details
Published in:International journal of fuzzy systems 2020-02, Vol.22 (1), p.46-61
Main Authors: Lopes, Adriano N. D., Leite, Valter J. S., Silva, Luis F. P., Guelton, Kevin
Format: Article
Language:English
Subjects:
Actuators
Artificial Intelligence
Automatic
Automatic Control Engineering
Closed loop systems
Closed loops
Computational Intelligence
Computer Science
Control systems
Convex analysis
Convexity
Discrete time systems
Dynamical Systems
Engineering
Engineering Sciences
Fuzzy control
Fuzzy sets
Interactive control
Liapunov functions
Linear matrix inequalities
Management Science
Mathematics
Nonlinear control
Nonlinear systems
Operations Research
Optimization
Proportional integral
State feedback
Tracking control
Tracking errors
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Summary:This paper deals with piecewise constant set-points tracking control of nonlinear discrete-time systems represented by Takagi-Sugeno models under actuators’ saturation. To this end, a fuzzy Proportional Integral-like (PI-like) discrete-time control scheme is considered, which consists of a proportional state feedback, an integral action over the tracking error, and an anti-windup action. All the control gains are obtained through a convex optimization procedure formulated in term of Linear Matrix Inequalities (LMIs). The proposed method yields a Parameter Distributed Compensation (PDC) PI-like control and a non-PDC anti-windup action structure. Due to the actuators’ saturation, a local approach is considered with a fuzzy Lyapunov function to ensure the local closed-loop stability, to provide an estimate of the region of attraction, and to compute the amplitude bounds of set-points changes. This latter issue allows delivering operational security by providing a bounded range for the set-points variation. To validate and illustrate the performance of the proposed tracking control approach, real-time experiments has been performed on an industrial oriented process consisting on the nonlinear level control of two interactive tanks.
ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-019-00781-0