This paper presents a performance analysis of nonlinear periodically time-varying discrete controllers acting upon a linear time-invariant discrete plant. Time-invariant controllers are distinguished from strictly periodically time-varying controllers. For a given nonlinear periodic controller, a time-invariant controller is constructed. Necessary and sufficient conditions are given under which the time-invariant controller gives strictly better control performance than the time-invariant controller from which it was obtained, for the attenuation of lpexogenous disturbances and the robust stabilization of lpunstructured perturbations, for all p ∈ [1, ∞]. © 2006 Elsevier Ltd. All rights reserved.
Schmid, R. (2006). Limitations of nonlinear discrete periodic control for disturbance attenuation and robust stabilization. Automatica, 42(12), 2151–2158. https://doi.org/10.1016/j.automatica.2006.06.024