Input-output finite-time stabilization for MJSs with time-varying delay: An observer-based approach

摘要

This paper deals with the input-output finite-time stabilization problem for Markovian jump systems (MJSs) with incompletely known transition rates. An observer-based output feedback controller is constructed to study the input-output finite-time stability (IO-FTS) problem. By using the mode-dependent Lyapunov-krasovskii functional method, a sufficient criterion checking the IO-FTS problem is provided. Then, an observer and a corresponding state feedback controller for the individual subsystem are respectively designed to solve the input-output finite-time stabilization problem for the systems. Finally, a numerical example on the mass-spring system model is investigated to bring out the advantages of the control scheme proposed in this paper. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.