Multivariable Adaptive Harmonic Steady-State Control for Rejection of Sinusoidal Disturbances Acting on an Unknown System
Provides a theoretical analysis and stability proof for adaptive disturbance rejection in unknown systems, but is incremental as it extends existing adaptive control methods to a specific problem setting.
This paper proposes an adaptive harmonic steady-state controller for rejecting sinusoidal disturbances with known frequencies in unknown multi-input multi-output linear systems, proving asymptotic disturbance rejection for single-input single-output systems.
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.