Output‐Feedback H∞ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

ABSTRACT This paper addresses the problem of dynamic output‐feedback detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to facilitate the treatment of fixed‐order dynamic output‐feedback controllers, detector‐based control signals, parametric uncertainties affecting the transition rate matrices, and feedback of the nonlinearity value (when available). The design framework is expressed through LMI‐based algorithms, and the effectiveness and advantages of the proposed method are demonstrated via numerical experiments based on physically motivated models.