Transient performance improvement for output regulation problem of linear discrete-time systems with input saturation

Transient performance for output regulation problem of linear discrete-time systems subject to input amplitude saturation is addressed in this paper by using composite nonlinear feedback (CNF) control technique. The regulator is designed to be an additive combination of a linear regulator part and a nonlinear feedback part. The linear regulator part itself solves the regulation problem independently which produces a quick output response but large oscillations. The nonlinear feedback part with well-tuned parameters is introduced to improve the transient performance by smoothing the oscillatory convergence. It is shown that the introduction of the nonlinear feedback part does not change the solvability conditions of the linear discrete-time output regulation problem. The effectiveness of transient improvement is illustrated by a numeric example.

[1]  E. Davison.  The output control of linear time-invariant multivariable systems with unmeasurable arbitrary disturbances , 1972 .

[2]  E. Davison,et al.  Design of industrial regulators. Integral feedback and feedforward control , 1972 .

[3]  E. Davison,et al.  Robust control of a general servomechanism problem: The servo compensator , 1975, Autom..

[4]  W. Wonham,et al.  The internal model principle for linear multivariable regulators , 1975 .

[5]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[6]  J. Aplevich,et al.  Lecture Notes in Control and Information Sciences , 1979 .

[7]  Ali Saberi,et al.  Semi-global output regulation for linear systems subject to input saturation-a low-and-high gain design , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[8]  Zongli Lin,et al.  Output regulation for linear discrete-time systems subject to input saturation , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[9]  Ali Saberi,et al.  Output regulation for linear systems subject to input saturation , 1996, Autom..

[10]  Ali Saberi,et al.  An Improvement to the Low Gain Design for Discrete-Time Linear Systems Subject to Input Saturation - Solution of Semi-Global Output Regulation Problems , 1996 .

[11]  Meir Pachter,et al.  Toward improvement of tracking performance nonlinear feedback for linear systems , 1998 .

[12]  Zongli Lin,et al.  Low gain feedback , 1999 .

[13]  Ali Saberi,et al.  Control of Linear Systems with Regulation and Input Constraints , 2000 .

[14]  Matthew C. Turner,et al.  Non-linear tracking control for multivariable constrained input linear systems , 2000 .

[15]  Tingshu Hu,et al.  Output regulation of general linear systems with saturating actuators , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[16]  Ali Saberi,et al.  An improvement to the low gain design for discrete-time linear systems in the presence of actuator saturation nonlinearity , 2000 .

[17]  Ali Saberi,et al.  Performance with regulation constraints , 2000, Autom..

[18]  Tingshu Hu,et al.  Output regulation of general discrete-time linear systems with saturation nonlinearities , 2002 .

[19]  Tong Heng Lee,et al.  Composite nonlinear feedback control for linear systems with input saturation: theory and an application , 2003, IEEE Trans. Autom. Control..

[20]  Tong Heng Lee,et al.  Discrete-time composite nonlinear feedback control with an application in design of a hard disk drive servo system , 2003, IEEE Trans. Control. Syst. Technol..

[21]  Tingshu Hu,et al.  Output regulation of linear systems with bounded continuous feedback , 2004, IEEE Transactions on Automatic Control.

[22]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[23]  Chao Wu,et al.  Composite nonlinear control with state and measurement feedback for general multivariable systems with input saturation , 2005, Syst. Control. Lett..

[24]  Ben M. Chen,et al.  On improvement of transient performance in tracking control for a class of nonlinear systems with input saturation , 2006, Syst. Control. Lett..

[25]  Ben M. Chen,et al.  On Improving Transient Performance in Tracking Control for a Class of Nonlinear Discrete-Time Systems With Input Saturation , 2007, IEEE Transactions on Automatic Control.

[26]  Ben M. Chen,et al.  On selection of nonlinear gain in composite nonlinear feedback control for a class of linear systems , 2007, 2007 46th IEEE Conference on Decision and Control.

[27]  Lingji Chen,et al.  How to Tell a Bad Filter Through Monte Carlo Simulations , 2007, IEEE Transactions on Automatic Control.

[28]  Zongli Lin.  Low gain and low-and-high gain feedback: A review and some recent results , 2009, 2009 Chinese Control and Decision Conference.

[29]  Weiyao Lan,et al.  Output regulation for linear systems with input saturation by composite nonlinear feedback control , 2010, Proceedings of the 29th Chinese Control Conference.

[30]  Ben M. Chen,et al.  A Hard-Disk-Drive Servo System Design Using Composite Nonlinear-Feedback Control With Optimal Nonlinear Gain Tuning Methods , 2010, IEEE Transactions on Industrial Electronics.

[31]  Dan Wang,et al.  Composite Nonlinear Feedback Control for Output Regulation Problem of Linear Systems with Input Saturation , 2011 .

[32]  Weiyao Lan,et al.  Semi-global output regulation for linear systems with input saturation by output feedback CNF control , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[33]  Weiyao Lan,et al.  Improving transient performance for output regulation problem of linear systems with input saturation , 2013 .