Takagi–Sugeno Fuzzy-Based CNF Control Approach Considering a Class of Constrained Nonlinear Systems

ABSTRACT

This paper proposes a parallel distributed compensation-based composite nonlinear feedback (CNF) control approach for a class of constrained nonlinear systems, which is described based on Takagi–Sugeno (T-S) fuzzy models with input saturation. By producing invariant sets, the sufficient conditions guarantee the asymptotic stability of the closed-loop system. The presence of input saturation nonlinearity is derived in terms of linear matrix inequality. To the best knowledge of the authors, the research presented here is taken into real consideration as the first attempt to propose a new T-S fuzzy-based CNF control approach. Contrary to the existing CNF outcomes for the linear systems, the proposed one is now applicable to cope with a class of nonlinear systems. In a word, the present CNF control approach comprises two nonlinear parts. It is to note that the first term assures the stability of the closed-loop nonlinear system and provides a fast convergence response, as long as the second term reduces the overshoot of the response, correspondingly. In one such case, the overall CNF control approach satisfies the predefined input saturation, as well. In the sequel, in order to illustrate the merits of the proposed control approach, the continuous stirred tank reactors and the electromagnetic suspension system are chosen to verify the investigated results in comparison with those obtained from the existing results.

KEYWORDS:

• Composite nonlinear feedback (CNF)
• Continuous stirred tank reactor (CSTR)
• Electromagnetic suspension system (EMS)
• Linear matrix inequality (LMI)
• Parallel distributed compensation (PDC)
• Takagi–Sugeno (T-S) fuzzy-based model

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

H. Ebrahimi Mollabashi

Hamed Ebrahimi Mollabashi was born in Ardabil, Iran, in 1988. He has received the MSc degree in control and systems engineering. Currently, he is a PhD student at department of control engineering, south Tehran branch, Azad University. He is a recipient of Ebnesina award for linear control system book in 2017 and he has more than six journal and conference papers. His research interests include nonlinear control strategy, industrial control, and optimization.

E-mail: [email protected]

A. H. Mazinan

Amir Hooshang Mazinan received the PhD degree in 2009 in control engineering. Dr Mazinan is the Associate Professor and also the Director of Control Engineering Department at Azad University, South Tehran Branch, Tehran, Iran, since 2009. He is now acting as the Associate Editor in Transactions of the Institute of Measurement and Control (Sage publisher) and the Guest Editor in Computers & Electrical Engineering Journal (Elsevier Publisher). Moreover, he is a member of Editorial Board in three international journals and also a member of programming committee in four international conferences. Dr Mazinan has more than 120 journal and conference papers in many reputable publishers. His current research interests include intelligent systems, model based predictive control, over-actuated space systems modeling and control, time–frequency representation, filter banks, wavelet theory, and image–video processing.

Corresponding author. E-mail: [email protected]

H. Hamidi

Hodjat Hamidi was born in Shazand Arak, Iran. He got his PhD degree in computer and electronics engineering. His main research interest areas are fault-tolerant systems (fault-tolerant computing, error control in digital designs) and applications and reliable and secure distributed systems and information technology. Since 2013, he has been a faculty member at the IT group of K. N. Toosi University of Technology, Tehran Iran.

E-mail: [email protected]