86
views
0
recommends
+1 Recommend
1 collections
    1
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Stability analysis of discrete-time positive polynomial-fuzzy-model-based control systems through fuzzy co-positive Lyapunov function with bounded control

      research-article
      1 , , 1 , 2 , 3 , 4
      IET Control Theory & Applications
      The Institution of Engineering and Technology
      position control, polynomials, stability, nonlinear control systems, Lyapunov methods, control system synthesis, discrete time systems, fuzzy control, linear systems, fuzzy set theory, closed loop systems, discrete-time positive polynomial-fuzzy-model-based control systems, co-positive Lyapunov function, bounded control, discrete-time polynomial-fuzzy-model-based control systems, positivity constraint, local sub-Lyapunov function candidates, positivity property, corresponding membership functions, closed-loop polynomial fuzzy controller, constructed polynomial fuzzy model, control signal conditions, Lyapunov stability, positivity conditions

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          This study employs a novel fuzzy co-positive Lyapunov function to investigate the stability of discrete-time polynomial-fuzzy-model-based control systems under positivity constraint. The fuzzy co-positive Lyapunov function consists of a number of local sub-Lyapunov function candidates which includes the positivity property of a non-linear system and the contribution of each sub-Lyapunov function candidates depends on the corresponding membership functions. Imperfect premise matching design concept is used for the design of a closed-loop polynomial fuzzy controller based on the constructed polynomial fuzzy model. The bounded control signal conditions (upper and lower boundary demands on control signal) are included in the Lyapunov stability and positivity conditions, in which all are formulated in the form of sum-of-squares conditions. A numerical example is given to validate the proposed approach.

          Most cited references46

          • Record: found
          • Abstract: not found
          • Article: not found

          Controller Synthesis for Positive Linear Systems With Bounded Controls

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Positive Observers and Dynamic Output-Feedback Controllers for Interval Positive Linear Systems

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws

                Bookmark

                Author and article information

                Contributors
                Journal
                IET-CTA
                IET Control Theory & Applications
                IET Control Theory Appl.
                The Institution of Engineering and Technology
                1751-8644
                1751-8652
                7 October 2019
                28 October 2019
                29 January 2020
                : 14
                : 2
                : 233-243
                Affiliations
                [1 ] School of Electronic Engineering and Computer Science, Queen Mary University of London , London, E1 4NS, UK
                [2 ] Department of Informatics, Kings College London, London, WC2R 2LS, UK
                [3 ] Hamlyn Centre for Robotic Surgery , Imperial College London, London SW7 2AZ, UK
                [4 ] School of Electrical Engineering, Yanshan University , Qinghuangdao, Hebei 066004, People's Republic of China
                Author information
                https://orcid.org/0000-0002-4091-8233
                Article
                IET-CTA.2019.0133 CTA.2019.0133.R1
                10.1049/iet-cta.2019.0133
                c4029e6b-82fb-4c54-8d2b-2f20472764fa

                This is an open access article published by the IET under the Creative Commons Attribution License ( http://creativecommons.org/licenses/by/3.0/)

                History
                : 29 January 2019
                : 15 May 2019
                : 7 June 2019
                Page count
                Pages: 0
                Categories
                Research Article

                Software engineering,Data structures & Algorithms,Robotics,Networking & Internet architecture,Artificial intelligence,Human-computer-interaction
                bounded control,position control,constructed polynomial fuzzy model,positivity conditions,polynomials,co-positive Lyapunov function,stability,Lyapunov stability,nonlinear control systems,control signal conditions,Lyapunov methods,discrete-time positive polynomial-fuzzy-model-based control systems,control system synthesis,closed-loop polynomial fuzzy controller,discrete time systems,discrete-time polynomial-fuzzy-model-based control systems,corresponding membership functions,fuzzy control,positivity property,linear systems,closed loop systems,local sub-Lyapunov function candidates,fuzzy set theory,positivity constraint

                Comments

                Comment on this article