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Model-based control and stability analysis of discrete-time polynomial fuzzy systems with time delay and positivity constraints

Xiaomiao Li, Kamyar Merhan
2019 IEEE transactions on fuzzy systems  
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

Yuandi Li, Hak-Keung Lam, Lixian Zhang
2017 IET Control Theory & Applications  
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

H.K. Lam
2018 Engineering applications of artificial intelligence  
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

Thierry M. Guerra, Antonio Sala, Kazuo Tanaka
2015 Fuzzy sets and systems (Print)  
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

Changzhu Zhang, Hak-Keung Lam, Jianbin Qiu, Chengju Liu, Qijun Chen
2019 IEEE transactions on fuzzy systems  
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  
., +, 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

Chuang Liu, H. K. Lam
2015 IEEE transactions on fuzzy systems  
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

H. K. Lam, Chuang Liu, Ligang Wu, Xudong Zhao
2015 IEEE transactions on fuzzy systems  
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

Antonio Sala
2009 Annual Reviews in Control  
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

Zejian Zhang, Dawei Wang, Xiao-Zhi Gao
2020 International Journal of Computational Intelligence Systems  
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  
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

Nawel Aoun, Marwen Kermani, Anis Sakly
2017 Mathematical Problems in Engineering  
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

H. K. Lam, Bo Xiao, Yan Yu, Xunhe Yin, Hugang Han, Shun-Hung Tsai, Chin-Sheng Chen
2016 International Journal of Fuzzy Systems  
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

Bing-Fei WU, Li-Shan MA, Jau-Woei PERNG
2009 IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences  
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

Yiming Jiang, Chenguang Yang, Hongbin Ma
2016 Discrete Dynamics in Nature and Society  
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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