Multiplicative and Additive Error Compensation Techniques for Perfect Reference Tracking

Shehab Rifat Tawfeic

doi:10.15866/ireaco.v16i1.22902

Multiplicative and Additive Error Compensation Techniques for Perfect Reference Tracking

Shehab Rifat Tawfeic^(1*)

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireaco.v16i1.22902

Abstract

This paper introduces a novel approach to supply reference inputs to feedback systems. In this approach, modified inputs are used to ensure enhancing the capability of the system to achieve the actual desired inputs. Traditionally, the difference between the reference inputs to a system and the outputs are used to decide the suitable correcting actions. In this paper, modified reference inputs are used to cancel out the steady state error of the system. Accordingly, the control effort is evaluated based on a different set of errors. As a result, more effective control actions are implemented to the system. The results show that, the performance specifications of the systems are remarkably enhanced. The enhancement results obtained, include, much limited bounds of the control effort, smaller delay, enhanced transient response, and zero steady state error.
Copyright © 2023 Praise Worthy Prize - All rights reserved.

Keywords

Steady State Error; Transient Response; Reference Tracking; Multiplicative Error Compensation; Additive Error Compensation; Modified Reference Inputs; Static Gain Compensator; Input Shaping

Full Text:

PDF

References

Mohammad Saleh Tavazoei, Overshoot in the Step Response of Fractional-Order Control Systems, Journal of Process Control, Vol. 22, (Issue 1). 90-94, January 2012.
https://doi.org/10.1016/j.jprocont.2011.10.005

Kuo-Tsai Chang, Transient Response Analysis of Piezoelectric Vibrator Driven by Impulse Force, Japanese Journal of Applied Physics, Vol. 44. Number 3R, 2005.
https://doi.org/10.1143/JJAP.44.1504

Jiaheng Chen, Hang L, Dingbiao Wang, Investigation on transient response of the direct expansion solar assisted ejector-compression heat pump cycle for water heater, Applied Thermal Engineering, Vol. 213. August 2022.
https://doi.org/10.1016/j.applthermaleng.2022.118700

Naoyuki Takesue, Junji Furusho and Yuuki Kiyota, Analytic and Experimental Study on Fast Response MR-Fluid Actuator, IEEE International Conference on Robotics & Automation, Vol. 1, pp. 202-207, Taipei, Taiwan, September 2003.

Kuo-Tsi Chang and Minsun Ouyang, Effects of a Parallel Resistor on Open-Circuit Transient Response of a Piezoelectric Vibrator, Japanese Journal of Applied Physics, Vol. 42, Number 3R, March 2003.
https://doi.org/10.1143/JJAP.42.1333

Ajay Pratap Singh, Michael Nikolaou, Control of a process with unmeasured disturbances that change its steady-state gain sign, Journal of Process Control, Vol. 23, (Issue 3). 294-305, March 2013.
https://doi.org/10.1016/j.jprocont.2012.10.004

Qi Guodong, Yu Jianqiao, Ai Xiaolin and Jiang Jun, Multi-missile Coordination High Precision Guidance and Control Method for Beam-riding Guidance, Journal of Physics: Conference Series, Vol. 1215, The 9th Asia Conference on Mechanical and Aerospace Engineering, Singapore, December 2018.
https://doi.org/10.1088/1742-6596/1215/1/012013

Wang Li, Song Qi, Mi Zhu, Dongbin Xia, Jie Fu and Miao Yu, improving transient magnetorheological response of magnetorheological elastomer by incorporating CIP@FeNi particle, Smart Materials and Structures, Vol. 30. number 2 January 2021.
https://doi.org/10.1088/1361-665X/abcf1c

Sadiq Emad Sadiq, Muhsin J. Jweeg and Sadeq H. Bakhy, The Effects of Honeycomb Parameters on Transient Response of an Aircraft Sandwich Panel Structure, IOP Conference Series: Materials Science and Engineering, Vol. 928, Thi-Qar, Iraq, July 2020.
https://doi.org/10.1088/1757-899X/928/2/022126

Fang Wang, Hesong Wu and Bin Wang, Design and Application of a Transient Response Test Module, Journal of Physics: Conference Series, 8th International Conference on Electrical Engineering, Control and Robotics, Vol. 2213, Online, Jan 2022.
https://doi.org/10.1088/1742-6596/2213/1/012011

Zhang Xiao, Zhao Fang, Deyi Sang and Fuqiang Zong, Transient Response Test System Based on FPGA, IOP Conference Series: Earth and Environmental Science, 5th International Conference on Materials Science, Energy Technology and Environmental Engineering Vol. 571, Shanghai China, August 2020.
https://doi.org/10.1088/1755-1315/571/1/012030

Zhang Xiao, Zhao Fang, Deyi Sang and Fuqiang Zong, Transient Response Test System Based on FPGA, 5th International Conference on Materials Sience, Energ Technology and Environmental Engineering, Vol. 571, Shanghai, China, August 2020.
https://doi.org/10.1088/1755-1315/571/1/012030

Adel Oubelaid, Nabil Taib and Toufik Rekioua, Novel coordinated power sources switching strategy for transient performance enhancement of hybrid electric vehicles, The international journal for computation and mathematics in electrical and electronic engineering, Vol.41 (Issue 5), 2022.
https://doi.org/10.1108/COMPEL-10-2021-0399

