On controllability and minimum energy control of linear positive systems with delays

• Autorzy: Sikora B.
• Języki publikacji: EN

Abstrakty

EN

The positive stationary dynamical systems with multiple delays in control are considered in the paper. the definition of the relative controllability for positive systems with delays and the criterions of their relative controllability are given. The minimum energy control problem for these systems is formulated and solved. Numerical examples illustrate the theoretical analysis. The example of real, technological positive dynamical system as a practical application of the theoretical results is presented.

Słowa kluczowe

EN

positive dynamical systems; delay systems; relative controllability; admissible control; minimum energy control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2003
• Tom: Vol. 13, no. 4
• Strony: 431--444
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Sikora B.

• Institute of Mathematics, Silesian University of Technology, Akademicka 16, Gliwice, Poland,

Bibliografia

• [1] D.P. Campbell: Dynamika procesów. PWN, Warsaw, 1962, (in Polish).
• [2] T. Kaczorek: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
• [3] T. Kaczorek: Reachability and minimum energy control of positive continuoustime linear systems. 6th Int. Conf. Methods and Models in Automation and Robotics, Miëdzyzdroje, Poland, (2000).
• [4] T. Kaczorek: Externally and internally positive time-varying linear systems. Int. J. Appl. Math. Comput. Sci., 11(4), (2001), 957-964.
• [5] J. Klamka: Controllability of dynamical systems. Kluwer Academic Publishers, Dordrecht, The Netherland, 1991.
• [6] J. Klamka: Reachability and controllability of positive continuous time linear systems with time variable coefficients. Bull. Pol. Acad. Techn. Sci., 49(4), (2001), 623-632.
• [7] W.L. Luyben: Process modeling, simulation and control for chemical engineers. McGraw-Hill, Chemical Engineering Series, International Editions, 1990.
• [8] H. Minc: Nonnegative matrices. J.Wiley, New York, 1988.
• [9] B. Sikora: Sterowalno´s´c liniowych układów dynamicznych z opóźnieniami w sterowaniu przy ograniczeniach na sterowanie. Zeszyty Naukowe Politechniki Sl., Automatyka, 122 (1998), 183-197, (in Polish).
• [10] B. Sikora: Relative controllability of positive systems with delays. Zeszyty Naukowe Politechniki Sl., Automatyka, 133 (2001), 119-128.