STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1410-1421.

STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

徐建国¹, 贾军国²

1. Department of Information Science and Engineering, Foshan University, Foshan, Guangdong 528000, P. R. China;
2. Department of Mathematics and Mechanics, Zhengzhou University of Technology, Zhengzhou 450002, P. R. China

收稿日期:1999-12-15 修回日期:2001-05-16 出版日期:2001-12-18 发布日期:2001-12-18
基金资助:
the National Natural Science Foundation of China(19402014);Natural Science Foundation of Guangdong Province(960528)

STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

XU Jian-guo¹, JIA Jun-guo ²

1. Department of Information Science and Engineering, Foshan University, Foshan, Guangdong 528000, P. R. China;
2. Department of Mathematics and Mechanics, Zhengzhou University of Technology, Zhengzhou 450002, P. R. China

Received:1999-12-15 Revised:2001-05-16 Online:2001-12-18 Published:2001-12-18
Supported by:
the National Natural Science Foundation of China(19402014);Natural Science Foundation of Guangdong Province(960528)

摘要/Abstract

摘要： The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed parameter system with multi-body flexible and multi-topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynamics and control of the system with multi-body flexible structure, and have important engineering significance.

Abstract: The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed parameter system with multi-body flexible and multi-topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynamics and control of the system with multi-body flexible structure, and have important engineering significance.

中图分类号:

徐建国;贾军国. STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1410-1421.

XU Jian-guo;JIA Jun-guo . STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1410-1421.

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STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

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