Decentralised H∞ finite-time control equation of large-scale switched systems using robust performance minimisation. Issue 10 (26th July 2016)

• Record Type: Journal Article
• Authors: Han, Lu; Xiao, Jian; Qiu, Cunyong; Huang, Jingchun
• Is Part Of: International journal of systems science. Volume 47:Issue 10(2016)
• Page Start: 2302
• Page End: 2317
• Publication Date: 2016-07-26
• Subjects: large-scale switched system -- decentralised finite-time boundedness -- decentralised H∞ controller design -- optimisation -- average dwell time; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.992817
• Languages: English
• ISSNs: 0020-7721

Abstract

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.