物理学报Issue(20)：85-99,15.DOI:10.7498/aps.62.200503
基于脉冲宽度调制的滑模变结构控制的一阶H桥逆变器的分岔和混沌行为研究
Bifurcation and chaos in sliding mode controlled first-order h-bridge inverter based on pulse width modulation
摘要
Abstract
Sliding mode control (SMC) is recognized as a robust controller with fast dynamic response and high stability in a wide range of operating conditions, and therefore it is widely used in the control of inverter. The sliding mode controlled inverter is in nature a nonlinear controlled time-varying nonlinear system, and it has complicated nonlinear behaviors in practice. In this paper the sliding mode controlled first-order H-bridge inverter based on pulse width modulation is taken for example. First, through observation of the waveforms under different SMC parameters, a new type of bifurcation is discovered for the first time, in which diverse multi-period bifurcations exist at the same time. Second, the discrete time iterative model is established for the system and the folded diagram is employed to observe the waveforms. These analyses of current waveforms prove that the new type of bifurcation proposed in this paper is not a route to chaos. Moreover, the stability of the system is much concerned in engineering applications. However, because of the nonlinear characteristics of sliding mode controller, the method using eigenvalues of Jacobian matrix and other analytical methods are unsuitable for the system, and the graphic methods are not accurate enough. Finally, a criterion of fast-scale stability which can accurately distinguish the stability of the system is proposed, and it can be used to provide reliable reference for the parameter design of sliding mode controller.关键词
H桥逆变器/滑模变结构控制/新型分岔/稳定性判据Key words
H-bridge inverter/sliding mode control/new bifurcation/stability criterion引用本文复制引用
郝翔,谢瑞良,杨旭,刘韬,黄浪..基于脉冲宽度调制的滑模变结构控制的一阶H桥逆变器的分岔和混沌行为研究[J].物理学报,2013,(20):85-99,15.基金项目
国家自然科学基金(批准号:51177129)和国家高技术研究发展计划(批准号:2011AA05A305)资助的课题.*Project supported by the National Natural Science Foundation of China (Grant No.51177129) and the National High Technology Research and Deve-lopment Program of China (Grant No.2011AA05A305) （批准号:51177129）
