Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbau...Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.展开更多
因负载变化、磁路机构的偏移以及元器件的老化等因素导致的双LCL型感应电能传输(inductively power transfer,IPT)系统出现输出电压变化及系统频率漂移等不确定性问题会加剧系统性能的恶化,为此,针对双LCL型IPT系统在负载摄动和干扰下...因负载变化、磁路机构的偏移以及元器件的老化等因素导致的双LCL型感应电能传输(inductively power transfer,IPT)系统出现输出电压变化及系统频率漂移等不确定性问题会加剧系统性能的恶化,为此,针对双LCL型IPT系统在负载摄动和干扰下的稳压输出,设计闭环系统的鲁棒控制器。首先采用广义状态空间平均法建立系统频域模型,将实际被控对象的模型转化为广义系统,借助上线性分式变换分离系统的标称部分和不确定部分,得到广义被控对象模型。然后,基于该模型设计H_∞鲁棒控制器,并利用结构奇异值的频率响应校验闭环系统的鲁棒稳定性及鲁棒性能。仿真和实验结果表明该控制器可以较好地保证双LCL型IPT系统的标称性能和鲁棒性能,验证了该模型和控制方法的有效性和可行性。展开更多
基金This project partially supported by National Natural Science Foundation of ChinaThis work was partially supported by NSERC of Canada under grant A-8096
文摘Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.
文摘因负载变化、磁路机构的偏移以及元器件的老化等因素导致的双LCL型感应电能传输(inductively power transfer,IPT)系统出现输出电压变化及系统频率漂移等不确定性问题会加剧系统性能的恶化,为此,针对双LCL型IPT系统在负载摄动和干扰下的稳压输出,设计闭环系统的鲁棒控制器。首先采用广义状态空间平均法建立系统频域模型,将实际被控对象的模型转化为广义系统,借助上线性分式变换分离系统的标称部分和不确定部分,得到广义被控对象模型。然后,基于该模型设计H_∞鲁棒控制器,并利用结构奇异值的频率响应校验闭环系统的鲁棒稳定性及鲁棒性能。仿真和实验结果表明该控制器可以较好地保证双LCL型IPT系统的标称性能和鲁棒性能,验证了该模型和控制方法的有效性和可行性。
