A Novel Non-integer Indirect Adaptive Control for Non-integer Order Systems with Non-prior Knowledge

B. Bourouba, S. Ladaci


In this study, a new non-integer indirect adaptive control method with reference model is suggested for the class of non-integer order systems. The objective of model reference control is to include the output of the given reference fractional model in tracking the output of a controlled plant by using the concept of on-line goal adaptation. The stability of the closed-loop system is analyzed via the Lyapunov method. Finally, Matlab simulation results are presented to illustrate the effectiveness of the proposed method of indirect fractional model reference adaptive control.


non integer order system; fractional adaptive control; MRAC; control system; Lyapunov stability

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