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Criterion for realizing state-delayed digital filters subjected to external interference employing saturation arithmetic

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Abstract

The problem of exponential stability and the \({\user2{H}}_{\infty }\) performance criterion for externally disturbed state-delayed digital filter employing fixed point arithmetic in the existence of saturation arithmetic is highlighted in this paper. A limit-cycle free condition for a class of state-delayed digital filter in the existence of external disturbance and saturation arithmetic is brought out by employing Lyapunov function. The presented result ensures the exponential stability and scales down the consequences of external disturbances to the \({\user2{H}}_{\infty }\) performance index. A numerical example simulated using MATLAB linear matrix inequality control toolbox is provided to validate effectiveness of the achieved criterion.

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Acknowledgement

The work of P. Kokil was supported in part by the Science and Engineering Research Board, Department of Science and Technology under Grant EEQ/2016/000803. The authors wish to thank the Editor and the anonymous reviewers for their constructive comments and suggestions.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai, 600127, India

    Priyanka Kokil, C. G. Parthipan & Srinivasulu Jogi

  2. Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Teliarganj, Allahabad, 211004, India

    Haranath Kar

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  1. Priyanka Kokil
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  2. C. G. Parthipan
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  3. Srinivasulu Jogi
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  4. Haranath Kar
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Correspondence to Priyanka Kokil.

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Kokil, P., Parthipan, C.G., Jogi, S. et al. Criterion for realizing state-delayed digital filters subjected to external interference employing saturation arithmetic. Cluster Comput 22 (Suppl 6), 15187–15194 (2019). https://doi.org/10.1007/s10586-018-2530-3

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