Anti-windup synthesis for linear control systems with input saturation: Achieving regional, nonlinear performance

Automatica

Volumn 44, Issue 2, 2008, Pages 512-519

  Hu, Tingshu ^a   Teel, Andrew R ^b   Zaccarian, Luca ^c  

^a University of Massachusetts   (United States)

^b University of California   (United States)

^c UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Anti windup synthesis; Domain of attraction; Nonlinear L2 gain; Reachable set

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; NONLINEAR ANALYSIS; OPTIMIZATION; PROBLEM SOLVING;

DYNAMIC COMPENSATORS; NONLINEAR PERFORMANCE; SYNTHESIS TOOLS;

LINEAR CONTROL SYSTEMS;

EID: 37849028559     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.06.003     Document Type: Article

References (20)

1. Angeli D., and Mosca E. Command governors for constrained nonlinear systems. IEEE Transactions on Automatic Control 44 4 (1999) 816-820
2. Cao Y., Lin Z., and Ward D. An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Transactions on Automatic Control 47 1 (2002) 140-145
3. 2 performance. In American control conference (pp. 657-661). Anchorage (AK), USA.
4. Edwards C., and Postlethwaite I. An anti-windup scheme with closed-loop stability considerations. Automatica 35 4 (1999) 761-765
5. Gilbert E., and Kolmanovsky I. Fast reference governors for systems with state and control constraints and disturbance inputs. International Journal of Robust Nonlinear Control 9 15 (1999) 1117-1141
6. Gomes da Silva Jr. J.M., and Tarbouriech S. Anti-windup design with guaranteed regions of stability: An LMI-based approach. IEEE Transactions on Automatic Control 50 1 (2005) 106-111
7. Glattfelder, A., Ohta, Y., Mosca, E., & Weiland, S. W. (guest editors) (2000). Special issue on anti-windup control. European Journal of Control, 6(5), 403-380.
8. Grimm G., Hatfield J., Postlethwaite I., Teel A., Turner M., and Zaccarian L. Antiwindup for stable linear systems with input saturation: An LMI-based synthesis. IEEE Transactions on Automatic Control 48 9 (2003) 1509-1525
9. Grimm G., Teel A., and Zaccarian L. Linear LMI-based external anti-windup augmentation for stable linear systems. Automatica 40 11 (2004) 1987-1996
10. 2 gain and regional analysis for linear systems with anti-windup compensation. In American control conference (pp. 3391-3396). Portland (OR), USA.
11. Hu T., Teel A., and Zaccarian L. Stability and performance for saturated systems via quadratic and non-quadratic Lyapunov functions. IEEE Transactions on Automatic Control 51 11 (2006) 1770-1786
12. Kothare M., Campo P., Morari M., and Nett N. A unified framework for the study of anti-windup designs. Automatica 30 12 (1994) 1869-1883
13. Lozier J. A steady-state approach to the theory of saturable servo systems. IRE Transactions on Automatic Control 1 (1956) 19-39
14. Marcopoli V., and Phillips S. 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 (1996) 1045-1063
15. Miyamoto, S.,& Vinnicombe, G. (1996). Robust control of plants with saturation nonlinearity based on coprime factor representation. In 36th CDC (pp. 2838-2840). Kobe, Japan.
16. Mulder E., Kothare M., and Morari M. Multivariable anti-windup controller synthesis using linear matrix inequalities. Automatica 37 9 (2001) 1407-1416
17. Shamma J. Anti-windup via constrained regulation with observers. Systems and Control Letters 40 (2000) 1869-1883
18. Teel A.R. Semi-global stabilizability of linear null controllable systems with input nonlinearities. IEEE Transactions on Automatic Control 40 1 (1995) 96-100
19. Turner, M., & Zaccarian, L. (guest editors) (2006). Special issue on anti-windup. International Journal of Systems Science, 37(2).
20. Zaccarian L., and Teel A.R. A common framework for anti-windup, bumpless transfer and reliable designs. Automatica 38 10 (2002) 1735-1744