Multi-Harmonic Periodic Disturbance Compensation of Time- Delay System Using Harmonic Control Arrays

Recent research has demonstrated that the Harmonic Control Array (HCA) approach provides an effective control strategy for systems with periodic references or disturbances. To achieve zero steady-state error, the harmonic correction algorithm modifies the complex levels of the system input's harmonic components appropriately. This paper presents compensation of multi-harmonic periodic disturbances in time-delay systems utilizing Harmonic Control Arrays (HCA). The study evaluates the efficacy of the technique using a first-order time-delay system subject to a multi-harmonic periodic disturbance. Key performance metrics include disturbance rejection, robustness, adaptability, and implementation complexity. Simulation results demonstrate that the approach can effectively attenuate disturbances and achieves perfect steady-state reference tracking for each harmonic considered. HCA also exhibits superior robustness to parameter variations and various perturbations, as well as adaptability to changes in disturbance characteristics. The findings suggest that HCA offers significant advantages in addressing multi-harmonic periodic disturbances in time- delay systems, particularly in scenarios requiring high performance and adaptability involving a high number of harmonics.