Abstract
Caputo definition of Fractional Diffintegration is numerically approximated for the real-time implementation in the digital/Computer/Embedded system. Fractional numerical methods and properties are discussed in this paper and the new method of software implementation is suggested for the fractional Proportional Integral-Derivative (PID) Controller. Comparison of the present “discretization method” with the exact known fractional diffintegration solution of algebraic functions has been discussed. Furthermore, Simulink implementation of the proposed algorithm with integer order solutions and compared with the solution of the available MATLAB tools. Performance of tuned integer order PID controller and manual tuned fractional PID controller using the present fractional numerical method is tabulated and showed that the present method is suitable for the real-time operation of the fractional-order PID controller. There is no need for conversion of the fractional-order controller to the higher order integer controller for practical implementation.
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Gade, S., Kumbhar, M., Pardeshi, S. (2020). Numerical Approximation of Caputo Definition and Simulation of Fractional PID Controller. In: Gunjan, V., Suganthan, P., Haase, J., Kumar, A., Raman, B. (eds) Cybernetics, Cognition and Machine Learning Applications. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-15-1632-0_17
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DOI: https://doi.org/10.1007/978-981-15-1632-0_17
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