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This paper investigates the problem pertained to adaptive backstepping control for a class of incommensurate fractional order nonlinear systems. The controlled plant is of parametric strict-feedback form with unknown parameters, varying disturbance and partial measurable state. To solve this problem, a novel state observer is constructed first and then an adaptive control law is developed via the...
In this study, fractional order indirect model reference adaptive control method is used to control a class of fractional order systems. Unlike the traditional integer order case, the controller is obtained by Lyapunov method and the closed-loop stability is achieved via indirect Lyapunov method rather than the certainty equivalence principle. Moreover, for the knowledge that the fractional order...
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