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Optimal L-2-gain networked control design with Lyapunov Krasovskii functionals

Authors

MILLÁN GATA, PABLO, ORIHUELA ESPINA, DIEGO LUIS, Vivas, Carlos , Rubio, Francisco R.

External publication

Si

Means

Rev. Iberoam. Autom. Inform. Ind.

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

0.375

SJR Impact

0.192

Publication date

01/01/2012

ISI

000299864100003

Abstract

This paper deals with the problem of optimal control design for linear network control systems (NCS) with L-2-gain disturbance rejection. Networked control systems close the control loop using a communication network, that usually accounts for network-induced delays and packet dropouts. Resorting to Lyapunov Krasovskii functionals (LIU), the problem of stabilization of NCS with joint performance index optimization and L-2-gain disturbance rejection is addressed. The paper initially develops a general solution for the problem, then an specific LKF is particularized to provide a solution in terms of linear matrix inequalities. Performance of the proposed control structure is shown by simulations comparing with LQR control on an intervehicle distance regulation problem.

Keywords

Communication networks; Delay compensation; Lyapunov methods; Optimal control; Delays

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