State estimation for delayed switched positive systems:delayed radius approach  

作　　者：Weizhong CHEN Zhongyang FEI Xudong ZHAO Zheng-Guang WU 

机构地区：[1]School of Electronics and Information,Xi'an Polytechnic University,Xi'an 710048,China [2]Research Institute of Intelligent Control and Systems,Harbin Institute of Technology,Harbin 150001,China [3]Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,Dalian University of Technology,Dalian 116024,China [4]School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China [5]State Key Laboratory of Industrial Control Technology,Institute of Cyber-Systems and Control,Zhejiang University,Hangzhou 310027,China

出　　处：《Science China(Information Sciences)》2024年第8期186-201,共16页中国科学（信息科学）（英文版）

基　　金：supported in part by National Natural Science Foundation of China (Grant No. 62273069);Liaoning Revitalization Talents Program (Grant No. XLYC2203163);Natural Science Foundation of Shaanxi (Grant No. 2024JCYBQN-0671);PhD Research Startup Foundation of Xi’an Polytechnic University (Grant No. 310-107020646)

摘　　要：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 intersection 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 functions. 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.

关 键 词：delayed switched positive systems interval estimation asynchronous correction matrix zono-topes mode-dependent average dwell time 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]