Output feedback control of multicellular converters

Abstract

This paper presents an output feedback control for the multicellular converter using hybrid systems theory. First, we study the observability of the continuous state of the converter under predetermined finite switching sequence. Using some dynamical properties of the converter, a time independent necessary and sufficient condition is given for the continuous state observability. This interesting condition allows the avoidance of the usual matrix exponential computations for the observability analysis and leads to major notes on the multicellular converter observability. Second, as an application of the above results, we consider the case of the 2-cell converter where we establish a new switching control scheme that guarantees the existence and the finite-time stability of a limit cycle. The corresponding repetitive switching sequence of the limit cycle is used to prove the continuous state observability. We next design a super twisting sliding mode observer that guarantees the finite continuous state convergence. Simulation results confirm the effectiveness and the robustness of the output control scheme under different perturbations: variations of the input voltage and load resistance.