Dynamical anti-reset windup method for discrete-time saturating systems

This paper presents a dynamical anti-reset windup (ARW) method for multivariable discrete-time saturating control systems. With the intention to maintain the behavior of the unsaturated linear system as far as possible, an additional dynamical compensator is explicitly determined for the saturated system. Due to the additional compensator, the state positioning problem of the saturated system is completely resolved. Thus the proposed ARW scheme can provide performance enhancement in the event of saturation. Moreover the proposed method guarantees the total stability of the system. The resulting dynamics of the compensated controller exhibits the dominant part of the unsaturated system which can be seen from generalized singular perturbation theory. A simulation example is included to illustrate the effectiveness of the proposed method.<<ETX>>

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

[2]  J. Sternby,et al.  Inherent Observer Property in a Class of Anti-Windup Compensators , 1990 .

[3]  Roy S. Smith,et al.  Control of Plants with Input Saturation Nonlinearities , 1987, 1987 American Control Conference.

[4]  Thomas Kailath,et al.  Linear Systems , 1980 .

[5]  K. Fernando,et al.  Singular perturbational model reduction in the frequency domain , 1982 .

[6]  Chong-Ho Choi,et al.  Discrete-time saturating systems with EPM method , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[7]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[8]  M. Morari,et al.  Multivariable Anti-Windup and Bumpless Transfer: A General Theory , 1989, 1989 American Control Conference.

[9]  Chong-Ho Choi,et al.  Dynamic compensation method for multivariable control systems with saturating actuators , 1995, IEEE Trans. Autom. Control..

[10]  B. Anderson,et al.  Linear Optimal Control , 1971 .

[11]  Petar V. Kokotovic,et al.  Singular perturbations and order reduction in control theory - An overview , 1975, at - Automatisierungstechnik.

[12]  Michael Athans,et al.  Design of feedback control systems for stable plants with saturating actuators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[13]  Isaac Horowitz,et al.  A synthesis theory for a class of saturating systems , 1983 .

[14]  K. Fernando,et al.  Singular perturbational model reduction of balanced systems , 1982 .

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

[16]  Petar V. Kokotovic,et al.  Singular perturbations and time-scale methods in control theory: Survey 1976-1983 , 1982, Autom..

[17]  A. H. Glattfelder,et al.  Start-up performance of different proportional-integral-anti-wind-up regulators , 1986 .

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

[19]  Bor-Sen Chen,et al.  The stability of feedback control with nonlinear saturating actuator: time domain approach , 1988 .

[20]  Michel Kinnaert,et al.  Conditioning technique, a general anti-windup and bumpless transfer method , 1987, Autom..

[21]  H. Raymond,et al.  Control of Constrained Multivariable Systems using the Conditioning Technique , 1989, 1989 American Control Conference.

[22]  R. Cottle.  Manifestations of the Schur complement , 1974 .

[23]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[24]  J. Sternby,et al.  Generalisation of conditioning technique for anti-windup compensators , 1992 .

[25]  Brian D. O. Anderson,et al.  Singular perturbation approximation of balanced systems , 1989 .