An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System
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University of Akron / OhioLINK
2018
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=akron1542303891784113 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-akron15423038917841132021-08-03T07:08:53Z An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System Talarcek, Steven C. Electrical Engineering Fractional-order Open-loop control Closed-loop control Bridged-T control Peltier Effect Seebeck Effect Joule heating Heat conduction Charef approximation One-wire device This document is an experimental study of disturbance compensation and control for a fractional-order system. The system examined is an insulated aluminum bar. A thermal excitation is applied to the system using a peltier actuator at one end of the bar, and the temperature response is measured using a sensor placed on the side of the bar close to the actuated end. The transfer function governing the thermal bar dynamics from the applied thermal input to the measured temperature output is that of a half-order integrator. A model for the additional actuator components in the system is derived using the physics governing the Peltier Effect, the Seebeck Effect, and joule heating, along with the heat conduction through the peltier actuator and its heat sink. To allow the use of standard control system design methods, the half-order integrator is approximated by an integer-order transfer function. The thermal actuator model and the approximation of the fractional-order component are combined as a design model for open-loop, closed-loop, and bridged-T control laws for the thermal system. The control systems implemented use a microcontroller, a digital-to-analog circuit, and an H-bridge circuit to drive the peltier actuator. Data samples from a one-wire temperature sensor are utilized for feedback and to record the experimental results. The final implemented control system has a step response with zero steady-state error. The transient response has a settling time of 118 seconds, as compared with 1.2 hours for the uncompensated open-loop system. The results show that open-loop control, based on an accurate system model, combined with a simple integral feedback control is highly effective for this fractional-order system. 2018 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1542303891784113 http://rave.ohiolink.edu/etdc/view?acc_num=akron1542303891784113 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Electrical Engineering Fractional-order Open-loop control Closed-loop control Bridged-T control Peltier Effect Seebeck Effect Joule heating Heat conduction Charef approximation One-wire device |
| spellingShingle |
Electrical Engineering Fractional-order Open-loop control Closed-loop control Bridged-T control Peltier Effect Seebeck Effect Joule heating Heat conduction Charef approximation One-wire device Talarcek, Steven C. An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| author |
Talarcek, Steven C. |
| author_facet |
Talarcek, Steven C. |
| author_sort |
Talarcek, Steven C. |
| title |
An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| title_short |
An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| title_full |
An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| title_fullStr |
An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| title_full_unstemmed |
An Experimental Study of Disturbance Compensation and Control for a Fractional-Order System |
| title_sort |
experimental study of disturbance compensation and control for a fractional-order system |
| publisher |
University of Akron / OhioLINK |
| publishDate |
2018 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=akron1542303891784113 |
| work_keys_str_mv |
AT talarcekstevenc anexperimentalstudyofdisturbancecompensationandcontrolforafractionalordersystem AT talarcekstevenc experimentalstudyofdisturbancecompensationandcontrolforafractionalordersystem |
| _version_ |
1719454671983083520 |