摘要
考虑时滞线性自治切换正系统,将切换次序参数化作为系统的离散输入,通过系统的等价转换,分析时滞线性自治切换正系统的最优控制问题。利用极小值原理,给出满足性能指标的最优切换次序条件,分析时滞项对性能指标和切换时刻的影响,最后给出数值例子验证结论的有效性。
The autonomous switched positive systems with delay are considered and the switching sequences are parameterized as discrete control input. Through the transformation of equivalent systems, the optimal control problem of linear autonomous switched positive systems with delay is researched. Based on the Minimal Value Principle, the optimal conditions of switching sequences are obtained and the influence of the delay term on the performance index and the switching instants are analyzed. Finally, a numerical example are given to illustrate the effectiveness of the conclusions.
出处
《自动化技术与应用》
2014年第2期1-4,8,共5页
Techniques of Automation and Applications
关键词
切换正系统
切换次序参数化
最优控制
switched positive systems
switching sequence parameterization
optimal control
