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.
|Number of pages||14|
|Journal||IEEE Transactions on Control Systems Technology|
|State||Published - Mar 2020|
Bibliographical notePublisher Copyright:
© 2018 IEEE.
- disturbance rejection
- unknown system
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering