Skip to main content

Norm Optimal Iterative Learning Control for Improved Trajectory Tracking of Servo Motor

  • Conference paper
  • First Online:
Advances in Automation, Signal Processing, Instrumentation, and Control (i-CASIC 2020)

Abstract

To improve the trajectory tracking and robustness of closed-loop servo system against the model perturbation, this paper presents a novel norm optimal iterative learning control (NOILC) scheme combined with proportional velocity (PV) feedback control. It is well known that the feedback controller performance is always limited due to the so-called Bode sensitivity integral, which states that the feedback controller performance is always a trade-off between the reference tracking and the disturbance rejection. Hence, to address this trade-off called “waterbed effect”, we synthesize a NOILC scheme, which can significantly improve the tracking performance by learning the system dynamics through the past tracking errors and the control effort. Formulating the ILC design as an optimization problem, we determine the optimal learning filters and present the hardware in loop testing (HIL) validation of the proposed scheme on a servo motor. Experimental results substantiate that the NOILC combined with PV can significantly reduce the tracking error and enhance the transient and steady-performance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bristow DA, Tharayil M, Alleyne AG (2006) A survey of iterative learning control. IEEE Control Syst Mag 26(3):96–114

    Google Scholar 

  2. Arimoto S, Kawamura S, Miyazaki F (1984) Bettering operation of robots by learning. J Robot Syst 1(2):123–140

    Google Scholar 

  3. Chen H, Xing G, Sun H, Wang H (2013) Indirect iterative learning control for robot manipulator with non-Gaussian disturbances. IET Control Theory Appl 7(17):2090–2102

    Article  MathSciNet  Google Scholar 

  4. Oomen T, Rojas CR (2017) Sparse iterative learning control with application to a wafer stage: achieving performance, resource efficiency, and task flexibility. Mechatronics 47:134–147

    Article  Google Scholar 

  5. Jonnalagadda VJ, Kumar EV, Agrawal S (2019) Current cycle feedback iterative learning control for tracking control of magnetic levitation system. Trans Inst Meas Control

    Google Scholar 

  6. Bolder J, Oomen T, Koekebakker S, Steinbuch M (2014) Using iterative learning control with basis functions to compensate medium deformation in a wide-format inkjet printer. Mechatronics 24(8):944–953

    Article  Google Scholar 

  7. Chu B, Owens DH, Freeman CT (2015) Iterative learning control with predictive trial information: convergence, robustness, and experimental verification. IEEE Trans Control Syst Technol 24(3):1101–1108

    Article  Google Scholar 

  8. Meng T, He W (2017) Iterative learning control of a robotic arm experiment platform with input constraint. IEEE Trans Ind Electron 65(1):664–672

    Article  Google Scholar 

  9. Amann N, Owens DH, Rogers E (1996) Iterative learning control for discrete-time systems with exponential rate of convergence. IEE Proc Control Theory Appl 143(2):217–224

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vinodh Kumar Elumalai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jonnalagadda, V.K., Elumalai, V.K. (2021). Norm Optimal Iterative Learning Control for Improved Trajectory Tracking of Servo Motor. In: Komanapalli, V.L.N., Sivakumaran, N., Hampannavar, S. (eds) Advances in Automation, Signal Processing, Instrumentation, and Control. i-CASIC 2020. Lecture Notes in Electrical Engineering, vol 700. Springer, Singapore. https://doi.org/10.1007/978-981-15-8221-9_170

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-8221-9_170

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-8220-2

  • Online ISBN: 978-981-15-8221-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics