• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Stabilization and disturbance rejection for the wave equation

      Thumbnail
      View / Download
      230.3 Kb
      Author(s)
      Morgül, Ö.
      Date
      1998-01
      Source Title
      IEEE Transactions on Automatic Control
      Print ISSN
      0018-9286
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      43
      Issue
      1
      Pages
      89 - 95
      Language
      English
      Type
      Article
      Item Usage Stats
      206
      views
      235
      downloads
      Abstract
      We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function of the complex variable s and may contain a single pole at the origin and a pair of complex conjugate poles on the imaginary axis, provided that the residues corresponding to these poles are nonnegative; the rest of the transfer function is required to be a strictly positive real function. We then show that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer function appropriately. We also present some numerical simulation results which support this argument.
      Keywords
      Boundary control systems
      Distributed parameter systems
      Disturbance rejection
      Semigroup theory
      Stability
      Asymptotic stability
      Boundary conditions
      Closed loop control systems
      Computer simulation
      Distributed parameter control systems
      Poles and zeros
      Transfer functions
      Disturbance rejection
      Linear wave equation
      Semigroup theory
      System stability
      Permalink
      http://hdl.handle.net/11693/25328
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/9.654893
      Collections
      • Department of Electrical and Electronics Engineering 4012
      Show full item record

      Related items

      Showing items related by title, author, creator and subject.

      • Thumbnail

        Design of a switched robust control scheme for drug delivery in blood pressure regulation 

        Ahmed, S.; Özbay, Hitay (Elsevier B.V., 2016)
        A control algorithm based on switching robust controllers is presented for a Linear Parameter Varying (LPV) time-delay system modeling automatic infusion of vasodilator drug to regulate postsurgical hypertension. The system ...
      • Thumbnail

        Adaptive control design for nonlinear systems via successive approximations 

        Babaei, N.; Salamcı, M. U.; Karakurt, Ahmet Hakan (ASME, 2017)
        The paper presents an approach to the Model Reference Adaptive Control (MRAC) design for nonlinear dynamical systems. A nonlinear reference system is considered such that its response is designed to be stable via Successive ...
      • Thumbnail

        Adaptive robust sampled-data control of a class of systems under structured perturbations 

        Yu, R.; Ocali, O; Sezer, E. S. (IEEE, 1993)
        Robust adaptive sampled-data control of a class of linear systems under structured perturbations is considered. The controller is a time-varying state-feedback law having a fixed structure, containing an adjustable parameter, ...

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the User and Access Services. Phone: (312) 290 1298
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy