Overall convergence rate of delta operator systems subject to actuator saturation

Abstract

Summary In this paper, overall convergence rate is considered for a delta operator system with actuator saturation. A saturation feedback law is presented for the delta operator system to obtain a desired overall convergence rate. Some properties on the overall convergence rate are revealed for time‐optimal actuator saturation delta operator systems. Limitations on the overall convergence rate are also investigated by proposed methods. An optimization problem is solved through a linear matrix inequality method to obtain the domain of attraction and overall convergence rate. Two numerical examples are provided to demonstrate the effectiveness of the proposed techniques. Copyright © 2017 John Wiley & Sons, Ltd.

Stabilization bound of singularly perturbed switched nonlinear systems subject to actuator saturation using the Takagi–Sugeno fuzzy model

“…The strategies for handling actuator saturation fall into two categories. One is to think of the saturation effects from the beginning of controller design [26][27][28][29]. The other is known as the twostep design approach that first designs a nominal controller ignoring the control constraints and then lessens the saturation effects with the help of the designed antiwindup compensator [30][31][32][33].…”