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A linear parameter varying control design to stabilize a decomposable system

In this paper we present a novel linear parameter varying (LPV) approach to control a decomposable system. As a result, a polytopic LPV controller is formed which guarantee to stabilize the system over the whole range of parameter variation. Furthermore, for the desired performance of the controller pole placement using linear matrix inequalities (LMIs) is incorporated. To illustrate the effectiveness of the technique a multi agent system (MAS) as a special case of decomposable system is chosen for controller synthesis, in which the number of agents can be selected arbitrarily.