Stabilization with positive and quantized control

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2002, Pages 1892-1897

  Kaliora, Georgia ^a   Astolfi, Alessandro ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Feedforward systems; L2 gain; Positive control; Quantized control

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; LINEAR CONTROL SYSTEMS; THEOREM PROVING;

FEEDFORWARD SYSTEMS; POSITIVE CONTROL LINEAR SYSTEMS; QUANTIZED CONTROL SCHEME;

CONTROL SYSTEM SYNTHESIS;

EID: 0036994260     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. R. W. Brockett and D. Liberzon. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 45(7):1279-1289, 2000.
2. P. De Leenheer and D. Aeyels. Stabilization of positive linear systems. Systems & Control Letters, 44(4):259-271, 2001.
3. M. Green and D.J.N. Limebeer. Linear Robust Control. Prentice Hall, 1995.
4. A. Isidori. Nonlinear Control Systems II. Springer-Verlag, 1999.
5. G. Kaliora and A. Astolfi. A simple design for the stabilization of a class of cascaded nonlinear systems with bounded control. Proceedings of the 40th IEEE Conference on Decision and Control, December 2001.
6. G. Kaliora and A. Astolfi. Nonlinear control with bounded signals. Internal Report, Imperial College, London, January 2002.
7. D. Liberzon. A hybrid control framework for systems with quantization. Proceedings of the 40th IEEE Conference on Decision and Control, pages 1217-1222, December 2001.
8. Z. Lin and A. Saberi. Semi-global exponential stabilization of linear systems subject to "input saturation" via linear feedbacks. Systems & Control Letters, 21:225-239, 1993.
9. A. Rapaport and A. Astolfi. A remark on the stability of interconnected nonlinear systems. Proceedings of the 40th IEEE Conference on Decision and Control, pages 3004-3008, December 2001.
10. S. Saperstone. Global controllability of linear systems with positive controls. SIAM Journal on Control, 11(3):417-423, 1973.
11. S. Saperstone and J. Yorke. Controllability of linear oscillatory systems using positive controls. SIAM Journal on Control, 9(2):253-262, 1971.
12. H. Sussmann, E. Sontag, and Y. Yang. A general result on the stabilization of linear systems using bounded controls. IEEE Transactions on Automatic Control, 39(12):2411-2425, 1994.
13. A.R. Teel. Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems & Control Letters, 18:165-171, 1992.
14. W. Murray Wonham. Linear Multivariable Control. Springer-Verlag, 1995.