Extended anti-windup control schemes for LTI and LFT systems with actuator saturations

International Journal of Robust and Nonlinear Control

Volumn 14, Issue 15, 2004, Pages 1255-1281

  Wu, Fen ^a   Soto, Marco ^a  

^a North Carolina State University   (United States)

Author keywords

Anti windup compensation; Controller construction; Input magnitude and rate saturations; Linear matrix inequality (LMI); Stability and performance

Indexed keywords

ACTUATORS; ALGORITHMS; COMPUTER PROGRAM LISTINGS; COMPUTER SIMULATION; PARAMETER ESTIMATION; PERFORMANCE; PROBLEM SOLVING; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY;

ANTI-WINDUP COMPENSATION; CONTROLLER CONSTRUCTION; INPUT MAGNITUDE; LINEAR MATRIX INEQUALITY (LMI); RATE SATURATIONS;

NONLINEAR SYSTEMS;

EID: 4744339890     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/rnc.943     Document Type: Article

References (25)

1. Aström KJ, Wittenmark B. Computer Controlled Systems: Theory and Design. Prentice-Hall: Englewood Cliffs, 1994.
2. McKay K. Summary of an AGARD workshop on pilot induced oscillations. Proceedings of AIAA Guidance, Navigation, and Control Conference, 1994.
3. Dornheim MA. Report pinpoints factors leading to YF-22 crash. Aviation Week and Space Technology 1992; 137:53-54.
4. Shifrin CA. Sweden seeks cause of Gripen crash. Aviation Week and Space Technology 1993; 139:78-79.
5. Bernstein DS, Michel AN. A chronological bibliography on saturating actuators. International Journal of Robust and Nonlinear Control 1995; 5:375-380.
6. Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Birkhäuser: Boston, 2001.
7. Kapila V, Grigoriadis KM (eds). Actuator Saturation Control, Marcel Dekker: New York, 2002.
8. Kothare MV, Campo PJ, Morari M, Nett CN. A unified framework for the anti-windup designs. Automatica 1994; 30(12):1869-1883.
9. 2 anti-windup problem: its definition and solution. Proceedings of the 4th European Control Conference, 1997.
10. Tyan F, Bernstein DS. Anti-windup compensator synthesis for systems with saturation actuators. International Journal of Robust and Nonlinear Control 1995; 5:521-537.
11. Mulder EF, Kothare MV, Morari M. Multivariable anti-windup controller synthesis using linear matrix inequalities. Automatica 2001; 37:1407-1416.
12. Grimm G, Hatfield J, Postlethwaite I, Teel AR, Turner MC, Zaccarian L. Antiwindup for stable linear systems with input saturation: an LMI-based synthesis. IEEE Transactions on Automatic Control 2003; 48(9):1509-1525.
13. Wu F, Lu B. Anti-windup control design for exponentially unstable LTI systems with actuator saturation. Systems and Control Letters 2004; to appear.
14. Barbu C, Reginatto R, Teel AR, Zaccarian L. Anti-windup for exponentially unstable linear systems with rate and magnitude input limits. In Actuator Saturation Control, Kapila V, Grigoriadis KM (eds). Marcel Dekker: NY, 2002; 1-31.
15. Pittet C, Tarbouriech S, Burgat C. Stability regions for linear systems with saturating controls via circle and Popov criteria. Proceedings of the 36th IEEE Conference on Decision and Control, 1997; 4518-4523.
16. Hindi H, Boyd SP. Analysis of linear systems with saturation using convex optimization. Proceedings of the 37th IEEE Conference on Decision and Control, 1998; 903-908.
17. Kiyama T, Iwasaki T. On the use of multi-loop circle criterion for saturating control synthesis. Systems and Control Letters 2000; 41:105-114.
18. Nguyen T, Jabbari F. Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation. Automatica 2000; 36:1339-1346.
19. Kapasouris P, Athans M. Control systems with rate and magnitude saturation for neutrally stable open loop systems. Proceedings of the 29th IEEE Conference on Decision and Control, 1990; 3404-3409.
20. Tyan F, Bernstein DS. Dynamics output feedback compensation for linear systems with independent amplitude and rate saturations. International Journal of Control 1997; 67(1):89-116.
21. Boyd SP, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. SIAM: Philadelphia, 1994.
22. Packard A. Gain scheduling via linear fractional transformations. Systems and Control Letters 1994; 22:79-92.
23. ∞ synthesis. Automatica 1996; 32(7):1007-1014.
24. ∞ controllers. IEEE Transactions on Automatic Control 1995; 40(5):853-865. (also see Erratum IEEE Transactions on Automatic Control 1995; 40:1681).
25. Kapasouris P, Athans M, Stein G. Design of feedback control systems for stable plants with saturating actuators. Proceedings of the 27th IEEE Conference on Decision and Control, 1988; 469-479.