PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Robust PI controller design for an uncertain recycle system

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a method is proposed for design of a robust controller for interval process systems in the presence of parametric uncertainties. The method uses a necessary condition and sufficient condition for stability of interval polynomial. These conditions are used to derive a set of inequalities in terms of the compensator parameters which can be solved to obtain a robust controller. The method proposed is simple, involves less computational complexity and provides an easy way to obtain a robust compensator. It is applied to design a robust proportional-integral controller for a recycle system in the presence of process gain uncertainties. The results show the efficacy of the proposed method.
Czasopismo
Rocznik
Strony
63--74
Opis fizyczny
Bibliogr. 25 poz., wykr.
Twórcy
autor
  • College of Engineering and Technology, Vishnupuri, Nanded-431606, India
autor
  • College of Engineering and Technology, Vishnupuri, Nanded-431606, India
Bibliografia
  • [1] Patre B. M.. Deore; P. J., Robust stabilization of interval plants. European Control Conference, ECC03, University of Cambridge, U.K.. Sept. 2003.
  • [2] Goh C. J. Lim C. C.. Teo K. L., Clements D. J., Robust controller design for systems with interval parameter design. Problems of Control and Information Theory. Vol. 18. 1989, 323-338.
  • [3] Rotstkin H., Bandoni J., Desages A., Romagnoli J., Mathematical Programming with linear uncertain constraints - Application to robust control, Computers and Chemical Engineering, Vol. 14, 1990, 373-379.
  • [4] Bernstein D. S., Hadded W. M., Robu.st controller synthesis using Kharitonov's theorem, IEEE Trans. Automatic Control, Vol. 37, 1992, 129-132.
  • [5] Chen C. T., Wang M. D., Robust controller design for interval process .systems. Computers and Chemical Engineering, Vol. 21, 1997. 739-7."iO.
  • [6] Chen C. T.. Wang M. D.. A two-degrees-of-freedom design methodology for interval process .systems. Computers and Chemical Engineering. Vol. 23. 2000. 1745-1751.
  • [7] Dahleh M., Tesi A., Vicino A., An overview of external properties for robust control of interval plants. Automatica. Vol. 29. 1993. 707-721.
  • [8] Bhattachrya S. P., Robust stabilization against structured perturbations. Led. Notes in Control and Information Sciences, Vol. 99, Springer Verlag, Berlin 1987.
  • [9] Bhattachrya S. P.,Chapelett H., Kee.L L. H., Robust control: The parametric approach. Prentice Hall, Inc., NJ 1995
  • [10] Dorato p. (cd.). Robust Control. IEEE Press. NY 1987.
  • [11] Dorato P., Yedavau.i R. K. (eds.), Recent advances in robust control. IEEE Press, NY 1990.
  • [12] Kiiaritonov V. L., Asymptotic stability of an equlibrium position of a family of systems of linear differential equations, Differential ‘nye Uravneniya. Vol. 14. No. II, 1978, 2086-2088, English translation. Differential Equations, Vol. 14. 1979, 1483-1485.
  • [13] Barmish B. R.. a generaliiUtion of Kharitonov's four polynomial concept for robust stability problems with linearly dependetu coefficient perturbations. IEEE Trans. Automatic Control, Vol. 34. 1989 157-165).
  • [14] Bartle it a. C., Hollo C. V., Huang L., Root location of an entire polytope of polynomials: it suffices to check edges. Mathematics of Control, Signals and Systems, Vol. 1, 1988, 61-71.
  • [15] Son Y. C., Evans R. J., Petersen I. R., Betz R. E.. Robust pole assignment, Automatica, Vol. 23, 1987,601-610.
  • [16] Ghosh B. K., Some new results on the simultaneous stabilization of a family of single input, single output systems. Systems and Control Letters, Vol. 6. 1985, 39-45.
  • [17] Hollot C. V. Fang F., Robust stabilization of interval plants using lead or lag compensators. Systems and Control Letters. Vol. 14. 1990. 9-12.
  • [18] Barmish B. R., Hollot C. V., Kraus F. J., Tempo R., Extreme point results for robust stabilization of interval plants with first order compensator. IEEE Trans. Automatic Control. Vol. AC-37, 1992. 707-714.
  • [19] Barmish B. R.B. R., Kang H. I., A survey of extreme point results for robustness of control systems. Automatica. Vol. 29, No. 1, 1993, 13-35.
  • [20] Nie Y. Y., a new class of criterion for the stability of the polynomials. Acta Mechanica Sinica. 1976. 110-116.
  • [21] Denn M. M., Dynamics of the plants with recycle. The Chemical Engineering Journal, Vol. 24, 1982, 55-59.
  • [22] Luyben W. L., Dynamics and control of recycle systems, I. Simple open loop and closed loop systems. Industrial Engineering Chemical Research, Vol. 32, 1993, 466-475.
  • [23] Taiwo O., The design of robust control systems for plants with recycle. International Journal of Control, Vol. 43, 1986, 671-678.
  • [24] Dorf R. C., Bishop R. H., Modern Control Systems, 8th ed.. First Indian Reprint, Addison-Wesley, 1999.
  • [25] Mathworks Inc., Matlab: Users Guide, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0046
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.