New Condition of Stabilization of Uncertain Continuous Takagi-Sugeno Fuzzy System based on Fuzzy Lyapunov Function

Manai, Yassine; Benrejeb, Mohamed

doi:10.5815/ijisa.2012.04.03

Cited by 15 publications

(8 citation statements)

References 6 publications

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“…where, for forward Euler approximation, matrices F and Ĝ are defined, respectively, by [3], [4] , F I TA G TB    (10) and for Tustin approximation, respectively, by [19], [31] 11 , 2 2 2…”

Section:  mentioning

confidence: 99%

On the Sampling and the Performance Comparison of Controlled LTI Systems

Fekih¹,

Sfaihi²,

Benrejeb³

2018

ijacsa

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In this paper, the impact of the discretization techniques and the sampling time, on the finite-time stabilization of sampled-data controlled Linear Time Invariant (LTI) systems, is investigated. To stabilize the process in finite time, a discretetime feedback dead-beat controller is designed for the sampleddata system. Checkable conditions on the approximate discretetime plant model and the associated controller that guarantee the finite-time stabilization of the exact model are developed. The trade-off between the discretization technique, the sampling time and the desired performances is illustrated and discussed. Results are presented through a case study.

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Section:  mentioning

confidence: 99%

On the Sampling and the Performance Comparison of Controlled LTI Systems

Fekih¹,

Sfaihi²,

Benrejeb³

2018

ijacsa

Self Cite

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“…One of the main drawbacks of using the FLF for continuous-time systems is the existence of a derivative of the membership functions, which can be written as follows (Manai and Benrejeb, 2011):…”

Section: Adding the Term E(t) δϕ(T)mentioning

confidence: 99%

Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent

Moodi¹,

Farrokhi²

2013

International Journal of Applied Mathematics and Computer Science

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This paper is concerned with observer design for nonlinear systems that are modeled by T-S fuzzy systems containing parametric and nonparametric uncertainties. Unlike most Sugeno models, the proposed method contains nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule contains a linear part plus a nonlinear term, which has an incremental quadratic constraint. This constraint relaxes the conservativeness introduced by other regular constraints for nonlinearities such as the Lipschitz conditions. To further reduce the conservativeness, a nonlinear injection term is added to the observer dynamics. Simulation examples show the effectiveness of the proposed method compared with the existing techniques reported in well-established journals.

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“…Fuzzy sets and fuzzy modeling proposed by Zadeh [1] have been studied to deal with complex, ill-defined, and uncertain systems in many other avenues [2,3,4]. Linguistic modeling [5] and fuzzy relation equation-based approach [6] were proposed as primordial identification methods for fuzzy models.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Characteristics of Fuzzy Scatter Partition-Based Fuzzy Inference System

Park¹,

Huang²,

Yu³

et al. 2013

International journal of advanced smart convergence

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This paper introduces the fuzzy scatter partition-based fuzzy inference system to construct the model for nonlinear process to analyze nonlinear characteristics. The fuzzy rules of fuzzy inference systems are generated by partitioning the input space in the scatter form using Fuzzy C-Means (FCM) clustering algorithm. The premise parameters of the rules are determined by membership matrix by means of FCM clustering algorithm. The consequence part of the rules is represented in the form of polynomial functions and the parameters of the consequence part are estimated by least square errors. The proposed model is evaluated with the performance using the data widely used in nonlinear process. Finally, this paper shows that the proposed model has the good result for high-dimension nonlinear process.

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New Condition of Stabilization of Uncertain Continuous Takagi-Sugeno Fuzzy System based on Fuzzy Lyapunov Function

Cited by 15 publications

References 6 publications

On the Sampling and the Performance Comparison of Controlled LTI Systems

On the Sampling and the Performance Comparison of Controlled LTI Systems

Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent

Nonlinear Characteristics of Fuzzy Scatter Partition-Based Fuzzy Inference System

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