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Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system

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Języki publikacji
EN
Abstrakty
EN
In this paper, we study the steady-state of a semilinear pulse-width sampler controlled system on infinite dimensional spaces. Firstly, by virtue of Schauder's fixed point theorem, the existence of periodic solutions is given. Secondly, utilizing a generalized Gronwall inequality given by us and the Banach fixed point theorem, the existence and stabilizability of a steady-state for the semilinear control system with pulse-width sampler is also obtained. At last, an example is given for demonstration.
Rocznik
Strony
105--118
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Guizhou University Department of Mathematics Guiyang, Guizhou 550025, P.R. China, wjr9668@126.com
Bibliografia
  • [1] R. Teman, Infinite Dimensional Dynamical System in Mechanics and Physics, New York, 1988.
  • [2] D.S. Bernstein, C.V. Hollot, Robust stability for sampled-data control system, Systems Control Lett. 13 (1989), 217-226.
  • [3] H.X. Zhou, Q.L. Xu, A PMW temperature control system with a distributed parameter, Modeling, Simulation and Control 32 (1998), 53-64.
  • [4] Q.G. Li, Y. Zhao, Steady-state control of a class of parabolic pulse-wideth sampler systems, Control Theory and Applications 19 (2002), 516-520.
  • [5] L. Hou, A.N. Michel, Stability and analysis of Pulse-width-modulated feedback systems, Automatica 37 (2001), 1335-1349.
  • [6] F.M. Ai-sunni, S.H. Ai-amer, Robust control of sampled data systems, IEE Proc. Control Theory Application 145 (1998), 236-240.
  • [7] L.S. Hu, P. Shi, B. Huang, Stochastic stability and robust control for sampled-data systems with Markovian jump parameters, J. Math. Anal. Appl. 313 (2006), 504-517.
  • [8] A. Ilchmann, S. Townley, Adaptive sampling control of high-gainstabilizable systems, IEEE Trans. Automat. Control 44 (1999), 1961-1966.
  • [9] N. Ozdemir, Robust and adaptive sampled data I-control, Ph.D. thesis, University of Exeter, UK, 2000.
  • [10] N. Özdemir, S. Townley, Integral control by variable sampling based on steady-state data, Automatica 39 (2003), 135-140.
  • [11] Z. Kea, H. Logemanna, S. Townleyb, Adaptive sampled-data integral control of stable infinite-dimensional linear systems, Systems Control Lett. 58 (2009) 233-240.
  • [12] N.U. Ahmed, Semigroup Theory with Applications to System and Control, Longman Scientific Technical, New York, 1991.
  • [13] J.R. Wang, X. Xiang, Y. Peng, Periodic solutions of semilinear impulsive periodic system on Banach space, Nonlinear Anal. 71 (2009), e1344-e1353.
  • [14] Z.Z. Zhang, The bifurcation of solution of periodic evolution equation and application to PDE, Appl. Math. J. Chinese Univ. 5 (1990), 230-240.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0003-0031
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