On the L -stabilization of the double integrator subject to input saturation

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 6, Issue , 2001, Pages 291-331

  Chitour, Yacine ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Finite gain stability; Input saturation; Input to state stability; Lp stabilization; Lyapunov function; Nonlinear control systems

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY;

FINITE GAIN STABILITY; INPUT SATURATION; INPUT TO STATE STABILITY;

CONTROL SYSTEM ANALYSIS;

EID: 0035693709     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2001112     Document Type: Article

References (15)

1. V. Blondel, E. Sontag, M. Vidyasagar and J. Willems, Open Problems in Mathematical Systems and Control Theory. SpringerVerlag, London (1999).
2. stIEEE Conf. Dec and Control. Tucson, AZ, IEEE Publications, Piscataway, NJ (1992) 1050-1054.
3. A.T. Fuller, In the large stability of relay and saturated control with linear controllers. Internat. J. Control 10 (1969) 457-480.
4. st IEEE Conf. Dec and Control. Tucson, AZ, IEEE Publications, Piscataway, NJ (1992) 3259-3264.
5. W. Liu, Y. Chitour and E.D. Sontag, On finite-gain stabilization of linear systems subject to input saturation. SIAM J. Control Optim. 4 (1996) 1190-1219.
6. Z. Lin and A. Saberi, A semi-global low and high gain design technique for linear systems with input saturation stabilization and disturbance rejection. Internat. J. Robust Nonlinear Control 5 (1995) 381-398.
7. p-stabilization and internal stabilization of linear systems subject to input saturation — state feedback case. Systems Control Lett. 25 (1995) 219-226.
8. 2-bounded. Preprint (1996).
9. E.D. Sontag, Mathematical theory of control. Springer-Verlag, New York (1990).
10. E.D. Sontag, Stability and stabilization: Discontinuities and the effect of disturbances, in Nonlinear analysis, differential equation and control, edited by F.H. Clarke and R.J. Stern, Nato Sciences Series C 528 (1999).
11. E.D. Sontag and H.J. Sussmann, Remarks on continuous feedbacks, in Proc. IEEE Conf. Dec and Control. Albuquerque, IEEE Publications, Piscataway, NJ (1980) 916-921.
12. A.R. Teel, Global Stabilization and restricted tracking for multiple integrators with bounded controls. Systems Control Lett. 24 (1992) 165-171.
13. Y. Yang, H.J. Sussmann and E.D. Sontag, Stabilization of linear systems with bounded controls. IEEE Trans. Automat. Control 39 (1994) 2411-2425.
14. Y. Yang, Global stabilization of linear systems with bounded feedbacks. Ph.D. Thesis, Rutgers University (1993).
15. 2-gain and passivity techniques in nonlinear control. Springer, London, Lecture Notes in Control and Inform. Sci. (1996).