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Hybrid modelling and performance evaluation of switched discrete-event systems

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Języki publikacji
EN
Abstrakty
EN
Motivated by the integrated complexity of real-time intelligent control and optimization of industrial/manufacturing processes, this paper discusses hybrid modelling and asymptotic periodic behavior of a class of switched discrete event systems, and shows how to evaluate the asymptotic performance/efficiency of such systems. We prove that, under some mild conditions, the switched discrete event system will achieve asymptotic periodic dynamics, and its performance/efficiency can be evaluated by calculating the eigenvalue of certain matrix in max-plus algebra. Illustrative examples are provided.
Rocznik
Strony
311--321
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Intelligent Control Laboratory, Center for Systems and Control Department of Mechanics and Engineering Science Peking University Beijing 100871, China
Bibliografia
  • Cheng, Wu (2000) Keynote Speech: Contemporary Integrated Manufacturing Systems (CIMS) and Their Systems/Control Challenges. Proceedingsof the 19th Chinese Control Conference, Hong Kong, China, 1-3.
  • Cohen, G., Moller, P., Quadrat, J.P. and Viot M. (1984) Linear System Theory for Discrete Event Systems. Proceedings of the 23rd IEEE Conference on Decision and Control, Las Vegas, NV, 539-544.
  • Cohen, G., Moller, P., Quadrat, J.P. and Viot, M. (1985) Linear System Theoretic View of Discrete Event Processes and its Use for Performance Evaluation in Manufacturing. IEEE Trans. on Automatic Control 30 (3), 210-220.
  • Cuninghame-Green, R. (1979) Minimax Algebra. Lecture Note in Economics and Mathematical Systems166, Berlin, Springer-Verlag.
  • Horn, R.A. and Johnson, C.R. (1990) Matrix Analysis. Cambridge, Cambridge University Press.
  • Kurek, J.E. (1985) The General State-Space Model for a Two-DimensionalLinear Digital System. IEEE Trans. on Automatic Control 30 (6), 600-602.
  • Liberzon, D. and Morse, A.S. (1999) Basic Problems in Stability and Design of Switched Systems. IEEE Control Systems Magazine19 (5), 59-70.
  • Ramadge, P.J. and Wonham, W.M. (1987) Supervisory Control of A Classof Discrete Event Processes. SIAM Journal on Control and Optimization 25 (1), 206-230.
  • Roesser, R.P. (1975) A Discrete State-Space Model for Linear Image Processing. IEEE Trans. on Automatic Control 20 (1), 1-10.
  • Wang, L. and Xie, G. (2002) Controllability of switched linear systems. IEEE Trans. on Automatic Control 47 (8), 1401 -1405.
  • Wang, L. and Xie, G. (2003a) Edge theorem for MIMO systems. IEEE Trans. on Circuits and Systems, 50 (12), 1577-1586.
  • Wang, L. and Xie, G. (2003b) Kharitonov-like theorems for robust performance of interval systems. Journal of Mathematical Analysis and Applications 279 (2), 430-441.
  • Wang, L. and Xie, G. (2003c) Controllability of switched time-delay systems under constrained switching. Journal of Mathematical Analysis and Applications 286 (2), 397-421.
  • Wang, L. and Xie, G. (2003d) Reachability realization and stabilizability of switched linear discrete-time systems. Journal of Mathematical Analysis and Applications 280 (1), 209-220.
  • Wang, L. and Xie, G. (2003e) Controllability and stabilizability of switched linear systems. Systems and Control Letters 48 (1), 135-155.
  • Wang, L. and Xie, G. (2004) LMI approach toL2-gain analysis and control synthesis of uncertain switched systems. IEE Proceedings—Control Theory and Applications 151 (1), 21-29.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0056
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