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Model-based control and stability analysis of discrete-time polynomial fuzzy systems with time delay and positivity constraints
2019
IEEE transactions on fuzzy systems
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Index Terms-Discrete-time polynomial fuzzy-model-based (PFMB) control systems with time delay, positive systems, piecewise linear membership functions (PLMFs), premise variables, stability analysis, SOS ...
This paper proposes a novel Lyapunov stabilization analysis of discrete-time polynomial-fuzzy-model-based control systems with time delay under positivity constraint. ...
Discrete-Time Polynomial Fuzzy Models With Time Delay The dynamics of nonlinear discrete-time systems with time delay is represented by p fuzzy rules of discrete-time polynomial fuzzy systems with time ...
doi:10.1109/tfuzz.2019.2893344
fatcat:lxmqa6at7fb7pf4vjo3pzljh7a
Control design for interval type-2 polynomial fuzzy-model-based systems with time-varying delay
2017
IET Control Theory & Applications
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Abstract: In this paper, the problems of stabilization for interval type-2 polynomial fuzzy systems with time-varying delay and parameter uncertainties are investigated. ...
Control design for interval type-2 polynomial fuzzy-model-based systems with time-varying delay. ...
Interval Type-2 Polynomial Fuzzy Model with Time-Varying Delay Consider a nonlinear system with time-varying delays and parameter uncertainties represented by the following interval type-2 polynomial fuzzy ...
doi:10.1049/iet-cta.2016.1409
fatcat:wbi5f6abfngwbge22pjfgahcja
A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis
2018
Engineering applications of artificial intelligence
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premise membership functions and the number of rules used in the fuzzy model and fuzzy controller which forms the FMB control system. ...
This paper reviews the stability analysis of continuous-time fuzzy-modelbased (FMB) control systems, with emphasis on state-feedback control techniques, which is an essential issue received a great deal ...
fuzzy model and stability analysis [99] Polynomial fuzzy model proposed [60, 61] MFD stability analysis (staircase membership functions) [136] MFD stability analysis (piecewise linear membership ...
doi:10.1016/j.engappai.2017.09.007
fatcat:wrqswulpvrflzp3t24wjh2zoye
Fuzzy control turns 50: 10 years later
2015
Fuzzy sets and systems (Print)
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Ten years is at the same time a long period and short time thinking to the inner dynamics of research. This paper, presented for these 50 years of Fuzzy Sets is taking into account both thoughts. ...
In 2015, we celebrate the 50th anniversary of Fuzzy Sets, ten years after the main milestones regarding its applications in fuzzy control in their 40th birthday were reviewed in FSS, see [1] . ...
Shapedependent analysis with TS fuzzy models of the partial derivatives of membership functions appears in [95] . ...
doi:10.1016/j.fss.2015.05.005
fatcat:23eokygcdjghlfzch5ofcdycdu
A New Design of Membership-Function-Dependent Controller for T-S Fuzzy Systems Under Imperfect Premise Matching
2019
IEEE transactions on fuzzy systems
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This paper is concerned with the problem of membership-function-dependent controller design for a class of discrete-time T-S fuzzy systems. ...
With piecewise Lyapunov functions, the approaches to the piecewise-fuzzy state feedback and observer-based output feedback controller design are proposed, respectively, in terms of linear matrix inequalities ...
The results on stability analysis of continuous-time fuzzy-model-based control systems were reviewed in [2] , where some fundamental and essential aspects related to membership-function-dependent analysis ...
doi:10.1109/tfuzz.2018.2880424
fatcat:nynrkdyxjrgulia3f4zhdo53fm
2019 Index IEEE Transactions on Fuzzy Systems Vol. 27
2019
IEEE transactions on fuzzy systems
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., +, TFUZZ Oct. 2019 1931-1942 Model-Based Control and Stability Analysis of Discrete-Time Polynomial Fuzzy Systems With Time Delay and Positivity Constraints. ...
., +, TFUZZ Oct. 2019 1931-
1942
Model-Based Control and Stability Analysis of Discrete-Time Polynomial
Fuzzy Systems With Time Delay and Positivity Constraints. ...
Nonlinear filters Adaptive Neuro-Fuzzy Control for Discrete-Time Nonaffine Nonlinear Systems. Gil ...
doi:10.1109/tfuzz.2020.2966828
fatcat:pgfo5oksjrdbpa5s534ky74bie
Design of a Polynomial Fuzzy Observer Controller With Sampled-Output Measurements for Nonlinear Systems Considering Unmeasurable Premise Variables
2015
IEEE transactions on fuzzy systems
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In this paper, we propose a polynomial fuzzy observer-controller for nonlinear systems where the design is achieved through the stability analysis of polynomial-fuzzymodel-based (PFMB) observer-control ...
Simulation examples are presented to demonstrate the feasibility and validity of the design and analysis results. ...
The third direction is the membership-function-dependent analysis which brings the information of membership functions into stability analysis such as using symbolic variables [6] , [25] , [26] , polynomial ...
doi:10.1109/tfuzz.2015.2402685
fatcat:tsgynz7lbrcvzmwybnsfzxzedq
Polynomial Fuzzy-Model-Based Control Systems: Stability Analysis via Approximated Membership Functions Considering Sector Nonlinearity of Control Input
2015
IEEE transactions on fuzzy systems
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This paper presents the stability analysis of polynomial fuzzy-model-based (PFMB) control systems of which both the polynomial fuzzy model and the polynomial fuzzy controller are allowed to have their ...
