Stochastic Stabilization of Packet-Based Networked Control Systems

Abstract

In the previous chapters the communication constraints including network-induced delay, data packet dropout and data packet disorder, are all assumed to be deterministic which, however, are actually stochastic in nature. This observation motivates the study in this chapter on the stochastic stabilization of PBNCSs under the Markov jump system framework, where the network-induced delay (data packet dropout as well) in round trip is modeled as a homogeneous ergodic Markov chain. Under this framework, the sufficient and necessary conditions for stochastic stability and stabilization of PBNCSs are obtained, which can be compared with the deterministic analysis in Chap. 2 where only sufficient conditions to guarantee the closed-loop stability are obtained and no stabilization analysis is given.