A new Saturation function to convert an output constraint into an input constraint

The main result of our new method is to convert an output constraint into an input constraint for a nonlinear system. Then, standard saturated input design can be used as an anti-windup design for instance which is known to be efficient to enlarge a closed-loop system stability domain in presence of control saturations. We only address the single input single `saturated' output problem in this paper.

[1]  Tingshu Hu.  Nonlinear feedback laws for practical stabilization of systems with input and state constraints , 2008, 2008 47th IEEE Conference on Decision and Control.

[2]  D. Bernstein,et al.  A chronological bibliography on saturating actuators , 1995 .

[3]  Panagiotis D. Christofides,et al.  Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control , 2005, ACC.

[4]  M. Zeitz,et al.  Feedforward control design for finite-time transition problems of non-linear MIMO systems under input constraints , 2008, Int. J. Control.

[5]  Matthew C. Turner,et al.  Output violation compensation for systems with output constraints , 2002, IEEE Trans. Autom. Control..

[6]  J. R. Cloutier,et al.  The state-dependent nonlinear regulator with state constraints , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[7]  Luca Zaccarian,et al.  Modern Anti-windup Synthesis: Control Augmentation for Actuator Saturation , 2011 .

[8]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[9]  G. Goodwin,et al.  A SIMPLE ANTI-WINDUP STRATEGY FOR STATE CONSTRAINED LINEAR CONTROL , 2002 .

[10]  Frank Allgöwer,et al.  Nonlinear Model Predictive Control , 2007 .

[11]  Ilya V. Kolmanovsky,et al.  Nonlinear tracking control in the presence of state and control constraints: a generalized reference governor , 2002, Autom..

[12]  R. Mahony,et al.  Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[13]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .