现今大容量远距离输电系统已成为必然的发展趋势,但其由于系统自身机构可能会引起次同步谐振从而破坏电力系统的稳定性。为了降低次同步谐振带来的影响,以IEEE Second Benchmark Model作为基础模型,介绍了基于时滞反馈理论所设计的新型...现今大容量远距离输电系统已成为必然的发展趋势,但其由于系统自身机构可能会引起次同步谐振从而破坏电力系统的稳定性。为了降低次同步谐振带来的影响,以IEEE Second Benchmark Model作为基础模型,介绍了基于时滞反馈理论所设计的新型控制器并运用其来抑制由于次同步谐振所引起的轴系扭曲。同时借助于特征根聚类法(CTCR)计算出时滞反馈控制器的稳定时间延迟区域。最后以非线性模型的时域仿真来校验时滞反馈控制器抑制次同步轴系谐振的效果,通过仿真可以得出时滞反馈控制系统能有效地抑制次同步谐振。展开更多
By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f...By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f（n,x（n-τ1（n））,…,x（n-τm（n））,u（n-δ（n）））,△u（n）=-η（n）u（n）＋a（n）x（n-σ（n））,n∈Z.展开更多
This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique...This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique, a newapproach is proposed to derive some new exponential synchronization criteria.The restriction that the control widthhas to be larger than the time delay is removed.This leads to a larger application scope for our method.Moreover, notranscendental equation is involved in the obtained result, which reduces the computational burden.Two examples aregiven to validate the theoretical results.展开更多
The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogene...The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.展开更多
文摘现今大容量远距离输电系统已成为必然的发展趋势,但其由于系统自身机构可能会引起次同步谐振从而破坏电力系统的稳定性。为了降低次同步谐振带来的影响,以IEEE Second Benchmark Model作为基础模型,介绍了基于时滞反馈理论所设计的新型控制器并运用其来抑制由于次同步谐振所引起的轴系扭曲。同时借助于特征根聚类法(CTCR)计算出时滞反馈控制器的稳定时间延迟区域。最后以非线性模型的时域仿真来校验时滞反馈控制器抑制次同步轴系谐振的效果,通过仿真可以得出时滞反馈控制系统能有效地抑制次同步谐振。
基金Supported by the National Natural Sciences Foundation of China(10361006)Supported by the Natural Sciences Foundation of Yunnan Province(2003A0001M)Supported by the Jiangsu "Qing-lanProject" for Excellent Young Teachers in University(2006)
文摘By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f（n,x（n-τ1（n））,…,x（n-τm（n））,u（n-δ（n）））,△u（n）=-η（n）u（n）＋a（n）x（n-σ（n））,n∈Z.
基金Supported by the National Natural Science Foundation of China under Grant Nos.60774039,60974024,and 61074089CityU Research Enhancement Fund 9360127,CityU SRG 7002355
文摘This paper concerns with the master-slave exponential synchronization analysis for a class of general Lur'esystems with time delay.Different from the previous methods based on the differential inequality technique, a newapproach is proposed to derive some new exponential synchronization criteria.The restriction that the control widthhas to be larger than the time delay is removed.This leads to a larger application scope for our method.Moreover, notranscendental equation is involved in the obtained result, which reduces the computational burden.Two examples aregiven to validate the theoretical results.
基金supported by the National Natural Science Foundation of China under Grant Nos.61374038,61473079,and 61374060
文摘The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.
