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A two‐stage searching method for continuous time‐delay systems identification
Author(s) -
Bai Meng,
Li Minhua
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2199
Subject(s) - robustness (evolution) , identification (biology) , convergence (economics) , interval (graph theory) , computer science , reliability (semiconductor) , algorithm , variable (mathematics) , mathematical optimization , control theory (sociology) , mathematics , control (management) , artificial intelligence , mathematical analysis , biochemistry , chemistry , botany , power (physics) , physics , combinatorics , quantum mechanics , gene , economics , biology , economic growth
This paper presents a novel method to estimate the unknown parameters of continuous‐time systems with time delay. In the proposed method, the time delay and plant parameters are estimated separately. To estimate the time delay, a one‐dimensional searching method with variable step size is proposed to improve computational efficiency. The searching method consists of two stages: the coarse stage and the refined searching stage. To analyze the convergence of the searching method, the concept of significant interval is proposed. By defining the significant interval, a sufficient condition for global convergence of the searching method is provided. Based on the two‐stage searching method, a novel identification algorithm is developed in which the simplified refined instrumental variable for continuous‐time models algorithm is used to estimate the plant parameters. Simulation results demonstrate that the proposed identification method can estimate the unknown parameters of continuous‐time system with time delay efficiently. The estimation results under different noisy conditions verify the reliability and robustness of the proposed method. The applicability of the developed identification method is demonstrated by a practical example.