An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems

Abstract This paper proposes an active fault‐tolerant control (FTC) strategy for a class of non‐linear Lipschitz systems. The proposed FTC approach employs the integral sliding mode control (ISMC) technique due to its inherent capability of dealing with system uncertainties. First, under the nominal...

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Main Authors: Muhammad Ammar Ashraf, Salman Ijaz, Yao Zou, Mirza Tariq Hamayun
Format: Article
Language:English
Published: Wiley 2021-02-01
Series:IET Control Theory & Applications
Subjects:
Online Access:https://doi.org/10.1049/cth2.12050
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author Muhammad Ammar Ashraf
Salman Ijaz
Yao Zou
Mirza Tariq Hamayun
author_facet Muhammad Ammar Ashraf
Salman Ijaz
Yao Zou
Mirza Tariq Hamayun
author_sort Muhammad Ammar Ashraf
collection DOAJ
description Abstract This paper proposes an active fault‐tolerant control (FTC) strategy for a class of non‐linear Lipschitz systems. The proposed FTC approach employs the integral sliding mode control (ISMC) technique due to its inherent capability of dealing with system uncertainties. First, under the nominal fault‐free condition, the linear matrix inequality technique is introduced to design the primary controller for the non‐linear Lipschitz system. To accommodate the actuator faults/failures, the ISMC law is combined with a control allocation scheme that distributes the control signals to the redundant actuators. A non‐linear octorotor system is then used as a test bench to validate the tolerance performance of the proposed FTC strategy. In particular, the proposed FTC strategy is applied for the inner‐loop control, while in the outer loop, a fractional‐order control approach is used to achieve the precise longitude and latitude control. Finally, various simulations are performed to justify the effectiveness of the proposed control scheme.
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spelling doaj.art-4a17e8141f7e4c07a469d1f3c245e3542022-12-22T01:56:14ZengWileyIET Control Theory & Applications1751-86441751-86522021-02-0115339040310.1049/cth2.12050An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systemsMuhammad Ammar Ashraf0Salman Ijaz1Yao Zou2Mirza Tariq Hamayun3School of Automation and Electrical Engineering University of Science and Technology Beijing Beijing ChinaDepartment of Electrical and Electronics Engineering University of Nottingham Ningbo China Ningbo ChinaSchool of Automation and Electrical Engineering University of Science and Technology Beijing Beijing ChinaDepartment of Electrical and Computer Engineering COMSATS University Islamabad Lahore Campus PakistanAbstract This paper proposes an active fault‐tolerant control (FTC) strategy for a class of non‐linear Lipschitz systems. The proposed FTC approach employs the integral sliding mode control (ISMC) technique due to its inherent capability of dealing with system uncertainties. First, under the nominal fault‐free condition, the linear matrix inequality technique is introduced to design the primary controller for the non‐linear Lipschitz system. To accommodate the actuator faults/failures, the ISMC law is combined with a control allocation scheme that distributes the control signals to the redundant actuators. A non‐linear octorotor system is then used as a test bench to validate the tolerance performance of the proposed FTC strategy. In particular, the proposed FTC strategy is applied for the inner‐loop control, while in the outer loop, a fractional‐order control approach is used to achieve the precise longitude and latitude control. Finally, various simulations are performed to justify the effectiveness of the proposed control scheme.https://doi.org/10.1049/cth2.12050Aerospace controlMobile robotsAlgebraLinear control systemsControl system analysis and synthesis methodsStability in control theory
spellingShingle Muhammad Ammar Ashraf
Salman Ijaz
Yao Zou
Mirza Tariq Hamayun
An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
IET Control Theory & Applications
Aerospace control
Mobile robots
Algebra
Linear control systems
Control system analysis and synthesis methods
Stability in control theory
title An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
title_full An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
title_fullStr An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
title_full_unstemmed An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
title_short An integral sliding mode fault tolerant control for a class of non‐linear Lipschitz systems
title_sort integral sliding mode fault tolerant control for a class of non linear lipschitz systems
topic Aerospace control
Mobile robots
Algebra
Linear control systems
Control system analysis and synthesis methods
Stability in control theory
url https://doi.org/10.1049/cth2.12050
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