控制理论与应用2013，Vol.30Issue(7)：815-820,6.DOI:10.7641/CTA.2013.12087
切换线性系统的聚合优化
Optimal aggregation of switched linear systems
摘要
Abstract
This paper investigates the stability and optimization problems for switched linear systems.An optimal conjugate gradient algorithm with Armijo steps is presented to search the optimal time instants under proper cost functions.To ensure that the optimal switching paths are contractive,a constrained expression of those cost functions is established.Some optimal pathwise state-feedback switching laws are designed to search the optimal switching paths of aggregated systems.The switching paths are sub-optimal switching paths of the original switched linear systems.Finally,an example is provided to demonstrate the switching strategies and optimal costs under different switching laws.关键词
稳定性/切换线性系统/聚合系统/分段状态反馈切换律/可压缩性Key words
stability/ switched linear systems/ aggregated systems/ pathwise state-feedback switching/ contractivity分类
信息技术与安全科学引用本文复制引用
祝庚,孙振东..切换线性系统的聚合优化[J].控制理论与应用,2013,30(7):815-820,6.基金项目
This paper was supported by the National Natural Science Foundation of China (No.60925013). （No.60925013）
