Guaranteed stability regions of linear systems with actuator saturation using the low-and-high gain technique

International Journal of Control

Volumn 74, Issue 14, 2001, Pages 1425-1434

  Turner, M C ^a   Postlethwaite, I ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; FEEDBACK CONTROL; GAIN CONTROL; MATHEMATICAL MODELS;

GAIN TECHNIQUES;

LINEAR SYSTEMS;

EID: 0035922483     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170110073614     Document Type: Article

References (22)

1. Angeli, D., Casavola, A., and Mosca, E., 2000, Predictive PI-control of linear plants under positional and incremental input saturations, Automatica, 36, 1505-1516.
2. Barbu, C., Reginatto, R., Teel, A.R., and Zaccarian, L., 1999, Anti-windup design for manual flight control, Proceedings of the American Control Conference, pp. 3186-3190.
3. Blanchini, F., 1999, Set-invariance in control-a survey, Automatica 35, 1457-1467.
4. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in Systems and Control Theory (Philadelphia: SIAM).
5. De Dona, J.A., Moheimani, S.O.R., and Goodwin, G.C., 2000, Robust combined PLC/LHG controller with allowed over-saturation of the input signal. Proceedings of the American Control Conference, pp. 750-751.
6. De Dona, J.A., Moheimani, S.O.R., Goodwin, G.C., and Feuer, A., 1999, Robust hybrid control incorporating over-saturation. Systems and Control Letters, 38, 179-185.
7. Edwards, C., and Spurgeon, S.K., 1998, Sliding Mode Control: Theory and Applications (New York: Taylor and Francis).
8. Gilbert, E.G., and Tan, K.T., 1991, Linear systems with state and control constraints: The theory and application of maximal output admissable sets. IEEE Transactions on Automatic Control, 26, 1008-1020.
9. Gutman, P.-O., and Hagander, P., 1985, A new design of constrained controllers for linear systems. IEEE Transactions on Automatic Control, 30, 22-33.
10. Henrion, D., Garcia, G., and Tarbouriech, S., 1999, Piecewise linear robust control of systems with input saturation. European Journal of Control, 5, 157-166.
11. Hindi, H., and Boyd, S., 1998, Analysis of linear systems with saturation using convex optimisation. Proceedings of the IEEE Conference on Decision and Control, pp. 903-907.
12. Hu, T., Lin, Z., and Qiu, L., 2000, The controllability and stabilizability of exponentially unstable linear systems subject to actuator saturation. IEEE Transactions on Automatic Control (submitted).
13. Lauvdal, T., and Fossen, T., 1997, Stabilization of linear unstable systems with control constraints. Proceedings of the IEEE Conference on Decision and Control, 5, 4504-4509.
14. Lin, Z., and Saberi, A., 1993, Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems and Control Letters, pp. 225-239.
15. Lin, Z., and Saberi, A., 1995, A semi-global low and high gain design technique for linear systems with input saturation-Stabilisation and disturbance rejection. International Journal of Robust and Nonlinear Control, 5, 381-398.
16. Lin, Z., Mantri, R., and Saberi, A., 1995, Semi-global output regulation for linear systems subject to input saturation-a low-and-high gain design. Control Theory and Advanced Technology, 4, 2209-2232.
17. Lin, Z., Pachter, M., and Banda, Siva, 1998, Toward tracking improvement-nonlinear feedback for linear systems. International Journal of Control, 70, 1-11.
18. Pittet, C., Tarbouriech, S., and Burgat, C. (1997), Stability regions for linear systems with saturating control via Circle and Popov criteria. Proceedings of the IEEE Conference on Decision and Control, 5, 4518-4523.
19. Saberi, A., Lin, Z., and Teel, A.R., 1996, Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control, 41, 368-378.
20. Stoorvogel, A.A., and Saberi, A., 1999, Output regulation of linear plants with actuators subject to amplitude and rate constraints. International Journal of Robust and Nonlinear Control, 9, 631-657.
21. Turner, M.C., Postlethwaite, I., and Walker, D.J., 2000, Nonlinear tracking control for multivariable constrained input linear systems. International Journal of Control, 73, 1160-1172.
22. Wredenhagen, G.F., and Belanger, B., 1994, Piecewise linear LQ control for constrained Input Systems. Automatica, 30, 403-416.