摘要
通过罚函数方法 ,受约束时间最优控制问题的求解可转化为对带罚函数的无约束最优控制问题的求解 .文中证明当罚因子趋于无穷大时 ,用罚函数构造的无约束最优控制问题的解收敛于原来受约束时间最优控制问题的解 。
Optimal control prolem is always one of the most difficult optimal problems, especially the time optimal control problem with the constraints related with the state variables. By using the penalty function algorithm, the time optimal control problem with constraints can be turned to a series of optimal control problems without constraints. This paper proves that the solutions of these optimal control problems without constraints converge to that of the time optimal control problen with constraints. It provides a theory base in using penalty function algorithm to solve time optimal control problem with the constraints.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2001年第7期1103-1104,1112,共3页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金 (5 9876 0 2 1)
上海交通大学博士启动基金资助项目
