Dissipativityof Nonlinear Networked Control Systems Modeled by Markovian Jump System

Abstract

Networked control system (NCS) is a control system in which the control loop is closed by a shared communication networked. There are some parameters that arise when using a network in an NCS such as packet dropout, time delay, limited bandwidth, and so forth. Due to the stochastic property of such parameters, the entire system under consideration realizes the Markovian jump system. This paper considers a dissipativity notion for a class of nonlinear networked control systems. Dissipativity refers to the existence of a supply rate function dealing with the system such that the system has a dissipative property. The main result in this paper is a solvability condition for achieving dissipativity of a class of nonlinear networked control systems modeled by Markovian jump system. The solvability condition is shown by the nonlinear matrix inequalities (NLMI).