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...

Our objective is to apply the fractional PID controller to enhance the system control performances. Unlike Proportional Integral Derivative (PID) controller, there is no systematic and yet rigor design or tuning method existing for this PID controller. In this paper a method to design PID controller is presented. The basic ideas of the tuning method are based, in the first place, on the convent...

Praktická aplikácia číslicového regulátora neceločíselného rádu na riadenie teploty Príspevok sa zaoberá praktickým návrhom a aplikáciou číslicového regulátora neceločíselného rádu na riadenie teploty žiariča. V príspevku je ďalej uvedený matematický popis regulátorov a regulovaných sústav neceločíselného rádu. Pre použitie číslicových regulátorov neceločíselného rádu je uvedený príslušný algor...

Abstract In this work, chaos game optimization (CGO), a robust approach, is employed for efficient design of novel cascade controller four test systems with interconnected power (IPSs) to tackle load–frequency control (LFC) difficulties. The CGO method based on theory principles, in which the structure fractals seen via chaotic principle and fractals’ self-similarity characteristics are conside...

Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of s , where 0 < α < 1, and s is the Laplace transform variable. Effect of input–output time delay on the range of allowable controller parameters is investigated. The allowable PID controller parameters are determined from a small gain type of argument used earlier for...

Antilock braking system (ABS) is a highly nonlinear system including variation and uncertainties in the parameters due to changes in vehicle loadings, road condition, etc. It is a difficult task to design an ideal controller for ABS. In this paper, a novel robust controller named fractional order sliding mode controller (FOSMC) is proposed for ABS to regulate the slip to a desired value. The pr...

Based on the electromagnetism-like algorithm, an evolutionary algorithm, improved EM algorithm with genetic algorithm technique (IEMGA), for optimization of fractional-order PID (FOPID) controller is proposed in this article. IEMGA is a population-based meta-heuristic algorithm originated from the electromagnetism theory. It does not require gradient calculations and can automatically converge ...

This paper deals with synchronization between a fractional order Coullet chaotic system and an integer order Rabinovich-Fabrikant chaotic system by using tracking control and stability theory of fractional order system. An effective controller is designed to synchronize these two systems. Numerical simulations have been done by using Mathematica and Matlab both. Numerical solutions via Grünwald...