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Role of Controller Zeroes in Stabilizing an Unstable System

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Smart Technologies for Power and Green Energy

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 443))

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Abstract

A controller is an integral component in any process. An unstable system can be paired with a PID controller in a closed-loop feedback configuration to obtain a desired response. Insertion of a controller results in adding a pole at origin and two zeroes into the transfer function at a location determined by the tuning strategy employed. If placed suitably, the zeroes of the controller can pull the root locus starting at an unstable pole and terminating at a stable zero towards the stable left half. This paper presents the suitability of a tuning technique not only from the response of the output but also by graphical depiction of the change in the pole-zero patterns caused by the tuning technique. The system chosen for the demonstration is an open-loop unstable Maglev system which is gaining prominence in green and environment-friendly transportation and the tuning techniques chosen are Zeigler–Nichols and pole placement techniques.

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Acknowledgements

The author is thankful for the continuous encouragement received by the management of BIT, Mesra, Ranchi. No financial assistance has been received for this work.

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Correspondence to Shradha Kishore .

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Kishore, S. (2023). Role of Controller Zeroes in Stabilizing an Unstable System. In: Dash, R.N., Rathore, A.K., Khadkikar, V., Patel, R., Debnath, M. (eds) Smart Technologies for Power and Green Energy. Lecture Notes in Networks and Systems, vol 443. Springer, Singapore. https://doi.org/10.1007/978-981-19-2764-5_15

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  • DOI: https://doi.org/10.1007/978-981-19-2764-5_15

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  • Online ISBN: 978-981-19-2764-5

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