Analysis and Control of Interconnected Systems which Have a Multi Time Scale Property

Abstract

Summary The analysis and control of interconnected systems which have a multi time scale property, are presented. Two basic assumptions are made: (1) There are inherent distinct time scales in the system; (2) Prior insight and knowledge about the system to identify the multi time scale behavior are available. With these assumptions, the main objective is to solve smaller order problems and design separate controllers with reduced information in the different time scales. Eigenvalues, controllability, pole-placement, observers and regulators are considered.