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

Reliable $$\mathcal {H}_{\infty }$$ H ∞ controller for uncertain networked control... J Anal https://doi.org/10.1007/s41478-018-0101-x ORI G INAL RESEARCH PAPER Reliable H controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults 1 1 S. Arunagirinathan P. Muthukumar Received: 29 January 2018 / Accepted: 18 May 2018 Forum D’Analystes, Chennai 2018 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 H controller which assures the exponential sta- bility 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 H control Mathematics Subject Classiﬁcation 34H15  37B25  37N35 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

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

, Volume OnlineFirst – Jun 4, 2018
19 pages

/lp/springer_journal/reliable-mathcal-h-infty-h-controller-for-uncertain-networked-control-t0WTDzeWXu
Publisher
Springer Journals
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
D.O.I.
10.1007/s41478-018-0101-x
Publisher site
See Article on Publisher Site

### Abstract

J Anal https://doi.org/10.1007/s41478-018-0101-x ORI G INAL RESEARCH PAPER Reliable H controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults 1 1 S. Arunagirinathan P. Muthukumar Received: 29 January 2018 / Accepted: 18 May 2018 Forum D’Analystes, Chennai 2018 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 H controller which assures the exponential sta- bility 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 H control Mathematics Subject Classiﬁcation 34H15  37B25  37N35

### Journal

The Journal of AnalysisSpringer Journals

Published: Jun 4, 2018

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