Improved H∞ deconvolution filter design for Lur’e singular Markovian jump systems based on sector bounded condition

Abstract

This paper investigates the deconvolution filter for Lur’e time-varying delays singular Markovian jump systems. Firstly, by establishing mode-dependent Lyapunov–Krasovskill functional and considering sector bounded conditions, stochastic stability conditions and H∞ performance index are obtained for Lur’e singular Markovian jump systems. Secondly, both regularity and impulse-freeness are acquired by singular value decomposition technique. Thirdly, deconvolution filter is realized by virtue of linear matrix inequalities. Ultimately, the utility of this present method is validated by a numerical example and an oil catalytic cracking process.