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The Journal of Analysis

, Volume 27, Issue 1, pp 19–37 | Cite as

Reliable \(\mathcal {H}_{\infty }\) controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults

  • S. ArunagirinathanEmail author
  • P. Muthukumar
Original Research Paper
  • 33 Downloads

Abstract

In this paper, the problem of exponential stability for a class of networked control system is investigated. Proposed system consisting additive time-varying delays, parameter uncertainties, external disturbance, nonlinearities and actuator faults which makes more generalized system model. The inclusion of actuator fault matrix and nonlinear perturbation in the formulation of reliable controller gives more practical applications in networked control system. The main goal of this paper is to formulate a reliable \(\mathcal {H}_{\infty }\) controller which assures the exponential stability of considered system. Based on the integral inequality technique, a new linear matrix inequality criteria has been obtained by formulating a suitable Lyapunov–Krasovskii functional for the exponential stability of the proposed networked control system. Finally, numerical example is provided to validate the effectiveness of the proposed method.

Keywords

Actuator faults Exponentially stability Linear matrix inequalities Networked control systems Nonlinearities Reliable \(\mathcal {H}_{\infty }\) control 

Mathematics Subject Classification

34H15 37B25 37N35 93D15 

Notes

Funding

This work was supported in part by the Council of Scientific and Industrial Research, Human Resource Development Group, Govt. of India, New Delhi under Grant 25(0273)/17/EMRII, and in part by the Science Engineering Research Board, DST, Govt. of India YSS Project under Grant YSS/2014/000447.

Compliance with ethical standards

Conflict of Interest

All authors declare that they have no conflict of interest.

Ethical approval

No.

Informed consent

No.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsThe Gandhigram Rural Institute (Deemed to be University)GandhigramIndia

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