Stability region enlargement through anti-windup strategy for linear systems with dynamics restricted actuator

This paper addresses the problem of determination of stability regions for linear systems with amplitude and successive dynamics restricted actuator through anti-windup strategies. Considering a linear dynamic output feedback designed with respect to the linear system (without saturation), an anti-windup design method is investigated to guarantee both the stability of the closed-loop system and the respect of the controlled output constraints for a region of admissible initial states as large as possible. Based on the modelling of the closed-loop system resulting from the controller plus the anti-windup loop as a linear system with dead-zone and dynamics restricted nonlinearities, LMI stability conditions are formulated. Numerical optimization procedures are discussed.

[1]  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..

[2]  S. Tarbouriech,et al.  Anti-windup strategy for linear systems with amplitude and dynamics restricted actuator , 2003, 2003 European Control Conference (ECC).

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

[4]  R. Reginatto,et al.  Analysis of regions of stability for linear systems with saturating inputs through an anti-windup scheme , 2002, Proceedings of the International Conference on Control Applications.

[5]  Sophie Tarbouriech,et al.  Local stabilization of linear systems under amplitude and rate saturating actuators , 2003, IEEE Trans. Autom. Control..

[6]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[7]  Eric Feron,et al.  High performance control with position and rate limited actuators , 1999 .

[8]  Sophie Tarbouriech,et al.  Anti-windup strategy with guaranteed stability for linear systems with amplitude and dynamics restricted actuator , 2004 .

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

[10]  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).

[11]  Jordan M. Berg,et al.  An analysis of the destabilizing effect of daisy chained rate-limited actuators , 1996, IEEE Trans. Control. Syst. Technol..

[12]  Dennis S. Bernstein,et al.  Dynamic output feedback compensation for linear systems with independent amplitude and rate saturations , 1997 .

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

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

[15]  A. Teel,et al.  Anti-windup for exponentially unstable linear systems with inputs limited in magnitude and rate , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[16]  Manfred Morari,et al.  Multiplier theory for stability analysis of anti-windup control systems , 1999, Autom..