Semiglobal stabilization of linear discrete-time systems subject to input saturation via linear feedback - An ARE-based approach

IEEE Transactions on Automatic Control

Volumn 41, Issue 8, 1996, Pages 1203-1207

  Lin, Zongli ^a   Saberi, Ali ^b   Stoorvogel, Anton A ^c  

^a Stony Brook   (United States)

^b Washington State University   (United States)

^c EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; NUMERICAL METHODS; POLES AND ZEROS; RICCATI EQUATIONS; SYSTEM STABILITY;

ALGEBRAIC RICCATI EQUATION (ARE) METHODS; INPUT SATURATION; OPEN LOOP POLES; SEMIGLOBAL STABILIZATION;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0030211939     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.533685     Document Type: Article

References (15)

1. A. T. Fuller, "In the large stability of relay and saturated control systems with linear controllers," Int. J. Contr., vol. 15, pp. 486-505, 1977.
2. Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks," Syst. Contr. Lett., vol. 21, pp. 225-239, 1993.
3. _, "Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks," Syst. Contr. Lett., vol. 24, pp. 125-132, 1995.
4. Z. Lin, A. A. Stoorvogel, and A. Saberi, "Output regulation for linear systems subject to input saturation," Automatica, vol. 32, no. 1, pp. 29-47, 1996.
5. A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 368-378, 1996.
6. 2 Optimal Control. Englewood Cliffs, NJ: Prentice-Hall, 1995.
7. W. E. Schmitendorf and B. R. Barmish, "Null controllability of linear systems with constrained controls," SIAM J. Contr. Optimization, vol. 18, pp. 327-345, 1980.
8. E. D. Sontag, "An algebraic approach to bounded controllability of linear systems," Int. J. Contr., vol. 39, pp. 181-188, 1984.
9. E. D. Sontag and H. J. Sussmann, "Nonlinear output feedback design for linear systems with saturating controls," in Proc. 29th IEEE Conf. Decision Contr., 1990, pp. 3414-3416.
10. E. D. Sontag and Y. Yang, "Global stabilization of linear systems with bounded feedback," Rutgers Center Syst. Contr., Rep. SYCON-91-09, 1991.
11. H. J. Sussmann and Y. Yang, "On the stabilizability of multiple integrators by means of bounded feedback controls," Rutgers Center Syst. Contr., Rep. SYCON-91-01, 1991.
12. A. R. Teel, "Global stabilization and restricted tracking for multiple integrators with bounded controls," Syst. Contr. Lett., vol. 18, pp. 165-171, 1992.
13. _, "Semi-global stabilization of linear controllable systems with input nonlinearities," IEEE Trans. Automat. Contr., vol. 40, pp. 96-100, 1995.
14. Y. Yang, "Global stabilization of linear systems with bounded feedback," Ph.D dissertation, Rutgers Univ., 1993.
15. _, private communications, 1993.