Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control

Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control

An improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named non-singular fractional terminal sliding mode control (NFOTSM) is proposed for the nonlinear tire-road friction control system of vehicle in this paper. A fractional-order swit...

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Main Authors: Kening Li, Jianyong Cao, Fan Yu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/523251
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spelling doaj-e55803ae7c3b43eb9aa01141aca64bb62020-11-24T21:02:09ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/523251523251Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode ControlKening Li0Jianyong Cao1Fan Yu2State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaState Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaState Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaAn improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named non-singular fractional terminal sliding mode control (NFOTSM) is proposed for the nonlinear tire-road friction control system of vehicle in this paper. A fractional-order switching manifold is proposed, and the corresponding control law is formulated based on the Lyapunov stability theory to guarantee the sliding condition. The proposed controller ensures the finite time stability of the closed-loop system. Then, a terminal attractor is introduced to solve the singularity problem of fractional terminal sliding mode control (FOTSM). Finally, the performance of the NFOTSM is fully investigated compared with other related algorithms to find the effectiveness for the tire-road friction system. The results show that the NFOTSM has better performance than other related algorithms.http://dx.doi.org/10.1155/2013/523251
collection DOAJ
language English
format Article
sources DOAJ
author Kening Li
Jianyong Cao
Fan Yu
spellingShingle Kening Li
Jianyong Cao
Fan Yu
Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
Mathematical Problems in Engineering
author_facet Kening Li
Jianyong Cao
Fan Yu
author_sort Kening Li
title Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
title_short Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
title_full Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
title_fullStr Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
title_full_unstemmed Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
title_sort study on the nonsingular problem of fractional-order terminal sliding mode control
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description An improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named non-singular fractional terminal sliding mode control (NFOTSM) is proposed for the nonlinear tire-road friction control system of vehicle in this paper. A fractional-order switching manifold is proposed, and the corresponding control law is formulated based on the Lyapunov stability theory to guarantee the sliding condition. The proposed controller ensures the finite time stability of the closed-loop system. Then, a terminal attractor is introduced to solve the singularity problem of fractional terminal sliding mode control (FOTSM). Finally, the performance of the NFOTSM is fully investigated compared with other related algorithms to find the effectiveness for the tire-road friction system. The results show that the NFOTSM has better performance than other related algorithms.
url http://dx.doi.org/10.1155/2013/523251
work_keys_str_mv AT keningli studyonthenonsingularproblemoffractionalorderterminalslidingmodecontrol
AT jianyongcao studyonthenonsingularproblemoffractionalorderterminalslidingmodecontrol
AT fanyu studyonthenonsingularproblemoffractionalorderterminalslidingmodecontrol
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