Decentralised finite-time control equation of large-scale switched systems using robust performance minimisation

Lu Han, Jian Xiao, Cunyong Qiu and Jingchun Huang

International Journal of Systems Science, 2016, vol. 47, issue 10, 2302-2317

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.

Date: 2016
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DOI: 10.1080/00207721.2014.992817

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