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Adaptive control for a jump linear system with quadratic cost

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Języki publikacji
EN
Abstrakty
EN
The adaptive control problem for a jump linear system with quadratic cost functional on infinite time interval is solved in this paper. It is assumed that the coefficients of the state equation are unknown but a compact set that contains the parameters is known. A diminishing excitation accompanies the adaptive control signal, to ensure the strong consistency of the weighted least squares algorithm.
Rocznik
Strony
51--69
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Department of Automatic Control, Silesian Technical University, ul. Akademicka 16, 44-101 Gliwice, Poland
Bibliografia
  • Blom, H.A.P. (1990) Bayesian Estimation for Decision-Directed Stochastic Control. Technical Univ. Delft, Amsterdam, The Netherlands.
  • Boukas, E.K.and Haurie, A. (1990) Manufacturing Flow Control and Preventive Maintenance: A Stochastic Control Approach. IEEE Transactionson Automatic Control 35(9), 1024-1031 .
  • Costa, O.L.V.and Fragoso, M.D. (1995) Discrete-Time LQ-Optimal Control Problems for Infinite Markov Jump Parameter Systems. IEEE Transactions on Automatic Control 40(12), 2076-2088.
  • Costa, M.D.and Fragoso, M.D. (1993) Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters. Journal of Mathematical Analysis and Applications 179(1), 154-178, October.
  • Chen, H.F. (1985 ) Estimation and Control for Stochastic Systems. Wiley,New York.
  • Chen, H.F.and Guo, L. (1986) Optimal Stochastic Adaptive Control With Quadratic Index. International Journal on Control 43, 869-881.
  • Czornik, A. and Świerniak, A. (2002) Continuity of the Solution of the Riccati Equations for Discrete Time JLQP. International Journal of Applied Mathematics and Computer Science12(4), 101-105.
  • Czornik, A., Nawrat, A.and Świerniak, A. (2002) On the sensitivity of the coupled continuous-time Riccati equation.European Journal of Control 8(6), 497-504.
  • Dufour, F.and Elliott, R. (1998) Adaptive Control for Linear Systems with Markov Perturbations. IEEE Transactions on Automatic Control, 43(3), 351-372.
  • Duncan, T.E., Guo, L. and Pasik-Duncan, B. (1999) Adaptive Continous-Time Linear Quadratic Gaussian Control. IEEE Transactions on Automatic Control 44(9), 1653-1662.
  • Guo, L. (1996) Self-Convergence of Weighted Least-Square with Applicationsto Stochastic Adaptive Control. IEEE Transactions on Automatic Control 41(1), 79-89.
  • Guo, L.and Chen, H.F. (1991) The Astrom-Wittenmark Self-Tuning Regulator Revised and ELS-Based Adaptive Trackers. IEEE Transactions on Automatic Control 36(7), 802-812.
  • Ji, Y., Chizeck, H.J., Feng, X.and Loparo, K.A. (1991) Stability and Control of Discrete-Time Jump Linear Systems.Control Theory and Advanced Technology 7, 247-270.
  • Pan, G.and Bar-Shalom, Y. (1996) Stabilization of Jump Linear Gaussian Systems without Mode Observations.International Journal of Control 64(4), 631-661.
  • Prandini, M.and Campi, M.C. (2001) Adaptive LQG Control of Input-Out-put Systems-A Cost-Biased Approach.SIAM Journal on Control and Optimization 39(5), 1499-1519.
  • Siljak, D.D. (1980) Reliable Control Using Multiple Control Systems. International Journal on Control 31(2), 303-329.
  • Świerniak, A., Simek, K. and Boukas, E.K. (1998) Intelligent Robust Control of Fault Tolerant Systems. In: H.E. Rauch, eds.,Artificial Intelligence in Real-Time Control 1997, Elsevier, 245-248.
  • Sworder, D. D.and Rogers, R. O. (1983) An LQ-solution to a Control Problem Associated with Solar Thermal Central Receiver. IEEE Transactions on Automatic Control 28, 971-978.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0041
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