TS Fuzzy Model-Based Controller Design for a Class of Nonlinear Systems Including Nonsmooth Functions

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TS Fuzzy Model-Based Controller Design for a Class of Nonlinear Systems Including Nonsmooth Functions

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Vafamand, Navid / Asemani, Mohammad Hassan / Khayatiyan, Alireza / Khooban, Mohammad Hassan / Dragicevic, Tomislav

This paper proposes a novel robust controller design for a class of nonlinear systems including hard nonlinearity functions. The proposed approach is based on Takagi-Sugeno (TS) fuzzy modeling, nonquadratic Lyapunov function, and nonparallel distributed compensation scheme. In this paper, a novel TS modeling of the nonlinear dynamics with signum functions is proposed. This model can exactly represent the original nonlinear system with hard nonlinearity while the discontinuous signum functions are not approximated. Based on the bounded-input-bounded-output stability scheme and L₁ performance criterion, new robust controller design conditions in terms of linear matrix inequalities are derived. Three practical case studies, electric power steering system, a helicopter model and servo-mechanical system, are presented to demonstrate the importance of such class of nonlinear systems comprising signum function. Furthermore, to show the superiorities of the proposed approach, it is applied to these systems; and, the experimental real-time hardware-in-the-loop results are compared with the published literature with the same topic.

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Title :

TS Fuzzy Model-Based Controller Design for a Class of Nonlinear Systems Including Nonsmooth Functions

Contributors:

Vafamand, Navid (author) / Asemani, Mohammad Hassan (author) / Khayatiyan, Alireza (author) / Khooban, Mohammad Hassan (author) / Dragicevic, Tomislav (author)

Publication date :

2020-01-01

Remarks:

Vafamand , N , Asemani , M H , Khayatiyan , A , Khooban , M H & Dragicevic , T 2020 , ' TS Fuzzy Model-Based Controller Design for a Class of Nonlinear Systems Including Nonsmooth Functions ' , I E E E Transactions on Systems, Man and Cybernetics, Part A: Systems & Humans , vol. 50 , no. 1 , 8170241 , pp. 233-244 . https://doi.org/10.1109/TSMC.2017.2773664

DOI :

https://doi.org/10.1109/TSMC.2017.2773664

Type of media :

Article (Journal)

Type of material :

Electronic Resource

Language :

English

Keywords :

Electric power steering (EPS) system , Hardware-in-the-loop (HIL) , Helicopter system , Nonsmooth dynamical equations , Robust L₁ controller , Servo-system , Signum function , Takagi-Sugeno (TS) fuzzy model , robust L , Controller