Multivariable Adaptive Harmonic Steady-State Control for Rejection of Sinusoidal Disturbances Acting on an Unknown System
Mohammadreza Kamaldar, Jesse B. Hoagg

TL;DR
This paper introduces an adaptive harmonic steady-state controller designed to reject sinusoidal disturbances with known frequencies on unknown MIMO systems, ensuring asymptotic disturbance rejection.
Contribution
The paper develops a novel AHSS controller for unknown MIMO systems and analyzes its stability and performance for SISO cases.
Findings
AHSS asymptotically rejects sinusoidal disturbances
Stability and performance analyzed for SISO systems
Effective disturbance rejection demonstrated
Abstract
This paper presents an adaptive harmonic steady-state (AHSS) controller, which addresses the problem of rejecting sinusoids with known frequencies that act on a completely unknown multi-input multi-output linear time-invariant system. We analyze the stability and closed-loop performance of AHSS for single-input single-output systems. In this case, we show that AHSS asymptotically rejects disturbances.
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