Observer-Based Control for Fractional-Order Systems

In this chapter, new results on the observer-based control problem for fractional-order systems are presented. The two control philosophies, which are the “stabilization” and the “model-reference control”, are investigated. First, dealing with the stabilization problem, an adaptive stabilization scheme for a class of uncertain nonlinear fractional systems is detailed. Second, the model-reference control problem is investigated. A novel and advantageous model-reference control design for linear fractional-order systems is presented.