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Overall convergence rate of delta operator systems subject to actuator saturation
Authors:Hongjiu Yang  Peng Li  Yuanqing Xia  Qing Geng
Affiliation:1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China;2. School of Automation, Beijing Institute of Technology, Beijing, China
Abstract: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.
Keywords:overall convergence rate  delta operator system  actuator saturation  linear matrix inequality
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