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Abstract
This chapter is dedicated to the design of control laws for systems described by commensurate fractional-order models. Control specifications are formulated in terms of H∞ and H2 constraints on performance transfers of the closed-loop model. Two main approaches are proposed in order to design the control law. The first one consists in approximating the fractional-order model by an uncertain integer order model. The control law is then obtained using robust control design techniques. The second approach is to develop control design tools that are specific to fractional order models.