文献类型：期刊文献

英文题名：Non-smooth bifurcation control of non-smooth systems with a canonical form

作者：Fu Shihui[1];Du Ying[2]

机构：[1]Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China;[2]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2015

卷号：81

期号：1-2

起止页码：773

外文期刊名：NONLINEAR DYNAMICS

收录：;EI(收录号：20151400710895);WOS:【SCI-EXPANDED(收录号:WOS:000355919700059)】；

基金：This research is partially supported by the National Nature Science Foundation of China (U1204106, 11372282 and 11401538).

语种：英文

外文关键词：Continuous system; Non-smooth bifurcation; Bifurcation control

摘要：In this paper, we investigated non-smooth bifurcation control of a piecewise-linear continuous system with a canonical form for the first time. We presented the conditions under which the system has only one stable or unstable equilibrium point. Furthermore, we eliminated some non-smooth bifurcations of the system, by designing two controllers, such as simultaneous feedback controller and switched feedback controller. Simultaneous feedback controller is linear, and switched feedback controller is piecewise-linear, which have all a simple structure and available control properties. Numerical simulations showed that these methods were effective.