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Abstract
Many actual engineering applications can be modelled as large-scale switched system, while switching behaviours often occur in some short finite time intervals; thus, it is significant to ensure the finite-time boundedness of large-scale switched system in practical terms. In this paper, the problems of finite-time stability analysis and stabilisation for large-scale switched system are addressed. First, considering different switching signals for subsystems, the concepts of decentralised finite-time boundedness (DFTB) and decentralised finite-time H∞ controllers are introduced, which focus on the dynamical transient behaviour of large-scale switched system during finite intervals. Under these concepts, several sufficient conditions are given to ensure a class of large-scale systems decentralised finite-time stable based on the decentralised average dwell times, and then the results are extended to H∞ finite-time boundedness of large-scale switched system. Finally, based on the results on DFTB, optimal decentralised H∞ controllers and average dwell times are designed under the minimum value of H∞ performance. Numerical examples are given to illustrate the effectiveness of the proposed approaches in this paper.
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Lu Han
Lu Han was born in Taiyuan, P.R. China, in 1984. She received her BS degree in electrical engineering and automation in 2007 and MS degree in power system and automation in 2010, both from Shanxi University, Taiyuan, P.R. China. Now, she is pursuing PhD in power electronics and electric drive, Southwest Jiaotong University, Chengdu, P.R. China. Her current research interests include control and optimisation of switched systems, robust control and optimal control.
Jian Xiao
Jian Xiao was born in Hengyang, China. He received his BS and MS degrees in electrical engineering from Hunan University, and PhD from Southwest Jiaotong University. Now, he is the professor and the Chairman of the Department of Power Electronics at the Southwest Jiaotong University. He is also the Vice President of the Sichuan Association of Automation and Instrumentation. His research interests include robust control, fuzzy systems and power electronics.
Cunyong Qiu
Cunyong Qiu was born in Jiuzhaigou, China, in 1986. He received the MS degree in electrical engineering and automation and PhD degree in power electronics and electric drive, both from Southwest Jiaotong University, Chengdu, China, in 2007 and 2013. He is currently teaching in the School of Electrical and Information, Southwest Petroleum University. His research interests include pattern recognition, fuzzy clustering and data-driven control.
Jingchun Huang
Jingchun Huang was born in Daan, China, in 1973. He received the MS degree in mechanical and electronic engineering and PhD degree in traffic information engineering and control, both from Southwest Jiaotong University, Chengdu, China, in 2003 and 2009. He is currently teaching in the School of Electrical Engineering, Southwest Jiaotong University. His research interests include fuzzy control and adhesion control of locomotive.