The Simulation Technique for Fractional Order Systems with Nonzero Initial Value

6 Pages Posted: 20 Dec 2018

See all articles by Yanting Zhao

Yanting Zhao

University of Science and Technology of China

Yiheng Wei

University of Science and Technology of China

Jiachang Wang

University of Science and Technology of China

Yong Wang

University of Science and Technology of China

Date Written: July 2018

Abstract

The paper mainly concerns about nonzero initial value problems of fractional order dynamic systems. Firstly, to solve the limitation of the existing Simulink block diagram scheme with Riemann-Liouville definition, a modified modular approach is proposed. It is based on the improved piecewise approximation for fractional differential operator and integral operator. The method can solve the problem not only under Riemann-Liouville definition, but also Caputo definition. Considering that the fractional integral operator is supposed to own pure integral property, we construct the strict regular approximation model to improve the performance of the origin scheme. Then the method is simplified with the adoption of the state-space model. The effectiveness and the superiority of proposed schemes are verified by detailed fractional order differential equations.

Suggested Citation

Zhao, Yanting and Wei, Yiheng and Wang, Jiachang and Wang, Yong, The Simulation Technique for Fractional Order Systems with Nonzero Initial Value (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3300021 or http://dx.doi.org/10.2139/ssrn.3300021

Yanting Zhao

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Yiheng Wei

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Jiachang Wang

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Yong Wang (Contact Author)

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Register to save articles to
your library

Register

Paper statistics

Downloads
8
Abstract Views
76
PlumX Metrics