Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control

Jiri Vojtesek Petr Dostal

Jiri Vojtesek, Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(3): 241-248. doi: 10.1007/s11633-014-0786-5
引用本文: Jiri Vojtesek, Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(3): 241-248. doi: 10.1007/s11633-014-0786-5
Jiri Vojtesek and Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control. International Journal of Automation and Computing, vol. 11, no. 3, pp. 241-248, 2014 doi:  10.1007/s11633-014-0786-5
Citation: Jiri Vojtesek and Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control. International Journal of Automation and Computing, vol. 11, no. 3, pp. 241-248, 2014 doi:  10.1007/s11633-014-0786-5

Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control

doi: 10.1007/s11633-014-0786-5
详细信息
    作者简介:

    Petr Dostal studied at the Technical University of Pardubice, Czech Republic, where he received his M. Sc. degree in automation of chemical processes in 1968 and the Ph. D. degree in technical cybernetics in 1979. In the year 2000, he became professor in process control from Technical University of Ostrava, the Czech Republic. He is now head of the Department of Process Control, Faculty of Applied Informatics of the Tomas Bata University in Zlin, the Czech Republic. He is author and co-author of about 300 refereed journal and conference papers. He is a member of the IFAC Technical Committee Adaptive and Learning Systems, and a member of the International Physics and Control Society IPACS. His research interests include modeling and simulation of continuous-time chemical processes, polynomial methods, optimal, adaptive and nonlinear control. E-mail: dostalp@fai.utb.cz

Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control

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  • 收稿日期:  2013-09-13
  • 修回日期:  2013-10-28

Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control

doi: 10.1007/s11633-014-0786-5
    作者简介:

    Petr Dostal studied at the Technical University of Pardubice, Czech Republic, where he received his M. Sc. degree in automation of chemical processes in 1968 and the Ph. D. degree in technical cybernetics in 1979. In the year 2000, he became professor in process control from Technical University of Ostrava, the Czech Republic. He is now head of the Department of Process Control, Faculty of Applied Informatics of the Tomas Bata University in Zlin, the Czech Republic. He is author and co-author of about 300 refereed journal and conference papers. He is a member of the IFAC Technical Committee Adaptive and Learning Systems, and a member of the International Physics and Control Society IPACS. His research interests include modeling and simulation of continuous-time chemical processes, polynomial methods, optimal, adaptive and nonlinear control. E-mail: dostalp@fai.utb.cz

摘要: Most of the processes in the industry have nonlinear behavior. Control of such processes with conventional control methods could lead to unstable, suboptimal, etc., results. On the other hand, the adaptive control is a technique widely used for controlling of nonlinear systems. The approach here is based on the recursive identification of the external linear model as a linear representation of the originally nonlinear system. The controller then reacts to the change of the working point or disturbances which could occur by the change of the parameters, structure, etc. The polynomial synthesis together with the linear quadratic (LQ) approach is employed here for the controller synthesis. These techniques satisfy basic control requirements such as the stability, the reference signal tracking and the disturbance attenuation. Resulted controller could be tuned with the choice of weighting factors in LQ approach. This work investigates the effect of these factors on control results. Proposed methods are tested on the mathematical model of the isothermal continuous stirred-tank reactor and simulated results are also verified on the real model of the continuous stirred tank reactor.

English Abstract

Jiri Vojtesek, Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(3): 241-248. doi: 10.1007/s11633-014-0786-5
引用本文: Jiri Vojtesek, Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2014, 11(3): 241-248. doi: 10.1007/s11633-014-0786-5
Jiri Vojtesek and Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control. International Journal of Automation and Computing, vol. 11, no. 3, pp. 241-248, 2014 doi:  10.1007/s11633-014-0786-5
Citation: Jiri Vojtesek and Petr Dostal. Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control. International Journal of Automation and Computing, vol. 11, no. 3, pp. 241-248, 2014 doi:  10.1007/s11633-014-0786-5
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