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Overall convergence rate of delta operator systems subject to actuator saturation
Author(s) -
Yang Hongjiu,
Li Peng,
Xia Yuanqing,
Geng Qing
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3754
Subject(s) - delta operator , rate of convergence , operator (biology) , saturation (graph theory) , control theory (sociology) , convergence (economics) , actuator , mathematics , mathematical optimization , computer science , channel (broadcasting) , compact operator , shift operator , economics , control (management) , biochemistry , chemistry , repressor , combinatorics , artificial intelligence , programming language , economic growth , computer network , transcription factor , extension (predicate logic) , gene
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.