H. Shimatate, K. Shikada and N. Sebe, Reduction of steady-state error for a ramp input in type 1 servo systems, 61st Annual Conference of the Society of Instrument and Control Engineers (SICE), pp. 924-929, Kumamoto, Japan, September 2022.
https://doi.org/10.23919/SICE56594.2022.9905769

A.R. McIntosh, V. Mahalec, Calculation of steady-state gains for multivariable systems from closed-loop steady-state data, Journal of Process Control, Vol. 1, (Issue 4). 178-186, August 1991.
https://doi.org/10.1016/0959-1524(91)85007-6

M. H. Vafaie, B. Mirzaeian Dehkordi, P. Moallem and A. Kiyoumarsi, A New Predictive Direct Torque Control Method for Improving Both Steady-State and Transient-State Operations of the PMSM, IEEE Transactions on Power Electronics, vol. 31(no. 5). 3738-3753, May 2016.
https://doi.org/10.1109/TPEL.2015.2462116

Dan Kielsholm Thomsen, Rune Søe-Knudsen, Ole Balling, Xuping Zhang, Vibration control of industrial robot arms by multi-mode time-varying input shaping, Mechanism and Machine Theory, Vol. 155, January 2021.
https://doi.org/10.1016/j.mechmachtheory.2020.104072

Zhiqiang Liu, Qing Xiang and Xi Ye, NMPC-based trajectory tracking control strategy for unmanned surface vehicle, Journal of Physics: Conference Series, Vol. 2302, International Symposium on Sensor Technology and Control, May 2022.
https://doi.org/10.1088/1742-6596/2302/1/012008

S. Tawfeic, Track seeking control for hard disk drives using the approaching index switching algorithm, International Conference on Computer and Communication Engineering, pp. 172-175, Kuala Lumpur, Malaysia, May 2008,
https://doi.org/10.1109/ICCCE.2008.4580590

Al-Hosary, S., Tawfeic, S., Mekhail, T., Satellite Attitude Control Using Smart Approaching Index Switching Algorithm, (2022) International Review of Aerospace Engineering (IREASE), 15 (3), pp. 186-196.
https://doi.org/10.15866/irease.v15i3.21893

Artur Avazov, Frédéric Colas, Jef Beerten, Xavier Guillaud, Application of input shaping method to vibrations damping in a Type-IV wind turbine interfaced with a grid-forming converter, Electric Power Systems Research, Vol. 210, September 2022.
https://doi.org/10.1016/j.epsr.2022.108083

S.M. Fasih ur Rehman, Z. Mohamed, A.R. Husain, H.I. Jaafar, M.H. Shaheed, M.A. Abbasi, Input shaping with an adaptive scheme for swing control of an underactuated tower crane under payload hoisting and mass variations, Mechanical Systems and Signal Processing, Vol. 175, August 2022.
https://doi.org/10.1016/j.ymssp.2022.109106

Amit Bhayadia, Anthony Olivett, Tarunraj Singh and M Amin Karami, Input shaping for travelling wave generation, Smart Materials and Structures, Vol. 31 (Number 5), March 2022.
https://doi.org/10.1088/1361-665X/ac5c89

LMo, L A Rocha, E Cretu and R F Wolffenbuttel, Fast step-response settling of micro electrostatic actuators operated at low air pressure using input shaping, Journal of Micromechanics and Micro engineering, Vol. 19 (Number 7), June 2009.
https://doi.org/10.1088/0960-1317/19/7/074020

Souransu Nandi, Tarunraj Singh, Joint chance constrained input shaping, Journal of the Franklin institute, 357, July 2020.
https://doi.org/10.1016/j.jfranklin.2020.07.044

Youngkee Eun, Bongwon Jeong and Jongbaeg Kim, Switching Time Reduction for Electrostatic Torsional Micromirrors Using Input Shaping, Japanese Journal of Applied Physics, Vol. 49(Number 5R), May 2010.
https://doi.org/10.1143/JJAP.49.054102

Kougen Ma and Mehrdad N Ghasemi-Nejhad, Adaptive input shaping and control for simultaneous precision positioning and vibration suppression of smart composite plates, Smart Materials and Structures, Vol. 16(Number 5), September 2007.
https://doi.org/10.1088/0964-1726/16/5/043

M Z Mohd Tumari, L Shabudin, M A Zawawi and L H Ahmad Shah, Active sway control of a gantry crane using hybrid input shaping and PID control schemes, IOP Conference Series: Materials Science and Engineering, Vol. 50, 2nd International Conference on Mechanical Engineering Research (ICMER 2013) Kuantan, Pahang, Malaysia, July 2013.
https://doi.org/10.1088/1757-899X/50/1/012029

J. J. Potter and W. E. Singhose, Design and Human-in-the-Loop Testing of Reduced-Modification Input Shapers, IEEE Transactions on Control Systems Technology, vol. 24(Number. 4). 1513-1520, July 2016.
https://doi.org/10.1109/TCST.2015.2487858

Mateusz Kasprowiak, Arkadiusz Parus and Marcin Hoffmann, Vibration Suppression with Use of Input Shaping Control in Machining, Sensors, Vol. 22 (Number 6), March 2022.
https://doi.org/10.3390/s22062186

Refbacks

There are currently no refbacks.

Username
Password
Remember me