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Use of fractional-order controllers for fractional-order systems is now a well established field. Recently, there have been attempts to extend the concept of fractional-order control to complex-order control involving derivative and integral operators with complex-order ( $$q=u+iv$$ q = u + i v ). The paper presents the design of two new complex-order controllers using genetic algorithms. The...
The main objective of this paper is to present the time domain, frequency domain and stability analysis of linear systems represented by differential equations with complex-order derivatives. The impulse and step response of three different complex-order systems have been presented numerically with the help of MATLAB. For frequency domain analysis, Bode-plots of the same three complex-order systems...
A widely recognized advanced control methodology model predictive control (MPC) is applied to solve a classical servo problem in the context of linear fractional-order (FO) system with the help of an approximation method. In model predictive control, the current control action is obtained for each sampling instant by solving, a finite horizon optimal control problem. The optimization delivers an optimal...
This paper deals with approximation methods for fractional operators. Fractional calculus is a new concept for engineers and we need tools to analyze and utilize the same. One way to do the same is to use approximation method. Approximation methods evaluate integer order (transfer function) equivalent of fractional operator, which can be utilized for realization of fractional operators, obtain state...
This paper presents a new strategy for designing of Fractional-order proportional integral (FOPI) controller for a linear unstable systems. The open loop transfer function is compared with the standard fractional-order (FO) transfer function whose closed loop response is always stable and comparison is done in frequency domain i.e. to match magnitude and phase response of the system with the standard...
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