# A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

### Abstract

A vast number of technological systems exhibit dynamics similar to a second-order system with a lightly damped resonance mode. A number of closed-loop control strategies have been proposed in the past to damp this resonance mode. Positive-feedback controllers based on the pole-placement technique have emerged as a group of well-performing, and hence, popular damping controllers in a multitude of applications. Yet, their design is based mostly on trial-and-error, where closed-loop poles are arbitrarily placed away from the $j\omega$ axis and further into the left-half complex plane resulting in increased damping. In this paper, a full parametric study of the Positive Position and Velocity Feedback (PVPF) is carried out. This leads to two distinct design strategies pertaining to applications in which only damping is required, and those which require both damping and tracking. One axis of a serial-kinematic nanopositioner is used as a representative second-order system with a lightly damped resonance mode to test the performance of the proposed PVPF controllers.
Original language English Proceedings of the Sixth IASTED African Conference on Modelling and Simulation Prof. Gagoitseope Mmopelwa, Dr. Naomi M. Seboni, Prof. Jagdish Prakash, Prof. George O. Anderson ACTA Press 225-232 8 978-0-88986-984-4 https://doi.org/10.2316/P.2016.838-008 Published - 2016 IASTED African Conference on Modelling and Simulation - Gaborone, BotswanaDuration: 5 Sep 2016 → 7 Sep 2016

### Conference

Conference IASTED African Conference on Modelling and Simulation Botswana Gaborone 5/09/16 → 7/09/16

### Fingerprint

Poles
Damping
Feedback
Controllers
Dynamical systems
Kinematics

### Cite this

Russell, D., Aleyaasin, M., & Aphale, S. S. (2016). A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems. In P. G. Mmopelwa, D. N. M. Seboni, P. J. Prakash, & P. G. O. Anderson (Eds.), Proceedings of the Sixth IASTED African Conference on Modelling and Simulation (pp. 225-232). ACTA Press. https://doi.org/10.2316/P.2016.838-008
Proceedings of the Sixth IASTED African Conference on Modelling and Simulation. ed. / Prof. Gagoitseope Mmopelwa; Dr. Naomi M. Seboni; Prof. Jagdish Prakash; Prof. George O. Anderson. ACTA Press, 2016. p. 225-232.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Russell, D, Aleyaasin, M & Aphale, SS 2016, A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems. in PG Mmopelwa, DNM Seboni, PJ Prakash & PGO Anderson (eds), Proceedings of the Sixth IASTED African Conference on Modelling and Simulation. ACTA Press, pp. 225-232, IASTED African Conference on Modelling and Simulation, Gaborone, Botswana, 5/09/16. https://doi.org/10.2316/P.2016.838-008
Russell D, Aleyaasin M, Aphale SS. A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems. In Mmopelwa PG, Seboni DNM, Prakash PJ, Anderson PGO, editors, Proceedings of the Sixth IASTED African Conference on Modelling and Simulation. ACTA Press. 2016. p. 225-232 https://doi.org/10.2316/P.2016.838-008
Russell, Douglas ; Aleyaasin, Majid ; Aphale, Sumeet Sunil. / A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems. Proceedings of the Sixth IASTED African Conference on Modelling and Simulation. editor / Prof. Gagoitseope Mmopelwa ; Dr. Naomi M. Seboni ; Prof. Jagdish Prakash ; Prof. George O. Anderson. ACTA Press, 2016. pp. 225-232
title = "A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems",
abstract = "A vast number of technological systems exhibit dynamics similar to a second-order system with a lightly damped resonance mode. A number of closed-loop control strategies have been proposed in the past to damp this resonance mode. Positive-feedback controllers based on the pole-placement technique have emerged as a group of well-performing, and hence, popular damping controllers in a multitude of applications. Yet, their design is based mostly on trial-and-error, where closed-loop poles are arbitrarily placed away from the $j\omega$ axis and further into the left-half complex plane resulting in increased damping. In this paper, a full parametric study of the Positive Position and Velocity Feedback (PVPF) is carried out. This leads to two distinct design strategies pertaining to applications in which only damping is required, and those which require both damping and tracking. One axis of a serial-kinematic nanopositioner is used as a representative second-order system with a lightly damped resonance mode to test the performance of the proposed PVPF controllers.",
author = "Douglas Russell and Majid Aleyaasin and Aphale, {Sumeet Sunil}",
year = "2016",
doi = "10.2316/P.2016.838-008",
language = "English",
isbn = "978-0-88986-984-4",
pages = "225--232",
editor = "Mmopelwa, {Prof. Gagoitseope } and Seboni, {Dr. Naomi M. } and Prakash, {Prof. Jagdish } and Anderson, {Prof. George O. }",
booktitle = "Proceedings of the Sixth IASTED African Conference on Modelling and Simulation",
publisher = "ACTA Press",

}

TY - GEN

T1 - A parametric study of positive-feedback pole-placement damping controllers for second-order resonant systems

AU - Russell, Douglas

AU - Aleyaasin, Majid

AU - Aphale, Sumeet Sunil

PY - 2016

Y1 - 2016

N2 - A vast number of technological systems exhibit dynamics similar to a second-order system with a lightly damped resonance mode. A number of closed-loop control strategies have been proposed in the past to damp this resonance mode. Positive-feedback controllers based on the pole-placement technique have emerged as a group of well-performing, and hence, popular damping controllers in a multitude of applications. Yet, their design is based mostly on trial-and-error, where closed-loop poles are arbitrarily placed away from the $j\omega$ axis and further into the left-half complex plane resulting in increased damping. In this paper, a full parametric study of the Positive Position and Velocity Feedback (PVPF) is carried out. This leads to two distinct design strategies pertaining to applications in which only damping is required, and those which require both damping and tracking. One axis of a serial-kinematic nanopositioner is used as a representative second-order system with a lightly damped resonance mode to test the performance of the proposed PVPF controllers.

AB - A vast number of technological systems exhibit dynamics similar to a second-order system with a lightly damped resonance mode. A number of closed-loop control strategies have been proposed in the past to damp this resonance mode. Positive-feedback controllers based on the pole-placement technique have emerged as a group of well-performing, and hence, popular damping controllers in a multitude of applications. Yet, their design is based mostly on trial-and-error, where closed-loop poles are arbitrarily placed away from the $j\omega$ axis and further into the left-half complex plane resulting in increased damping. In this paper, a full parametric study of the Positive Position and Velocity Feedback (PVPF) is carried out. This leads to two distinct design strategies pertaining to applications in which only damping is required, and those which require both damping and tracking. One axis of a serial-kinematic nanopositioner is used as a representative second-order system with a lightly damped resonance mode to test the performance of the proposed PVPF controllers.

U2 - 10.2316/P.2016.838-008

DO - 10.2316/P.2016.838-008

M3 - Conference contribution

SN - 978-0-88986-984-4

SP - 225

EP - 232

BT - Proceedings of the Sixth IASTED African Conference on Modelling and Simulation

A2 - Mmopelwa, Prof. Gagoitseope

A2 - Seboni, Dr. Naomi M.

A2 - Prakash, Prof. Jagdish

A2 - Anderson, Prof. George O.

PB - ACTA Press

ER -