Robust State Feedback Stabilization of Discrete-Time Uncertain Dynamical Systems

IEEE Transactions on Automatic Control

Volumn 33, Issue 9, 1988, Pages 887-891

  Zak, Stanislaw H ^b  

^a UNIVERSITY OF ALABAMA   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS -- ROBUSTNESS;

DISCRETE-TIME DYNAMIC SYSTEM; ROBUST STABILIZATION; STATE FEEDBACK STABILIZATION;

CONTROL SYSTEMS, DISCRETE TIME;

EID: 0024068991     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.1326     Document Type: Article

References (13)

1. J. Manela, “Deterministic control of uncertain linear discrete and sampled-data systems,” Ph.D. dissertation, Univ. Calif., Berkeley, 1985.
2. I. R. Peterson, “Structural stabilization of uncertain systems: Necessity of the matching condition,” SIAM J. Cont. Optimiz., vol. 23, pp. 286–296, Mar. 1985.
3. R. E. Kalman and J. E. Bertram, “Control system analysis and design via the “second method” of Lyapunov II discrete-time systems,” Trans. ASME, J. Basic Eng., vol. 82, pp. 394–400, June 1960.
4. D. G. Luenberger, Linear and Nonlinear Programming. 2nd ed. Reading, MA: Addison-Wesley, 1984.
5. M. J. Corless and G. Leitmann, “Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 1139–1144, Oct. 1981.
6. M. Corless and J. Manela, “Control of uncertain discrete-time systems,” in Proc. Amer. Contr. Conf., Seattle, WA, June 1986, pp. 515–520.
7. W. Hahn, “Uber die Anwendung der Methode von Ljapunov auf Differenzengleichungen,” Mathematische Annalen, vol. 136, no. 1, pp. 430-441, Aug. 1958.
8. A. R. Bergen and J. R. Ragazzini, “Sampled-data processing techniques for feedback control systems,” Appl. Industry, Nov. 1954.
9. E. I. Jury, “On the history and progress of sampled-data systems,” IEEE Contr. Syst. Mag., vol. 7, no. 1, pp. 16–21, 1987.
10. K. Ogata, Discrete-Time Control Systems. Englewood Cliffs, NJ: Prentice-Hall, 1987.
11. C. Milosavljevic, “General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems,” Automat. Remote Contr., vol. 46, no. 3, pp. 307–314, 1985.
12. B. R. Barmish, M. Corless, and G. Leitmann, “A new class of stabilizing controllers of uncertain dynamical systems,” SIAM J. Contr. Optimiz., vol. 21, pp. 246–255, Mar. 1983.
13. I. M. Gelfand, Lectures on Linear Algebra. New York: Interscience, 1961.