On stabilization of linear systems with stochastic disturbances and input saturation

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2004, Pages 3007-3012

  Stoorvogel, Anton ^a,b   Weiland, Siep ^a   Saberi, Ali ^c  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c Washington State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; FUNCTIONS; PROBABILITY; PROBLEM SOLVING; RICCATI EQUATIONS; SCHEDULING; STOCHASTIC CONTROL SYSTEMS;

CONTINOUS TIME SYSTEMS; GLOBAL ASYMPTOTIC STABILITY; SCHEDULING PARAMETERS; STOCHASTIC DISTURBANCE;

LINEAR CONTROL SYSTEMS;

EID: 14244254518     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1428925     Document Type: Conference Paper

References (12)

1. ∞, optimal control and related minimiax design problems: a dynamic game approach," Birkhäuser, Boston, (2nd edition), 1995.
2. A.T. Fuller, "In the large stability of of relay and saturated control systems with linear controllers," International Journal on Control, Vol. 15, pp. 486-505, 1977.
3. Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete time systems subject ot input saturation," Systems and Control Letters, Vol. 24, pp. 125-132, 1995.
4. Z. Lin, A. Saberi and A.A. Stoorvogel, "Semiglobal stabilization of linear discrete-time systems subject to input saturation via linear feedback: an ARE-based approach," IEEE TAC, Vol. 41:8, pp. 1203-1207, 1996.
5. B. Øksendal, "Stochastic differential equations," Springer, 1980.
6. p) performance with global internal stability for linear systems with actuators subject to amplitude and rate saturations," Proc. American Control Conference, Chicago, 2000.
7. E.D. Sontag and H.J. Sussmann, "Nonlinear output feedback design for linear systems with saturating controls," Proceedings 29th IEEE CDC, 1990, pp. 3414-3416
8. E.D. Sontag, "Comments on integral variants of ISS", Systems and Control Letters, Vol. 34, pp. 93-100, 1998.
9. E.D. Sontag and Y. Wang, "On characterization of the input-to-state stability", Systems and Control Letters, Vol. 24, pp. 351-359, 1995.
10. p) performance with global internal stability for linear plants with saturating actuators," Proc. 38th Conference on Decision and Control, Phoenix, 1999.
11. A.R. Teel, "Global stabilization and restricted tracking for multiple integrators with bounded controls," Systems and Control Letters, Vol. 18, pp. 165-171, 1992.
12. Y. Yang, "Global stabilization of linear systems with bounded feed-back," Ph.D. dissertation, Rutgers University, 1993.