On stability and H∞ control of switched systems with random switching signals

• Autores: Weiming Xiang, James Lam, Panshuo Li--
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 95, 2018, págs. 419-425
• Idioma: inglés
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• Resumen

  • In this paper, the stability analysis and H∞ control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H∞ control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.