Index Terms-Polynomial fuzzy-model-based (PFMB) control systems, stability analysis, Taylor series membership functions (TSMFs), sector nonlinearity of control input, sum of squares (SOS). ...
It should be noted that the PFMB control system considered in this example are with different sets of membership functions for polynomial fuzzy model and polynomial fuzzy controller. ...
doi:10.1109/tfuzz.2015.2407907
fatcat:ibgv7d6uavfzbawjr7zyyfz45i
On the conservativeness of fuzzy and fuzzy-polynomial control of nonlinear systems
2009
Annual Reviews in Control
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A fairly general class of nonlinear plants can be modeled as fuzzy systems, i.e., as a time-varying convex combination of "vertex" linear systems. ...
Recently, the sum of squares paradigm extended some linear results to polynomial systems; this idea can be used for the so-called fuzzy polynomial systems that are also discussed in this work. to guarantee ...
Stability analysis and control design (for affine-in-control fuzzy polynomial systems) have been outlined. ...
doi:10.1016/j.arcontrol.2009.02.001
fatcat:4ssrs4m3qzdjjhybze5kethpmu
Stability and Stabilization Condition for T-S Fuzzy Systems with Time-Delay under Imperfect Premise Matching via an Integral Inequality
2020
International Journal of Computational Intelligence Systems
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A B S T R A C T This paper focuses on the stability and stabilization analysis for the T-S fuzzy systems with time-delay under imperfect premise matching, in which the number of fuzzy rules and membership ...
functions employed for the fuzzy model and fuzzy controller are different. ...
AUTHORS' CONTRIBUTIONS Z.Z. and W.W. proposed the theoretical analysis; Z.Z. conducted the simulations and wrote the paper. X. G. polished the language of the paper. ...
doi:10.2991/ijcis.d.201112.001
fatcat:ojsmtzksgvaf7jg5w4su455oka
2021 Index IEEE Transactions on Fuzzy Systems Vol. 29
2021
IEEE transactions on fuzzy systems
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The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. ...
The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author's name, the publication abbreviation, month, and year, and inclusive pages. ...
., +, TFUZZ Feb. 2021 298-309 Filter Design for Positive T-S Fuzzy Continuous-Time Systems With Time Delay Using Piecewise-Linear Membership Functions. ...
doi:10.1109/tfuzz.2021.3134727
fatcat:m66dl6wxdbgendhdx4bliy6nky
Delay-Dependent Stability Analysis of TS Fuzzy Switched Time-Delay Systems
2017
Mathematical Problems in Engineering
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This paper proposes a new approach to deal with the problem of stability under arbitrary switching of continuous-time switched time-delay systems represented by TS fuzzy models. ...
The stability criterion, hence obtained, is algebraic, is easy to use, and permits avoiding the problem of existence of a common Lyapunov-Krasovskii functional, considered as a difficult task even for ...
Conflicts of Interest The authors declare that there are no conflicts of interest regarding the publication of this paper. ...
doi:10.1155/2017/8123830
fatcat:oyxqndjz7ngmbblfphxxdp55eu
Membership-Function-Dependent Stability Analysis and Control Synthesis of Guaranteed Cost Fuzzy-Model-Based Control Systems
2016
International Journal of Fuzzy Systems
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Membership-function-dependent stability conditions in terms of linear matrix inequalities are obtained to determine the system stability and feedback gains with the consideration of the system performance ...
A membershipfunction-dependent approach using the piecewise-linear membership functions is employed to include the information of membership functions into the stability analysis. ...
Guan and Chen applied this method on T-S fuzzy systems with time delay in [28] , Chen and Liu adopted the method in nonlinear systems with time-varying delay in [29] , the problem of interval time-varying ...
doi:10.1007/s40815-016-0162-4
fatcat:iol2mpnpyfgzndnqitpl4abk6e
The Absolute Stability Analysis in Fuzzy Control Systems with Parametric Uncertainties and Reference Inputs
2009
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
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In our work, the absolute stability analysis of fuzzy control systems is given with respect to a non-zero reference input and an uncertain linear plant with the parametric robust Popov criterion unlike ...
The parametric robust Popov criterion for parametric absolute stability based on Lur'e systems is also applied to the stability analysis of P type fuzzy control systems with uncertain plants. ...
In addition, the authors also sincerely appreciate two anonymous Reviewers' valuable and constructive suggestions to let this paper demonstrate rigorously and completely. ...
doi:10.1587/transfun.e92.a.2017
fatcat:fipqtrhtmfdxxorslie3a42xse
A Review of Fuzzy Logic and Neural Network Based Intelligent Control Design for Discrete-Time Systems
2016
Discrete Dynamics in Nature and Society
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For discrete-time FLC systems, numerous remarkable design approaches are introduced and a series of efficient methods to deal with the robustness, stability, and time delay of FLC discrete-time systems ...
This survey aims to present a summary of the state of the art of the design of FLC and NN-based intelligent control for discrete-time systems. ...
Robust control problem for systems with time delay was concerned as well. Feng [62] used a piecewise smooth Lyapunov function to analyze the stability of discrete-time T-S fuzzy dynamic systems. ...
doi:10.1155/2016/7217364
fatcat:qkjxrfnvpja4zjzk2cgmg6x7tm
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