Stability analysis of anti-windup control systems: A review and some generalizations

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 2156-2161

  Kothare, Mayuresh V ^a   Morari, Manfred ^b  

^a California Institute of Technology   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

Absolute stability; Anti windup; Input nonlinearity; Multiplier theory; Passivity theorem

Indexed keywords

CONTROL SYSTEM ANALYSIS; DESCRIBING FUNCTIONS; STABILITY CRITERIA;

ABSOLUTE STABILITY; ANTI-WINDUP; INPUT NON LINEARITIES; MULTIPLIER THEORY; PASSIVITY THEOREM;

CONTROL SYSTEM STABILITY;

EID: 84949092231     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082424     Document Type: Conference Paper

References (25)

1. B. D. O. Anderson and S. Vongpanitlerd. Network Analysis and Synthesis: A Modern Systems Theory Approach. Prentice-Hall, Inc., Englewood Cliffs, N. J., 1973.
2. K. J. Astr Om and L. Rundqwist. Integrator windup and how to avoid it. In Proceedings of the 1989 American Control Conference, pages 1693-1698, 1989.
3. V. Balakrishnan. Linear matrix inequalities in robustness analysis with multipliers. Systems & Control Letters, 25(4):265-272, July 1995.
4. V. Balakrishnan, Y. Huang, A. Packard, and J. Doyle. Linear matrix inequalities in analysis with multipliers. In Proceedings of the 1994 American Control Conference, pages 1228-1232, Baltimore, Maryland, June 1994.
5. P. J. Campo and M. Morari. Robust control of processes subject to saturation nonlinearities. Computers & Chemical Engineering, 14(4/5):343-358, 1990.
6. P. J. Campo, M. Morari, and C. N. Nett. Multivariable anti-windup and bumpless transfer: A general theory. In Proceedings of the 1989 American Control Conference, 1989.
7. C. A. Desoer and M. Vidyasagar. Feedback Systems: Input-Output Properties. Academic Press, New York, 1975.
8. J. C. Doyle, R. S. Smith, and D. F. Enns. Control of plants with input saturation nonlinearities. In Proceedings of the 1987 American Control Conference, pages 1034-1039, Minneapolis, MN, 1987.
9. A. H. Glattfelder and W. Schaufelberger. Stability analysis of single-loop control systems with saturation and antireset-windup circuits. IEEE Trans. Auto. Cont., 28(12):10741081, December 1983.
10. A. H. Glattfelder and W. Schaufelberger. Stability of discrete override and cascade-limiter single-loop control systems. IEEE Trans. Auto. Cont., 33(6):532-540, June 1988.
11. P. Kapasouris and M. Athans. Multivariable control systems with saturating actuators, antireset windup strategies. In Proceedings of the 1985 American Control Conference, pages 1579-1584, 1985.
12. H. K. Khalil. Nonlinear Systems. Prentice Hall, Inc., Upper Saddle River, NJ, second edition, 1996.
13. M. V. Kothare, P. J. Campo, M. Morari, and C. N. Nett. A unified framework for the study of anti-windup designs. Automatica, 30(12):1869-1883, 1994.
14. Also presented at the 1993 AIChE Annual Meeting, MO.
15. th IEEE Conference on Decision and Control, pages 37673772, New Orleans, LO, December 1995.
16. M. V. Kothare and M. Morari. Multiplier theory for stability analysis of anti-windup control systems. Technical Report AUT 96-08, Automatic Control Laboratory, The Swiss Federal Institute of Technology (ETH), Zurich, Switzerland, August 1996. Available at: http://aut.ethz.ch under Technical Reports.
17. A. I. Lure. Some nonlinear problems in the theory of automatic control. Her Majestys Stationery Office, London, 1957. In Russian, 1951.
18. V. R. Marcopoli and S. M. Phillips. Analysis and synthesis tools for a class of actuator-limited multivariable control systems: A Linear Matrix Inequality approach. International Journal of Robust and Nonlinear Control, 6:1045-1063, 1996. Special Issue on Linear Matrix Inequalities and their applications.
19. th IEEE Conference on Decision and Control, Kobe, Japan, December 1996.
20. 2boundedness of solutions of nonlinear functional equations. Bell Syst. Tech. J., 43(4):1581-1589, 1964.
21. G. Zames. On the input-output stability of time varying nonlinear feedback systems Part I: Conditions derived using concepts of loop gain, conicity, and positivity. IEEE Trans. Auto. Cont., 11(2):228238, April 1966.
22. G. Zames. On the input-output stability of time varying nonlinear feedback systems Part II: Conditions involving circles in the frequency plane and sector nonlinearities. IEEE Trans. Auto. Cont, 11(3):465-476, July 1966.
23. G. Zames and P. L. Falb. Stability conditions for systems with monotone and slope-restricted nonlinearities. SIAM J., 6(1):89-108, 1968.
24. A. Zheng, M. V. Kothare, and M. Morari. Anti-windup design for internal model control. International Journal of Control, 60(5):1015-1024, 1994.
25. Also presented at the 1993 AIChE Annual Meeting, MO.