Semi-global output regulation for linear systems with input saturation by output feedback CNF control

This paper proposes an output feedback composite nonlinear feedback (CNF) control method for semi-global output regulation problem of linear systems with input saturation. Based on the state feedback CNF control law for the semi-global output regulation problem, an observer is designed to construct an output feedback CNF control law that also solves the semi-global output regulation problem. A sufficient solvability condition for semi-global output regulation problem is established in the paper. It is shown that the solvability condition of the semi-global output regulation problem by output feedback CNF control is the same as that of the semi-global output regulation problem by output feedback linear control. Thus, the CNF control technique can be applied to improve the transient performance for the semi-global output regulation problem. The improvement of the transient performance is illustrated by a regulation problem of a benchmark translational oscillator with rotational actuator system.

[1]  Ali Saberi,et al.  A Semi-Global Low-and-High Gain Design Technique for Linear Systems with Input Saturation - Stabiliz , 1993 .

[2]  Zongli Lin,et al.  Output regulation for linear systems subject to input saturation , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[3]  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.

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

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

[6]  Dennis S. Bernstein,et al.  A BENCHMARK PROBLEM FOR NONLINEAR CONTROL DESIGN , 1998 .

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

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

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

[10]  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..

[11]  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.

[12]  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.

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

[14]  Tong Heng Lee,et al.  Modeling and Control of the Yaw Channel of a UAV Helicopter , 2008, IEEE Transactions on Industrial Electronics.

[15]  Zongli Lin,et al.  An overview of the development of low gain feedback and low-and-high gain feedback , 2009, J. Syst. Sci. Complex..

[16]  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.

[17]  Xiao Yu.  COMPOSITE NONLINEAR FEEDBACK CONTROL FOR AN UNDERACTUATED GANTRY SYSTEM , 2011 .