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Minimum variance control of discrete-time and continuous-time LTI MIMO systems - a new unified framework

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents a new uniform framework for solving the problem of minimum variance control of both discrete-time and continuous-time linear time-invariant multi-input multi-output systems described by general input-output models. Rather surprisingly, it is shown that the continuous-time case can be analyzed and synthesized without the necessity of involving the celebrated (and rather complex) theory of output predictor emulation, so that quite similar, simple solution is obtained like for the well-known discrete-time case.
Rocznik
Strony
609--624
Opis fizyczny
Bibliogr. 33 poz., wykr.
Twórcy
autor
  • Institute of Control and Computer Engineering, Opole University of Technology, ul. Sosnkowskiego 31, 45-272 Opole, Poland, w.hunek@po.opole.pl
Bibliografia
  • ÅSTRÖM, K.J. (1970) Introduction to Stochastic Control Theory. Academic Press, New York.
  • ÅSTRÖM, K.J. and WITTENMARK, B. (1973) On self-tuning regulators. Automatica 9 (2), 185-190.
  • BITMEAD, R.R., GEVERS, M. and WERTZ, V. (1990) Adaptive Optimal Control: The Thinking Man’s GPC. Prentice-Hall Englewood Cliffs, NJ.
  • BORISSON, U. (1979) Self-tuning regulators for a class of multivariable systems. Automation 15 (2), 209-215.
  • CLARKE, D.W. and GAWTHROP, P. J. (1975) Self-tuning controller. Proceedings IEE 122 (9), 929-934.
  • CLARKE, D.W. and GAWTHROP, P.J. (1979) Self-tuning control. Proceedings IEE 126 (6), 633-640.
  • CLARKE, D.W. and MOHTADI, C. (1989) Properties of generalized predictive control. Automatica, 25 (6), 859-875.
  • DEMIRCIOĞLU, H. (1989) Continuous-Time Self-Tuning Algorithms. PhD thesis, Faculty of Engineering, University of Glasgow, Glasgow, Scotland, UK.
  • DEMIRCIOĞLU, H. and GAWTHROP, P.J. (1991) Continuous-time generalized predictive control (CGPC). Automatica 27 (1), 55-74.
  • DEMIRCIOĞLU, H. and GAWTHROP, P.J. (1992) Multivariable continuous-time generalized predictive control (MCGPC). Automatica 28 (4), 697-713.
  • DEMIRCIOĞLU, H. and GAWTHROP, P.J. (2002) Private communication.
  • GAWTHROP, P.J. (1987) Continuous-Time Self-Tuning Control, Volume I - Design. John Wiley Sons Inc., New York.
  • GAWTHROP, P.J. (1990) Continuous-Time Self-Tuning Control, Volume II - Implementation. John Wiley Sons Inc., New York.
  • GAWTHROP, P.J., JONES, R.W. and SBARBARO, D.G. (1996) Emulator-based control and internal model control: complementary approaches to robust control design. Automatica 32 (8), 1223-1227.
  • GRIMBLE, M.J. (1979) Solution of the stochastic optimal control problem in the s-domain for systems with time delay. Proceedings IEE 126 (7), 697-704.
  • GRIMBLE, M.J. (1980) The solution of finite-time optimal control problems with control time delays. Optimal Control Applications and Methods 1 (3), 263-277.
  • HOLST, P.A. (1969) Padé approximations and analog computer simulations of time delays. Simulation 12 (6), 277-290.
  • HUNEK, W.P. (2003) Control Zeros for Continuous-Time LTI MIMO Systems and Their Application in Theory of Circuits and Systems (in Polish). PhD thesis, Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.
  • HUNEK, W.P. (2008) Towards robust minimum variance control of nonsquare LTI MIMO systems. Archives of Control Sciences 18 (1), 59-71.
  • HUNEK, W.P., LATAWIEC, K.J. and ŁUKANISZYN, M. (2006) An inverse-free approach to minimum variance control of LTI MIMO systems. In: Proceedings of the 12th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR’2006), Międzyzdroje, Poland, 373-378.
  • HUNEK, W.P., LATAWIEC, K.J. and STANISŁAWSKI, R. (2007) New results in control zeros vs. transmission zeros for LTI MIMO systems. In: Proceedings of the 13th IEEE IF AC International Conference on Methods and Models in Automation and Robotics (MMAR’2007), Szczecin, Poland, 149-153.
  • KEVICZKY, L. and HETTHESSY, J. (1977) Self-tuning minimum variance control of MIMO discrete time systems. Automatic Control Theory and Applications, 5 (1), 11-17.
  • KOIVO, H.N. (1979) A Multivariable Self-Tuning Controller. Tampere University of Technology Press, Finland.
  • KOWALCZUK, Z. and SUCHOMSKI, P. (1997) Continuous-time predictive control of delay systems. In: Proceedings of the 4th International Symposium on Methods and Models in Automation and Robotics (MMAR’1997), Międzyzdroje, Poland, 461-470.
  • LATAWIEC, K.J. (1998) Contributions to Advanced Control and Estimation for Linear Discrete-Time MIMO Systems. Opole University of Technology Press, Opole, Poland.
  • LATAWIEC, K.J. (2004) The Power of Inverse Systems in Linear and Nonlinear Modeling and Control. Opole University of Technology Press, Opole, Poland.
  • LATAWIEC, K.J. (2005) Control zeros and maximum-accuracy/maximum-speed control of LTI MIMO discrete-time systems. Control and Cybernetics 34 (2), 453-475.
  • LATAWIEC, K.J., BAŃKA, S. and TOKARZEWSKI, J. (2000) Control zeros and nonminimum phase LTI MIMO systems. Annual Reviews in Control (IFAC Journal) 24 (1), 105-112.
  • LATAWIEC, K.J. and HUNEK, W.P. (2002) Control zeros for continuous-time LTI MIMO systems. In: Proceedings of the 8th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR’2002), Szczecin, Poland, 411-416.
  • LATAWIEC, K.J., HUNEK, W.P. and ADAMEK, B. (2005) A new uniform solution of the minimum variance control problem for discrete-time and continuous-time LTI MIMO systems. In: Proceedings of the 11th IEEE International Conf. on Methods and Models in Automation and Robotics (MMAR’2005), Międzyzdroje, Poland, 339-344.
  • LATAWIEC, K.J., HUNEK, W.P. and ŁUKANISZYN, M. (2004) A new type of control zeros for LTI MIMO systems. In: Proceedings of the 10th IEEE International Conf. on Methods and Models in Automation and Robotics (MMAR’2004), Międzyzdroje, Poland, 251-256.
  • LATAWIEC, K.J., HUNEK, W.P. and ŁUKANISZYN, M. (2005) New optimal solvers of MVC-related linear matrix polynomial equations. In: Proceedings of the 11th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR’2005), Międzyzdroje, Poland, 333-338.
  • MOIR, T.J. and GRIMBLE, M.J. (1986) Weighted minimum variance controller for nonsquare multivariable systems. IEEE Transactions on Automatic Control 31 (10), 976-977.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0041-0008
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