PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Towards robust minimum variance control of nonsquare LTI MIMO systems

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents a new contribution of the so-called control zeros to robustification of the minimum variance control strategy for nonsquare LTI MIMO systems. A plethora of new, MVC-related inverses of nonsquare polynomial matrices are analytically presented, which give rise to generation of various control zeros. Possible detrimental effects of unstable control zeros can be eliminated making use of a new, pole-free MVC design methodology, but on the other hand, one can take advantage of stable control zeros in a new, minimum-energy design of robust MVC. Thus, control zeros are shown to essentially complement the transmission zero-based Davison's theory of minimum phase nonsquare LTI MIMO systems.
Rocznik
Strony
59--71
Opis fizyczny
Bibliogr. 34 poz., rys., wzory
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
  • [1] K. J. ÅSTRÖM: Introduction to stochastic control theory. Academic Press, New York, 1970.
  • [2] K. J. ÅSTRÖM: On self-tuning regulators. Automatica, 9 (1973), 185-190.
  • [3] R. R. BITMEAD, M. GEVERS and V. Wertz: Adaptive optimal control: The thinking man's GPC. Prentice-Hall, Englewood Cliffs, New Jersey, 1990.
  • [4] U. BORISSON: Self-tuning regulators for a class of multivariable systems. Automatica, 15 (1979), 209-215.
  • [5] D. W. CLARKE and P. J. Gawthrop: Self-tuning controller. Proc. IEE, 122(9), (1975), 929-934.
  • [6] D. W. CLARKE and P. J. Gawthrop: Self-tuning control. Proc. IEE, 126(6) (1979), 633-640.
  • [7] D. W. CLARKE and C. Mohtadi: Properties of generalized predictive control. Automatica, 25 (1989), 859-875.
  • [8] E. J. DAVISON: Some properties of minimum phase systems and 'squared-down' systems. IEEE Trans. on Automatic Control, 28(2), (1983), 221-222.
  • [9] H. DEMIRCIOGLU, P. JGAWTHROP: Continuous-time generalized predictive control (CGPC). Automatica. 27(1), (1991), 55-74.
  • [10] H. DEMIRCIOGLU and P. J. Gawthrop: Multivariable continuous-time generalized predictive control (MCGPC). Automatica, 28 (1992), 697-713.
  • [11] W. P. HUNEK: Control zeros for continuous-time LTI MIMO systems and their application in theory of circuits and systems (in Polish). Ph.D. thesis, Opole University of Technology, Department of Electrical, Control and Computer Engineering 2003.
  • [12] W. P. HUNEK: A robust approach to the minimum variance control of LTI MIMO systems. Emerging Technologies, Robotics and Control Systems 2 (2007), 133-138; also in Mt. J. Factory Automation, Robotics and Soft Computing 2 (2007), 191-196.
  • [13] W. P. HUNEK and K. J. Latawiec: An inverse-free approach to minimum variance control of LTI MIMO systems. Proc. 12th IEEE Mt. Conf. Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2006), 373-378.
  • [14] W. P. HUNEK and K. J. Latawiec: New results on minimum phase systems. Proc. 16th National Automatic Control Conference, Szczyrk, Poland, (2008), (to appear).
  • [15] W. P. HUNEK and K. J. Latawiec: Minimum variance control of discrete-time and continuous-time LTI MIMO systems - a new unified framework. Control and Cybernetics, (submitted).
  • [16] W. P. HUNEK and K. J. Latawiec: A new simple design of robust minimum variance control for nonsquare LTI MIMO systems. Recent Advances in Control Systems, Robotics and Automation - Second edition. ISBN: 978-88-901928-3-8, 200-203; also in Int. J. Factory Automation, Robotics and Soft Computing, ISSN: 1828-6984, 101-104.
  • [17] W. P. HUNEK and K. J. Latawiec: A Smith-factorization approach to robust minimum variance control of nonsquare LTI MIMO systems. New Approaches in Automation and Robotics. ISBN: 978-3-902613-26-4, (to appear).
  • [18] W. P. HUNEK, K. J. LATAWIEC and R. Stanislawski: New results in control zeros vs. transmission zeros for LTI MIMO systems. Proc. 13th IEEE IFAC Int. Corn". Methods and Models in Automation and Robotics, Szczecin, Poland, (2007), 149-153.
  • [19] T. KACZOREK and R. Łopatka: Existence and computation of the set of positive solutions to polynomial matrix equations. Int. J. Applied Mathematics and Computer Science 10(2) (2000), 309-320.
  • [20] L. KEVICZKY and J. Hetthessy: Self-tuning minimum variance control of MIMO discrete time systems. Automatic Control Theory and Applications, 5 (1977), 11-17.
  • [21] H. N. Koivo: A multivariable self-tuning controller. Tech. Rep. ISBN 951-720-416-7, Tampere University of Technology 1979.
  • [22] K. J. LATAWIEC: Contributions to Advanced Control and Estimation for Linear Discrete-Time MIMO Systems. Opole University of Technology Press, Opole, 1998.
  • [23] K. J. LATAWIEC: The power of inverse systems in linear and nonlinear modeling and control. Opole University of Technology Press, Opole, 2004.
  • [24] K. J. LATAWIEC: Control zeros and maximum-accuracy/maximum-speed control of LTI MIMO discrete-time systems. Control and Cybernetics, 34(2), (2005), 453-475.
  • [25] K. J. LATAWIEC, S. BASIKA and J. Tokarzewski: Control zeros and nonminimum phase LTI MIMO systems. Annual Reviews in Control 24 (2000), 105-112; also in Proc. of the IFAC World Congress, D Beijing, P.R. China, (1999), 397-404.
  • [26] K. J. LATAWIEC and W. P. Hunek: Control zeros for continuous-time LTI MIMO systems. Proc. 8th IEEE Int. Conf. Methods and Models in Automation and Robotics, Szczecin, Poland, (2002), 411-416.
  • [27] K. J. LATAWIEC and W. P. Hunek: Inverses of polynomial matrices versus minimum variance control (in Polish). Proc. 15th National Automatic Control Conference, 1 Warsaw, Poland, (2005), 309-314.
  • [28] K. J. LATAWIEC, W. P. HUNEK and B. Adamek: A new uniform solution of the minimum variance control problem for discrete-time and continuous-time LTI MIMO systems. Proc. I I th IEEE Int. Conf. Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2005), 339-344.
  • [29] K. J. LATAWIEC, W. P. HUNEK and M. Lukaniszyn: A new type of control zeros for LTI MIMO systems. Proc. 10th IEEE Int. Conf. Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2004), 251-256.
  • [30] K. J. LATAWIEC, W. P. HUNEK and M. Lukaniszyn: New optimal solvers of MVCrelated linear matrix polynomial equations. Proc. 11th IEEE Int. Conf Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2005), 333-338.
  • [31] K. J. LATAWIEC, W. P. HUNEK, R. STANISŁAWSKI and M. Łukaniszyn: Control zeros versus transmission zeros intriguingly revisited. Proc. 9th IEEE Int. Conf. Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2003), 449-454.
  • [32] T. J. MOIR and M. J. Grimble: Weighted minimum variance controller for nonsquare multivariable systems. IEEE Trans. Automatic Control, 31(10), (1986), 976-977.
  • [33] J. TOKARZEWSKI: Relationship between Smith zeros and invariant zeros in linear systems. Archives of Control Sciences, 14(1), (2004), 15-26.
  • [34] J. TOKARZEWSKI: A note on zeros, output-nulling subspaces and zero-dynamics in MIMO LTI systems. Archives of Control Sciences, 14(2), (2004), 179-200.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0045-0004
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.