Dynamic anti-windup design for anticipatory activation: enlargement of the domain of attraction

Traditional anti-windup compensators are designed for activation immediately at the occurrence of actuator saturation. Recently, anti-windup compensators were designed for actuation either after the saturation has reached a certain level or in anticipation of its occurrence. In the case of static anti-windup compensators, it has been shown that an anti-windup compensator designed for activation in anticipation of actuator saturation would lead to better performance than those designed for immediate or delayed activation could, both in terms of transient performance and the size of the domain of attraction. More recently, it has been shown that a dynamic anti-windup compensator designed for anticipatory activation would also result in better transient performance than those designed for immediate or delayed activation could. In this paper, we design dynamic anti-windup compensators for the enlargement of the domain of attraction. These compensators are designed respectively for immediate, delayed and anticipatory activation. We will show by simulation that a dynamic anti-windup compensator designed for anticipatory activation would result in a larger domain of attraction than a dynamic anti-windup compensator designed for immediate or delayed activation could.

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

[2]  Zongli Lin,et al.  Anti-windup in anticipation of actuator saturation , 2010, 49th IEEE Conference on Decision and Control (CDC).

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

[4]  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).

[5]  Zongli Lin,et al.  Design of multiple anti-windup loops for multiple activations , 2011, Proceedings of the 30th Chinese Control Conference.

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

[7]  I. Postlethwaite,et al.  A new perspective on static and low order anti-windup synthesis , 2004 .

[8]  Zongli Lin,et al.  Dynamic anti-windup design in anticipation of actuator saturation , 2011, Proceedings of the 2011 American Control Conference.

[9]  Karolos M. Grigoriadis,et al.  Actuator saturation control , 2002 .

[10]  Fen Wu,et al.  Anti-windup control design for exponentially unstable LTI systems with actuator saturation , 2004, Syst. Control. Lett..

[11]  Tingshu Hu,et al.  Regional anti-windup compensation for linear systems with input saturation , 2005, Proceedings of the 2005, American Control Conference, 2005..

[12]  Matthew C. Turner,et al.  Antiwindup for stable linear systems with input saturation: an LMI-based synthesis , 2003, IEEE Trans. Autom. Control..

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

[14]  Faryar Jabbari,et al.  Modified Anti-windup compensators for stable plants: Dynamic Anti-windup case , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[15]  Petros A. Ioannou,et al.  Adaptive LQ Control With Anti-Windup Augmentation to Optimize UAV Performance in Autonomous Soaring Applications , 2008, IEEE Transactions on Control Systems Technology.

[16]  Zongli Lin,et al.  On Immediate, Delayed and Anticipatory Activation of Anti-Windup Mechanism: Static Anti-Windup Case , 2012, IEEE Transactions on Automatic Control.

[17]  M. Saeki,et al.  Synthesis of a static anti‐windup compensator via linear matrix inequalities , 2000 .

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

[19]  Guido Herrmann,et al.  Some new results on anti-windup-conditioning using the Weston-Postlethwaite approach , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[20]  Faryar Jabbari,et al.  Multi-stage Anti-Windup Compensation for Open-loop Stable Plants , 2011, IEEE Transactions on Automatic Control.

[21]  S. Tarbouriech,et al.  Anti-windup design with guaranteed regions of stability: an LMI-based approach , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[22]  Faryar Jabbari,et al.  Modified Anti-Windup Compensators for Stable Plants , 2009, IEEE Transactions on Automatic Control.

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

[24]  Karolos M. Grigoriadis,et al.  Anti-windup controller design using linear parameter-varying control methods , 2000 .

[25]  Luca Zaccarian,et al.  Results on linear LMI-based external anti-windup design , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

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

[27]  Manfred Morari,et al.  Multivariable Anti-windup Controller Synthesis Using Bilinear Matrix Inequalities , 2000, Eur. J. Control.

[28]  Yuanqing Xia,et al.  Stochastic Barbalat's Lemma and Its Applications , 2012, IEEE Transactions on Automatic Control.

[29]  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..

[30]  Sophie Tarbouriech,et al.  Antiwindup design with guaranteed regions of stability: an LMI-based approach , 2005, IEEE Transactions on Automatic Control.