A new IIR-type digital fractional order differentiator
Signal Processing - Special issue: Fractional signal processing and applications
Genetic fuzzy self-tuning PID controllers for antilock braking systems
Engineering Applications of Artificial Intelligence
Image encryption with multiorders of fractional Fourier transforms
IEEE Transactions on Information Forensics and Security
Designing a genetic neural fuzzy antilock-brake-system controller
IEEE Transactions on Evolutionary Computation
Fractional Fuzzy Adaptive Sliding-Mode Control of a 2-DOF Direct-Drive Robot Arm
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Mathematics and Computers in Simulation
Fractional-Order Anisotropic Diffusion for Image Denoising
IEEE Transactions on Image Processing
Neural-network hybrid control for antilock braking systems
IEEE Transactions on Neural Networks
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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 proposed FOSMC combines sliding mode controller (SMC) with fractional order dynamics, in which fractional order proportional-derivative (FOPD) sliding surface is adopted. FOSMC can not only deal with the uncertainties in ABS system but also track the desired slip faster than conventional integer order SMC with proportional or proportional-derivative sliding surface. Experimental results demonstrate the effectiveness of the proposed method.