Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function

Takahiro Takamatsu; Koushirou Kubo; Hiromitsu Ohmori

doi:10.1109/ICAMechS.2014.6911645

Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function

Takahiro Takamatsu, Koushirou Kubo, Hiromitsu Ohmori

Department of System Design Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

Novel sliding mode control design is proposed for a fractional order system in the presence of disturbance and nonlinear terms on mismatched input channel. This mismatched-channel situation is overcome by using the backstepping method. To authors best knowledge, this is first time to present the noninteger order backstepping approach. In order to demonstrate our design efficiency, some numerical simulations are shown.

Original language	English
Title of host publication	2014 International Conference on Advanced Mechatronic Systems, ICAMechS
Publisher	IEEE Computer Society
Pages	171-174
Number of pages	4
ISBN (Electronic)	9781479963812
DOIs	https://doi.org/10.1109/ICAMechS.2014.6911645
Publication status	Published - 2014 Sept 25
Event	2014 International Conference on Advanced Mechatronic Systems, ICAMechS 2014 - Kumamoto, Japan Duration: 2014 Aug 10 → 2014 Aug 12

Publication series

Name	International Conference on Advanced Mechatronic Systems, ICAMechS
ISSN (Print)	2325-0682
ISSN (Electronic)	2325-0690

Other

Other	2014 International Conference on Advanced Mechatronic Systems, ICAMechS 2014
Country/Territory	Japan
City	Kumamoto
Period	14/8/10 → 14/8/12

Keywords

backstepping
fractional calculus
non-integer order calculus
sliding mode control

ASJC Scopus subject areas

Electrical and Electronic Engineering
Mechanical Engineering

Access to Document

10.1109/ICAMechS.2014.6911645

Cite this

Takamatsu, T., Kubo, K., & Ohmori, H. (2014). Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function. In 2014 International Conference on Advanced Mechatronic Systems, ICAMechS (pp. 171-174). Article 6911645 (International Conference on Advanced Mechatronic Systems, ICAMechS). IEEE Computer Society. https://doi.org/10.1109/ICAMechS.2014.6911645

Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function. / Takamatsu, Takahiro; Kubo, Koushirou; Ohmori, Hiromitsu.
2014 International Conference on Advanced Mechatronic Systems, ICAMechS. IEEE Computer Society, 2014. p. 171-174 6911645 (International Conference on Advanced Mechatronic Systems, ICAMechS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takamatsu, T, Kubo, K & Ohmori, H 2014, Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function. in 2014 International Conference on Advanced Mechatronic Systems, ICAMechS., 6911645, International Conference on Advanced Mechatronic Systems, ICAMechS, IEEE Computer Society, pp. 171-174, 2014 International Conference on Advanced Mechatronic Systems, ICAMechS 2014, Kumamoto, Japan, 14/8/10. https://doi.org/10.1109/ICAMechS.2014.6911645

Takamatsu T, Kubo K, Ohmori H. Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function. In 2014 International Conference on Advanced Mechatronic Systems, ICAMechS. IEEE Computer Society. 2014. p. 171-174. 6911645. (International Conference on Advanced Mechatronic Systems, ICAMechS). doi: 10.1109/ICAMechS.2014.6911645

Takamatsu, Takahiro ; Kubo, Koushirou ; Ohmori, Hiromitsu. / Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function. 2014 International Conference on Advanced Mechatronic Systems, ICAMechS. IEEE Computer Society, 2014. pp. 171-174 (International Conference on Advanced Mechatronic Systems, ICAMechS).

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Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function

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