中国科学:信息科学(英文版)2024,Vol.67Issue(8) :186-201.DOI:10.1007/s11432-023-3980-0

State estimation for delayed switched positive systems:delayed radius approach

Weizhong CHEN Zhongyang FEI Xudong ZHAO Zheng-Guang WU
中国科学:信息科学(英文版)2024,Vol.67Issue(8) :186-201.DOI:10.1007/s11432-023-3980-0

State estimation for delayed switched positive systems:delayed radius approach

Weizhong CHEN 1Zhongyang FEI 2Xudong ZHAO 2Zheng-Guang WU3
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作者信息

  • 1. School of Electronics and Information,Xi'an Polytechnic University,Xi'an 710048,China;Research Institute of Intelligent Control and Systems,Harbin Institute of Technology,Harbin 150001,China
  • 2. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,Dalian University of Technology,Dalian 116024,China School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China
  • 3. State Key Laboratory of Industrial Control Technology,Institute of Cyber-Systems and Control,Zhejiang University,Hangzhou 310027,China
  • 折叠

Abstract

In this paper,an interval estimation scheme is developed for delayed switched positive systems(DSPS)with mode-dependent average dwell time switching.A lossless zonotopic estimation approach is proposed for the delayed intersection zonotope with the positive generator matrix.First,considering the existence of asynchronism between the system mode and the correction matrix mode,the mismatched inter-section zonotope is constructed for DSPS to verify the consistency between the system model and outputs.Then,by utilizing the introduced radius definitions,the ℓ∞ performance is addressed to optimize the size of delayed intersection zonotopes.Subsequently,we present a joint-design approach of switching signals and the mode-dependent correction matrix by constructing positive generator matrix-based delayed radius func-tions.Furthermore,guaranteed nonnegative state bounds are derived for the considered DSPS based on the proposed lossless zonotopic estimation criteria.Finally,detailed simulations are conducted to validate the feasibility and superiority of the developed methods.

Key words

delayed switched positive systems/interval estimation/asynchronous correction matrix/zono-topes/mode-dependent average dwell time

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基金项目

National Natural Science Foundation of China(62273069)

Liaoning Revitalization Talents Program(XLYC2203163)

Natural Science Foundation of Shaanxi(2024JC-YBQN-0671)

PhD Research Startup Foundation of Xi'an Polytechnic University(310-107020646)

出版年

2024
中国科学:信息科学(英文版)
中国科学院

中国科学:信息科学(英文版)

CSTPCDEI
影响因子:0.715
ISSN:1674-733X
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