In this paper, we incorporate fuzzy reasoning in fractional-order PD controllers. The resulting fuzzy fractional PD controller is investigated in terms of its digital implementation and robustness. The combined features of both algorithms will result in a better control system performance. Also, the effectiveness and robustness of the new methodology is illustrated through an application exampl...

This paper applies fractional order PID controller to torsional system’s backlash vibration suppression control, in which the order k of D controller can not only be integer but also be any real number. In order to improve control system’s robustness against backlash non-linearity, several methods have been proposed. However their design processes are very complicated. In this paper, a clear an...

This paper presents the application of Fractional Order PID controller as a supplementary controller to improve the dynamics of LFC in multi area deregulated power system. FOPID is a PID controller whose derivative and integral orders are of fractional rather than integer. The extension of derivative and integration order from integer to fractional order provides more flexibility in design of t...

There is an increasing interest in dynamic systems and controls of noninteger orders or fractional orders. Clearly, for closed-loop control systems, there are four situations. They are 1) IO (integer order) plant with IO controller; 2) IO plant with FO (fractional order) controller; 3) FO plant with IO controller and 4) FO plant with FO controller. However, from engineering point of view, doing...

Particle Swarm Optimization technique offers optimal or suboptimal solution to multidimensional rough objective functions. In this paper, this optimization technique is used for designing fractional order PID controllers that give better performance than their integer order counterparts. Controller synthesis is based on required peak overshoot and rise time specifications. The characteristic eq...

Abstract Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to system modeling. Due the absence commercial complex-order fractance elements, implementation CFO models is challenging. To alleviate this issue, a constrained optimization approach that meets targeted frequency responses proposed for rational ...