Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space
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摘要: 利用现代数学方法,在函数空间中研究了一类无穷维系统动力学、稳定性与控制问题.首先提出并建立了具有阻尼、陀螺部件和约束阻尼的多拓扑结构多挠体分布参数系统动力学控制模型;其次给出并论证了多体挠性结构特征、系统分析结果--可控可观性充要条件、稳定性理论和系统的渐近性质.研究的结果扩充和发展了本领域关于多挠体系统动力学与控制的理论成果,具有重要的工程意义.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 paramater system with multi-body flexible and milti-topological structure was established which has damping, gyroscopic parts and constrained damping's econdly, 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 dynmaics and control of the system with multi-body flexible structure, and have important engineering significance.
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Key words:
- multi-flexible-body system /
- dynamics /
- stability /
- control /
- functional space
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[1] Hughes P C,Skelton R E.Controllability and obse rvability of linear matrix-second order system[J].ASME J Appl Mech,1980,47(2):415-420. [2] Damaren C T,D'Eleuterio G M T.Controllability and obser vability of gyroelastic vehicles[J].J Guidance Control Dynam,1991,14(5):886-894. [3] Yong B,Mote C D J.Controllability and observability of distribut ed gyroscopic system[J].ASME J Dynam Sys Meas Contr,1991,113(1):11-16. [4] 王照林.运动稳定性及其应用[M].北京:高等教育出版社,19 92. [5] Goodstein H.Classical Mechanics[M].2nd ed.Readin g,MA:Addison Vesley,1980. [6] Curtain R,Prichard A.Infinite Dimensional System Theory[M].New York:Springer-Verlag,1978. [7] Chen G,Fulling S A,Narcowich F J,et al.Exponential decay of energy of evolution equations with locally distributed damping[J].SIAM J Appl Math,1991,51(1):266-301. [8] Taylor A E.Introduction to Functional Analysis[M].2nd ed.New York:John Wiley and Sons,1980. [9] Pazy A.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].Berlin:Springer-Verlag,1983. [10] Banks S P.State Space and Frequency Methods in the Control of Distributed Parameter Systems[M].London:Peter Peregrints Ltd,1983. [11] Huang F L.Some problems for linear elastic systems with damping [J].Acta Math Sci,1990,10(3):319-326. [12] Kato T.Perturbation Theory for Linear Operators[M].2nd ed.Berlin:Springer-Verlag,1980. [13] YU Jing-yuan,ZHU Guang-tian.Asympototic property of flying post ure of long and thin flyer[J].Science in China,Series A,1984,27(9):990-1002. [14] Balakrishann A V.Damping operators on continum models of flexi ble structure:Explicity models for proportional damping in beam bending with en d-bodies[J].Appl Math Optimiz,1990,21(3):315-334. [15] 钱学森,宋建.工程控制论[M].上册.北京:科学出版社,1980. [16] 关肇直.泛函分析讲义[M].北京:高等教育出版社,1958.
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