Anti-windup design of output tracking systems subject to actuator saturation and constant disturbances

This paper considers the design of output tracking systems subject to actuator saturation and integrator windup. An optimization-based approach is developed to design feedback and anti-windup gains of a controller structure involving intelligent integrators. The design goal is to increase stability region and output tracking and disturbance rejection ability of the closed-loop system.

[1]  A. Teel,et al.  The L2 anti-winup problem: Its definition and solution , 1997, 1997 European Control Conference (ECC).

[2]  Raymond Hanus,et al.  Anti-windup designs for multivariable controllers , 1997, 1997 European Control Conference (ECC).

[3]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[4]  Sophie Tarbouriech,et al.  Intelligent anti‐windup for systems with input magnitude saturation , 1998 .

[5]  S. Crawshaw Anti-windup synthesis for guaranteed L/sub 2/ performance , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[6]  Malcolm C. Smith,et al.  Incremental gain analysis of linear systems with bounded controls and its application to the anti-windup problem , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[7]  Lars Rundqwist,et al.  Integrator Windup and How to Avoid It , 1989, 1989 American Control Conference.

[8]  Manfred Morari,et al.  Robust control of processes subject to saturation nonlinearities , 1990 .

[9]  David G. Ward,et al.  An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation , 2002, IEEE Trans. Autom. Control..

[10]  Christopher Edwards,et al.  An anti-windup scheme with closed-loop stability considerations , 1999, Autom..

[11]  Franco Blanchini,et al.  Any domain of attraction for a linear constrained system is a tracking domain of attraction , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[12]  M. V. Meerov Multivariable Control Systems , 1968 .

[13]  Manfred Morari,et al.  A unified framework for the study of anti-windup designs , 1994, Autom..

[14]  Glenn Vinnicombe,et al.  Anti-windup synthesis for guaranteed L2 performance , 2000, CDC 2000.

[15]  A. Glattfelder,et al.  Stability analysis of single loop control systems with saturation and antireset-windup circuits , 1983 .

[16]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[17]  N. J. Krikelis State feedback integral control with ‘ intelligent’ integrators , 1980 .

[18]  A. Teel Anti-windup for exponentially unstable linear systems , 1999 .

[19]  Fen Wu,et al.  Extended anti-windup control schemes for LTI and LFT systems with actuator saturations , 2004 .

[20]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .

[21]  Zhengzhi Han,et al.  Disturbance attenuation for general nonlinear systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[22]  Faryar Jabbari,et al.  Disturbance attenuation for systems with input saturation: An LMI approach , 1999, IEEE Trans. Autom. Control..

[23]  Michael Athans,et al.  Multivariable Control Systems with Saturating Actuators Antireset Windup Strategies , 1985, 1985 American Control Conference.

[24]  Franco Blanchini,et al.  Set invariance in control , 1999, Autom..

[25]  Prodromos Daoutidis,et al.  An Anti-Windup Design for Linear Systems with Input Saturation , 1998, Autom..

[26]  N. Krikelis,et al.  Design of tracking systems subject to actuator saturation and integrator wind-up , 1984 .

[27]  Sophie Tarbouriech,et al.  Output tracking problem for systems with input saturations via nonlinear integrating actions , 2000 .

[28]  Manfred Morari,et al.  Multivariable anti-windup controller synthesis using linear matrix inequalities , 2001, Autom..

[29]  A. Teel,et al.  Linear matrix inequalities for full and reduced order anti-windup synthesis , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[30]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).