Repetitive Optimization for Predictive Control of Dynamic Systems under Uncertainty

  • Krzysztof Malinowski
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 115)


Control of dynamic systems by repetitive on-line use of optimization is considered. A basic predictive control scheme and a modified scheme based on two-stage optimization are presented. The paper focuses on important issues related to the one-stage and two-stage controllers. Application is presented for flood control of large reservoirs together with a brief summary of extensive simulation experiments. Those experiments consisted of the simulation of over fifty control sessions for each version of the control mechanism.


Reservoir Operation Control Rule Control Session Prediction Horizon Predictive Control Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Balchen J.G., D. Ljungquist and S. Strand 1992, State-Space Predictive Control, J. Chemical Engineering Science, Vol. 47, No. 4, pp. 787–807.CrossRefGoogle Scholar
  2. [2]
    Chen C.C. and L. Shaw 1982, On Receding Horizon Feedback Control, Auto-matica (GB), Vol. 18, pp. 349–353.MathSciNetzbMATHGoogle Scholar
  3. [3]
    Findeisen W., F.N. Bailey, M. Brdyś, K. Malinowski, P. Tatjewski and A. Woźniak 1980, Control and Coordination in Hierarchical Systems, Wiley, London.zbMATHGoogle Scholar
  4. [4]
    Karbowski A. 1991, Optimal Control of Single Retention Reservoir During Flood; Analytical Solution of Deterministic, Continuous-Time Problems, J. Optim. Theory and Appl., 69(1), pp. 55–81.MathSciNetzbMATHCrossRefGoogle Scholar
  5. [5]
    Karbowski A., K. Malinowski and E. Niewiadomska-Szynkiewicz 1992, Application of Stochastic Inflow Forecast to Real-Time Flood Control in Single Reservoir Systems, manuscript, submitted for publication, Instytut Automatyki, Politechnika Warszawska.Google Scholar
  6. [6]
    Karbowski A. 1991, Decision Support System for Reservoir Operators During Flood, Environmental Software, 6(1), pp. 11–15.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Keyser de R.M., G.A. Van der Velde, F.A. Dumortier 1988, A Comparative Study of Self-Adaptive Long-Range Predictive Control Methods, Automatica, 24, pp. 149–163.zbMATHCrossRefGoogle Scholar
  8. [8]
    Malinowski K. and J. Żelaziński 1990, Reservoir Systems: Operational Flood Control, in Systems and Control Encyclopedia, Supplementary Volume 1, Pergamon Press.Google Scholar
  9. [9]
    Mayne D.Q. and H. Michalska 1990, Receding Horizon Control of Nonlinear Systems, IEEE Trans. AC, 35, pp. 814–824.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Verlag Basel 1994

Authors and Affiliations

  • Krzysztof Malinowski
    • 1
  1. 1.Institute of Automatic ControlWarsaw University of TechnologyWarszawaPoland

Personalised recommendations