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

• Articles • Previous Articles     Next Articles

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. 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

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

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals