混合系统的最优镇定  

Optimal Stabilization of Hybrid Dynamical Systems

作　　者：慕(王争) 张德昌[1] 

机构地区：[1]西北工业大学

出　　处：《西北工业大学学报》1989年第2期165-170,共6页Journal of Northwestern Polytechnical University

摘　　要：本文将文献[1]中用于离散系统的最优镇定定理推广到由离散系统和分布参数系统组成的混合系统,并讨论了由刚体和弹性体组成的受控混合系统的最优镇定问题。The optimal stabilization theorem,which is applicable to the hybrid dy- namical system consisting of a discrete system and a distributed parameter system,is presented in this paper.The previous research on optimal stabiliza- tion is restricted to discrete systems [1,7].Besides,the previous research on hybrid dynamical systems is confined to stability problems[4,8]. The new idea in the paper is believed to be that,for the first time,the optimal stabilization theorem is introduccd into hybrid dynamical systems. This makes solvable the optimal stabilization problem of hybrid dynamical sys- tems. Furthermore,as the generalized form of the optimal stabilization theorem of discrete systems,the theorem of hybrid dynamical systems can be applied not only to discrete systems,but to distributed parameter systems as well.By using the theorem,the optimal stabilization problems of all the above three systems can be solved.Thus,the applicable range of the theorem is enlarged so that it involves all of the systems we met before in this field. As the application of the theorem,the optimal stabilization problem of the system composed of controlled rigid bodies and elastic bodies is discussed and the expressions of optimal control are given.

关 键 词：最优镇定 混合系统 

分 类 号：T-55[一般工业技术]