Linear systems with bounded inputs: Global stabilization with eigenvalue placement

International Journal of Robust and Nonlinear Control

Volumn 7, Issue 9, 1997, Pages 835-845

  Suárez, Rodolfo ^a,b   Álvarez Ramírez, José ^a   Solís Daun, Julio ^a  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Bounded inputs; Global stabilization; Implicit nonlinear feedback; Linear systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; FUNCTIONS; INVARIANCE; NONLINEAR EQUATIONS; SYSTEM STABILITY;

BOUNDED INPUTS; GLOBAL STABILIZATION; IMPLICIT NONLINEAR FEEDBACK;

LINEAR CONTROL SYSTEMS;

EID: 0031237952     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199709)7:9<835::AID-RNC216>3.0.CO;2-P     Document Type: Article

References (18)

1. Alvarez-Ramírez, J., R. Suárez and J. Alvarez, 'Semi-global stabilization of multi-input linear systems with saturated linear state feedback', Syst. & Control. Lett., 23, 247-254 (1994).
2. Burgat, C., S. Tarburiech and M. Klai, 'Continuous-time saturated state feedback regulators: theory and design', Int. J. Syst. Sci., 25, 315-336 (1994).
3. Fuller, A. T., 'In-the-large stability of relay and saturating control systems with linear controllers', Int. J. Control, 10, 457-480 (1969).
4. Lin, Z. and A. Saberi, 'Semi-global exponential stabilization of linear systems subject to "input saturation" via linear feedbacks', Syst. & Contr. Lett., 21, 225-239 (1993).
5. Sontag, E. D. and H. J. Sussmann, 'Nonlinear output feedback design for linear systems with saturating controls', in Proc. 29th IEEE Conf. on Dec. Contr., Honolulu, HI, December 1990, pp. 3414-3416.
6. Suárez, R., J. Alvarez-Ramirez and J. Alvarez, 'Regions of attraction of closed loop linear systems with saturated linear feedback', J. Math. Syst. Est. Contr., Summary published in Vol. 5, No. 4 pp. 491-494, 1995.
7. .Gavrilyako, V. M., V. I. Korobov and G. M. Sklyar, 'Designing a bounded control of dynamic systems in entire space with the aid of a controllability function', Automat, and Remote Contr., 11, 1484-1490 (1986).
8. Komarov, V. A., 'Design of constrained controls for nonautonomous linear systems', Automat, and Remote Contr., 10, 1280-1286 (1985).
9. Suárez, R., J. Solis-Daun and J. Alvarez, 'Stabilization of linear control systems by means of bounded continuous nonlinear feedback control', Syst. & Contr. Lett., 23, 403-410 (1994).
10. Korobov, V. I., 'A general approach to the solution of the bounded control synthesis problem in a controllability problem', Math. USSR Sbornik, 37, 535-539 (1980).
11. Yang, Y., H. J. Sussmann and E. Sontag, 'Stabilization of linear systems with bounded controls', In Proc. Nonlinear Contr. Syst. Design Symp., IFAC Publications, Bordeaux, June 1992, pp. 15-20.
12. Teel, A. R., 'Feedback stabilization: nonlinear solutions to inherently nonlinear problems', Memo No. UCB/ERL M92/65, University of California, Berkeley, June 1992.
13. Sussmann, H. J., E. Sontag and Y. Yang, 'A general result on the stabilization of linear systems using bounded controls', IEEE Trans. Autom. Contr., AC-39, 2411-2424 (1994).
14. Kawasaki, N. and E. Shimemura, 'Determining quadratic weighting matrices to locate poles in a specified region', Automatica, 19, 557-560 (1983).
15. Shieh, L. S., H. M. Dib and B. C. Mcinnis, 'Linear quadratic regulators with eigenvalue placement in a vertical strips', IEEE Trans. Autom. Contr., AC-31, 241-243 (1986).
16. Molinari, B. P., 'The time-invariant linear-quadratic optimal control problem', Automatica, 13, 347-357 (1977).
17. Wredenhagen, G. F. and P. R. Bélanger, 'Piecewise-linear LQ control for systems with input constraints', Automatica, 30, 403-416 (1994).
18. Poubelle, M. A., R. R. Bitmead and M. R. Gevers, 'Fake algebraic Riccati techniques and stability', IEEE Trans. Autom. Contr., AC-33, 379-381 (1988).