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\(H_2/H_{\infty }\) Control for Networked Control Systems with Asynchronous Communication

  • Luis OrihuelaEmail author
  • Carlos Vivas
Chapter

Abstract

This chapter tackles the problem of designing suboptimal \(H_{2}/H_{\infty }\) controllers for linear NCSs subject to time-varying delays and packet dropouts. The approach relies on the formulation of the problem in terms of the minimization of a single scalar parameter that can be cast as an standard LMI problem, yielding a suboptimal cost-guaranteed solution. The formulation allows to trade-off performance and disturbance rejection, as the \(H_2\) part of the control accounts for the optimization of a quadratic performance index, with an \(L_2\)-gain disturbance rejection constraint in the \(H_{\infty }\) component. To characterize the network, only the lower and upper bounds for the delay interval, as well as the maximum number of consecutive dropouts are required. As a difference from previous works, the solution provided is independent of initial conditions.

Keywords

Network Control System Disturbance Rejection Asynchronous Communication Disturbance Attenuation Packet Dropout 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Dpto. de Matemáticas e Ingeniería, Escuela Técnica Superior de IngenieríaUniversidad Loyola AndalucíaSevilleSpain
  2. 2.Dpto. de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de IngenierosUniversidad de SevillaSevilleSpain

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