We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the proposed method. For this, we will use the robust stability theory of Fractional-Order Linear Time Invariant FO-LTI systems. To determine the control parameters, one needs only a little knowledg...

In this work, a class of fractional order controller (FOPID) is tuned based on internal model control (IMC). This tuning rule has been obtained without any approximation of time delay. Moreover to show usefulness of fractional order controller in comparison with classical integer order controllers, an industrial PID controller tuned in a similar way, is compared with FOPID and then robust stabi...

Abstract: A robust adaptive control is presented for a class of time-varying nonlinear uncertain systems which have a fractional nonlinearly parameterised structure. The proposed design is based on robust adaptive backstepping and neural network approximation. The unknown time-varying parameters in the fractional nonlinear functions are estimated using a smooth projection algorithm and estimati...

in this paper, we consider the second-kind chebyshev polynomials (skcps) for the numerical solution of the fractional optimal control problems (focps). firstly, an introduction of the fractional calculus and properties of the shifted skcps are given and then operational matrix of fractional integration is introduced. next, these properties are used together with the legendre-gauss quadrature fo...

In this paper a fractional order PI controller (FOPI) is proposed for the speed control of Permanent Magnet Synchronous Motor(PMSM). Fractional calculus is introduced into the PI controller, and proposes a robust fractional order PI controller (FOPI) for the speed control of a PMSM .PMSM drive system is a nonlinear system which is sensitive to load disturbance, parameter variation, unmodelled a...

Content: A logical tool in robust control theory for systems of parametric inhomogeneous linear ODEs.