Deconvolution H∞ filtering and admissibility analysis for Lur’e singular Markov jump systems

The article considers a deconvolution $H_{\infty}$ filter problem of Lur’e singular Markov systems (SMSs). Via applying singular value decomposition technology, considering sector bounded conditions, and establishing Lyapunov-Krasovskill (L-K) functional, admissibility couple with a $H_{\infty}$ performance index are gained of time-varying delays Lur’e SMSs. Then, deconvolution filter parameters are obtained. Finally, an oil catalytic cracking process (OCCP) is shown to demonstrate usefulness and feasibility of present outcome.