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Geometric Approach for the Observability of Switched Systems: Application to Three-Cells DC/DC Converter

This paper discusses the observability of switched linear systems using geometrical concepts and tools. A necessary and sufficient geometric condition for the observability is provided. An interesting application in power electronics, known as multicellular converter, is considered. The observability of three cells converter and super twisting sliding mode observer are developed. Simulation results confirm the analytical demonstrations and prove the effectiveness of the observer.