Incremental gain analysis of piecewise linear systems and application to the antiwindup problem

Automatica

Volumn 35, Issue 7, 1999, Pages 1275-1283

  Romanchuk, Brian G ^a   Smith, Malcolm C ^b  

^a BCA Publications   (Canada)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY; THEOREM PROVING;

LINEAR MATRIX INEQUALITY (LMI); PIECEWISE LINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0033165186     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00023-0     Document Type: Article

References (23)

1. Bernstein, D. S., & Michel, A. N. (1995). A chronological bibliography on saturating actuators. International Journal of Robust and Nonlinear Control, 5, 375-380.
2. Bollobás, B. (1990). Linear Analysis. Cambridge: Cambridge University Press.
3. Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, PA: SIAM.
4. Campo, P. J. (1990). Studies in Robust Control of Systems Subject to Constraints. Ph.D. Thesis, California Institute of Technology.
5. Chitour, Y., Liu, W., & Sontag, E. D. (1994). On the continuity and incremental-gain properties of certain saturated linear feedback loops, In Proceedings of the 34th IEEE Conference on Decision and Control (pp. 127-132).
6. Doyle, J. C., & Packard, A. (1987). Uncertain multivariable systems from a state space perspective. In American Control Conference (pp. 2147-2152).
7. Georgiou, T. T., & Smith, M. C. (1989). w-Stability of feedback systems. Systems and Control Letters, 13, 271-277.
8. Georgiou, T. T., & Smith, M. C. (1995). Metric uncertainty and nonlinear feedback stabilization, Lecture Notes in Control and Information Sciences (Vol. 202. pp. 88-98). Berlin: Springer.
9. Georgiou, T. T., & Smith, M. C. (1997). Robustness analysis of nonlinear feedback systems: An input-output approach. IEEE Transactions on Automatic Control, 42, 1200-1221.
10. Kothare, M. V., Campo, P. J., Morari, M., & Nett, C. N. (1994). A unified framework for the study of anti-windup designs. Automatica, 30, 1869-1883.
11. Kothare, M. V., & Morari, M. (1995). Multiplier theory for stability analysis of anti-windup control systems. In Proceedings of the 34th IEEE Conference on Decision and Control (pp. 3767-3772).
12. Lin, Z., & Saberi, A. (1993). Semi-global exponential stabilization of linear systems subject to "input saturation" via linear feedbacks. Systems and Control Letters, 21, 225-239.
13. Rapoport, L. B. (1987). Absolute stability of control systems with several nonlinear stationary elements. Automation and Remote Control, 48, 623-630.
14. Romanchuk, B. G. (1995). Ph.D. Dissertation, University of Cambridge.
15. ∞ bounding techniques for low order systems with saturation. In Proceedings of the 35th IEEE Conference on Decision and Control (pp. 963-968).
16. p gain for nonlinear systems. In Proceedings of the 36th IEEE Conference Decision and Control. (pp. 3270-3275).
17. Ryan, E. P. (1982). Optimal Relay and Saturating Control System Synthesis. London: Institution of Electrical Engineers.
18. Sontag, E. D. (1981). Nonlinear regulation: The piecewise linear approach. IEEE Transactions on Automatic Control, 26, 346-357.
19. Teel, A. R. (1992) Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems and Control Letters, 18, 165-171.
20. Teel, A. R. (1994). Semi-global stabilizability of linear null controllable systems with input nonlinearities. In American Control Conference (pp. 947-951).
21. Walgama, K. S., & Sternby, J. (1990). Inherent observer property in a class of anti-windup compensators. International Journal of Control, 52(3), 705-724.
22. Willems, J. C. (1971). Dissipative dynamical systems part I: General theory. Archives of Rational Mechanics and Analysis. 45, 321-351.
23. Zheng, A., Kothare, M. V., & Morari, M. (1994). Anti-windup design for internal model control, International Journal of Control. 60, 1015-1024.