Fractional-Order Controller Design for Oscillatory Fractional Time-Delay Systems Based on the Numerical Inverse Laplace Transform Algorithms. (21st April 2015)

• Record Type: Journal Article
• Authors: Liu, Lu; Pan, Feng; Xue, Dingyu
• Other Names: Rodriguez-Lopez Rosana Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-04-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/917382
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Fractional-order time-delay system is thought to be a kind of oscillatory complex system which could not be controlled efficaciously so far because it does not have an analytical solution when using inverse Laplace transform. In this paper, a type of fractional-order controller based on numerical inverse Laplace transform algorithm INVLAP was proposed for the mentioned systems by searching for the optimal controller parameters with the objective function of ITAE index due to the verified nature that fractional-order controllers were the best means of controlling fractional-order systems. Simulations of step unit tracking and load-disturbance responses of the proposed fractional-order optimalP I λ D μ controller (FOPID) and corresponding conventional optimal PID (OPID) controller have been done on three typical kinds of fractional time-delay system with different ratio between time delay (L ) and time constant (T ) and a complex high-order fractional time delay system to verify the availability of the presented control method.