Low-and-high gain design technique for linear systems subject to input saturation - A direct method

International Journal of Robust and Nonlinear Control

Volumn 7, Issue 12, 1997, Pages 1071-1101

  Lin, Zongli ^a   Saberi, Ali ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b Washington State University   (United States)

Author keywords

Actuator saturation; Bounded control; Low and high gain disturbance rejection

Indexed keywords

ACTUATORS; ALGORITHMS; ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; EIGENVALUES AND EIGENFUNCTIONS; RICCATI EQUATIONS;

BOUNDED CONTROL; LOW AND HIGH GAIN DESIGN TECHNIQUES;

LINEAR CONTROL SYSTEMS;

EID: 0031362422     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199712)7:12<1071::AID-RNC254>3.0.CO;2-S     Document Type: Article

References (25)

1. Fuller, A. T., 'In-the-large stability of relay and saturating control systems with linear controller', Int. J. Control. 10(4), 457-480 (1969).
2. Sussmann, H. J. and Y. Yang, 'On the stabilizability of multiple integrators by means of bounded feedback controls', Proc. 30th CDC, Brighton, U.K., 1991, pp. 70-72.
3. Sontag, E. D. and H. J. Sussmann, 'Nonlinear output feedback design for linear systems with saturating controls', Proc. 29th CDC, Honolulu, Hawaii, 1990, pp. 3414-3416.
4. Schmitendorf, W. E. and B. R. Barmish, 'Null controllability of linear systems with constrained controls', SIAM J. Control and Optimization, 18, 327-345 (1980).
5. Sontag, E. D., 'An algebraic approach to bounded controllability of linear systems', Int. J. Control, 39, 181-188 (1984).
6. Gavrilyako, V. M., V. I. Korobov and G. M. Skylar, 'Designing a bounded control of dynamic systems in entire space with the aid of a controllability function', Automat. Remote Control, 11, 1484-1490 (1986).
7. Teel, A. R., 'Global stabilization and restricted tracking for multiple integrators with bounded controls', Systems & Control Letters, 18(3), 165-171 (1992).
8. Sussmann, H. J., E. D. 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).
9. Lin, Z. and A. Saberi, 'Semi-global exponential stabilization of linear systems subject to "input saturation" via linear feedbacks', System & Control Letters, 21(3), 225-239 (1993).
10. Lin, Z. and A. Saberi, 'Semi-global exponential stabilization of linear discrete-time systems subjects to "input saturation" via linear feedbacks', System & Control Letters, 24, 125-132, (1995).
11. Lin, Z., A. A. Stoorvogel and A. Saberi, 'Output regulation for linear systems subject to input saturation', Automatica, 32(1), 29-47 (1996).
12. Teel, A. R., 'Semi-global stabilization of linear controllable systems with input nonlinearities', IEEE Transactions on Automatic Control, 40(1), 96-100 (1995).
13. Lin, Z. and A. Saberi, 'A Semi-global low-and-high gain design technique for linear systems with input saturation - stabilization and disturbance rejection', International Journal of Robust and Nonlinear Control, 5, 381-398 (1995).
14. Lin, Z. and A. Saberi, 'A low-and-high gain approach to semi-global stabilization and/or semi-global practical stabilization of a class of linear systems subject to input saturation via linear state and output feedback', Proc. 32nd CDC, San Antonio, Texas, 1993, pp. 1820-1821.
15. Saberi, A., Z. Lin and A. T. Teel, 'Control of linear systems with saturating actuators', IEEE Transactions on Automatic Control, 41, 368-378 (1996).
16. Wredenhagen, G. F. and P. R. Belanger, 'Piecewise-linear LQ control for systems with input constraints', Automatica, 30, 403-116 (1994).
17. Esfandiari, F. and H. K. Khalil, 'Output feedback stabilization of fully linearizable systems', Int. J. Control, 56, 1007-1037 (1992).
18. Teel, A. R. and L. Praly, 'Tools for semi-global stabilization by partial state and output feedback', SIAM J. of Control and Optimization, 33, 1443-1488 (1995).
19. Teel, A. and L. Praly, 'Global stabilizability and observability imply semi-global stabilizability by output feedback', Systems & Control Letters, 22, 313-325 (1994).
20. Kailath, T., Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
21. Chen, C.-T., Linear System Theory and Design, Holt. Rinehart and Winston, New York, 1984.
22. Sannuti, P. and A. Saberi, 'A special coordinate basis of multivariable linear systems - finite and infinite zero structure, squaring down and decoupling'. Int. J. Control, 45, 1655-1704 (1987).
23. Lin, Z., A., Saberi and B. M. Chen, Linear Systems Toolbox, (commericially available through A. J. Controls Inc., Seattle, Washington), Washington State University Report No. EE/CS 0097, 1991.
24. Saberi, A. and P. Sannuti, 'Observer design for loop transfer recovery and for uncertain dynamical systems', IEEE Transactions on Automatic Control, 35, 878-897 (1990).
25. Khalil, H. K., Nonlinear Systems, Macmillan Publishing Company, New York,1992.