Robust guaranteed cost control for a nonlinear neutral system with infinite delay

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Abstract

The paper presents new results for the robust guaranteed cost control problem for a nonlinear neutral system having infinite delay with a given quadratic cost function. A delay dependent stability criterion, based on a model transformation technique, is proposed. A state feedback control law is then designed using the Razumikhin stability approach and the Lyapunov matrix equation to ensure not only the closed-loop systems robust stability but guarantee that the closed-loop cost function value remains within a specified bound. The problem of designing the optimal guaranteed cost controller is also given in terms of inequalities. An example illustrates the theoretical results.
Original languageEnglish
Title of host publication2015 European Control Conference (ECC)
PublisherIEEE
Pages1255 - 1260
ISBN (Print)9781467371605
DOIs
Publication statusPublished - 2015
Event2015 European Control Conference - Linz, Austria
Duration: 15 Jul 201517 Jul 2015

Conference

Conference2015 European Control Conference
Abbreviated titleECC
CountryAustria
CityLinz
Period15/07/1517/07/15

Bibliographical note

The full text is not available on the repository.

Keywords

  • Lyapunov matrix equations
  • closed loop systems
  • control system synthesis
  • delays
  • nonlinear control systems
  • optimal control
  • robust control
  • state feedback
  • Lyapunov matrix equation
  • Razumikhin stability approach
  • closed-loop cost function value
  • delay dependent stability criterion
  • infinite delay
  • model transformation technique
  • nonlinear neutral system
  • optimal guaranteed cost controller design
  • quadratic cost function
  • robust guaranteed cost control
  • state feedback control law
  • Cost function
  • Delays
  • Linear matrix inequalities
  • Mathematical model
  • Robustness
  • Stability criteria

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