摘要
时间最优控制在航天器的快速姿态控制中有着重要的工程应用背景,变分法和庞特里亚金提出的极小值原理是解决该问题的理论途径。本文旨在Bang-Bang控制的理论基础上,首先构造Hamilton函数,然后在Matlab环境下求解状态向量,最后寻求最优控制及开关线,解决一类存在阻尼力及恢复力系统的时间最优控制问题。
Time-optimal control has important engineering application background in the control of spacecraft＇s attitude.Calculus of variations and Pontryagin＇s theory of Maximum principle is a way to solve the problem of the time-optimal control.This paper based on Bang-Bang control theory, first of all,structure Hamilton function, and then using Matlab to solve state vector, finally, to seek optimal control and switch line. Using this method to solve a kind of problem that exist damping force and restoring force.
出处
《自动化与仪器仪表》
2013年第2期1-2,共2页
Automation & Instrumentation
基金
四川省教育厅重点科研项目(12ZA193)
