Adaptive Harmonic Control for Rejection of Sinusoidal Disturbances Acting on an Unknown System

Mohammadreza Kamaldar, Jesse B. Hoagg

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


We present a sampled-data adaptive harmonic control algorithm that rejects sinusoids with known frequencies that act on a completely unknown asymptotically stable linear time-invariant system. We analyze the stability and closed-loop performance for systems with at least as many controls as performance measurements. We show that the closed-loop system is uniformly Lyapunov stable and the adaptive controller asymptotically rejects the disturbances. We present numerical simulations comparing the new sampled-data adaptive controller with an existing sinusoidal disturbance rejection approach (i.e., higher harmonic control). We also present results from an active disturbance rejection experiment in an acoustic environment. These experimental results demonstrate the practical effectiveness of the adaptive harmonic controller.

Original languageEnglish
Article number8500231
Pages (from-to)277-290
Number of pages14
JournalIEEE Transactions on Control Systems Technology
Issue number2
StatePublished - Mar 2020

Bibliographical note

Publisher Copyright:
© 2018 IEEE.


  • Adaptive
  • disturbance rejection
  • harmonic
  • unknown system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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