NETE Vehicle Following problem: A Control Approach for Uncertain Systems with Lossy Networks

Abstract

In the present work, a control system based in
Networked Control Systems is proposed, in order to provide a
suitable solution to the vehicle following problem. This problem
presents the two main obstacles: the first been the difficulty in the
identification process (leading to uncertain numerical models)
and the second one is the data communication is inevitably made
via a lossy network. An appropriate solution that deals with both
characteristics is proposed a static output feedback controller
design. Regarding the lossy network problem the Markovian
Jump Linear System framework is used to model the controller
considering the network behavior, with respect to the
uncertainties the system is model in a polytopic manner, and the
controller design uses a polynomial Lyapunov equation with an
arbitrary degree to solve the optimization problem in Linear
Matrix Inequalities form. To analyze the control system
performance the Hoo norm is used. At the end of the paper, a
numerical example is presented with the intention to illustrate the
suitability of the proposed solution.