THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (Ⅰ)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 135-142.

THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (Ⅰ)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION

吴志刚¹, 王本利¹, 马兴瑞²

1. Harbin Institute of Technology, Harbin 150001, P. R. China;
2. Chinese Academy of Space Technology, Beijing 100081, P. R. China

收稿日期:1997-10-13 修回日期:1998-07-06 出版日期:1999-02-18 发布日期:1999-02-18
基金资助:
Project supported by the National the Across Century Scientist Foundation Defence Science and Technology Foundation(A966000-50)and from the State Education Commission of China

THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (I)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION

Wu Zhigang¹, Wang Benli¹, Ma Xingrui ²

1.Harbin Institute of Technology, Harbin 150001, P. R. China;
2. Chinese Academy of Space Technology, Beijing 100081, P. R. China

Received:1997-10-13 Revised:1998-07-06 Online:1999-02-18 Published:1999-02-18
Supported by:
Project supported by the National the Across Century Scientist Foundation Defence Science and Technology Foundation(A966000-50)and from the State Education Commission of China

摘要/Abstract

摘要： Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory of deterministic system,dyna-mics system parameters identfication problem is brought into correspondence with optimal control problem.Then the theory and algorithm of optimal control are introduced into the study of dynamic system parameters identification.According to the theory of Hamilton-Jacobi-Bellman (HJB)equations solution, the existence and uniqueness of optimal control solution to dynamic system parameters identification are resolved in this paper.At last, the parameters identification algorithm of determi-nistic dynamic system is presented also based on above mentioned theory and concept.

关键词: dynamic system, parameters identification, optimal control, HJBEquation

Abstract: Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory of deterministic system,dyna-mics system parameters identfication problem is brought into correspondence with optimal control problem.Then the theory and algorithm of optimal control are introduced into the study of dynamic system parameters identification.According to the theory of Hamilton-Jacobi-Bellman (HJB)equations solution, the existence and uniqueness of optimal control solution to dynamic system parameters identification are resolved in this paper.At last, the parameters identification algorithm of determi-nistic dynamic system is presented also based on above mentioned theory and concept.

Key words: dynamic system, parameters identification, optimal control, HJBEquation

吴志刚;王本利;马兴瑞. THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (Ⅰ)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 19(2): 135-142.

Wu Zhigang;Wang Benli;Ma Xingrui . THEORY AND METHOD OF OPTIMAL CONTROL SOLUTION TO DYNAMIC SYSTEM PARAMETERS IDENTIFICATION (I)──FUNDAMENTAL CONCEPT AND DETERMINISTIC SYSTEM PARAMETERS IDENTIFICATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 19(2): 135-142.

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