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A Method for Controlling Parallel and Series RLC Circuits with Time-Varying Resistance, Inductance and Capacitance

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Abstract

Parallel and series RLC circuits are widely encountered in numerous electrical and electronic applications. Accurate control of the voltage/current in parallel/series RLC circuits with time-varying resistance, inductance and capacitance is a challenge. In this work, an approach is proposed for control of voltage in time-varying parallel RLC circuits and of current in time-varying series RLC circuits. The proposed controller is described by an algebraic equation and forces the tracking error to quickly converge to zero. Illustrative results verify the proposed method for forcing the voltage/current in time-varying parallel/series RLC circuits to follow the targeted voltage/current trajectories efficiently. Compared with the conventional approach based on the gradient method, the proposed method demonstrates higher accuracy in controlling time-varying parallel and series RLC circuits.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC) under Grant No. 61603078 and Fundamental Research Funds for the Central Universities at University of Electronic Science and Technology of China (UESTC) under Grant No. ZYGX2015KYQD044.

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Authors and Affiliations

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Zhan Li & Ziguang Yin

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  1. Zhan Li
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  2. Ziguang Yin
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Correspondence to Zhan Li.

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Li, Z., Yin, Z. A Method for Controlling Parallel and Series RLC Circuits with Time-Varying Resistance, Inductance and Capacitance. Circuits Syst Signal Process 37, 2629–2638 (2018). https://doi.org/10.1007/s00034-017-0669-4

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  • DOI: https://doi.org/10.1007/s00034-017-0669-4

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