Necessary and Sufficient Conditions for Harmonic Control in Continuous Time

In this article, we revisit the concepts and tools of harmonic analysis control provide a rigorous mathematical answer to following question: When does an have representative in time domain? By mean domain that leads by sliding Fourier decomposition exactly same control. Harmonic controls do not such representatives lead erroneous results practice. The main article are: A one-to-one correspondence between ad hoc functional spaces guaranteeing existence representative, strict equivalence Caratheorody solutions differential system associated model, as consequence, general framework for linear periodic systems bilinear affine systems. proposed allows design globally stabilizing laws. We illustrate approach on single-phase rectifier bridge. Through example, show how one can laws guarantee disturbance rejection low content.