Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates

• Published in: Nonlinear analysis. Hybrid systems Vol. 15; pp. 52 - 62
• Main Authors: Zhao, Junjie, Wang, Jing, Park, Ju H., Shen, Hao
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.02.2015
• Subjects: Asymptotic properties; Control systems; Control theory; Delay; Feedback; Input saturation; Markov processes; Mathematical models; Partially known transition rates; State memory feedback; Stochastic Markov jump systems; Stochasticity; State memory feedback; Input saturation; Stochastic Markov jump systems; Partially known transition rates
• ISSN: 1751-570X; 1878-7460
• DOI: 10.1016/j.nahs.2014.07.002

This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is designed to guarantee that the resulted closed-loop constrained systems are mean-square stochastic asymptotically stable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.