Observer-based adaptive fuzzy controller for uncertain non-strict state-delayed nonlinear systems subject to input and output constraints

This paper addresses the design of an observer-based adaptive fuzzy controller for a class of uncertain non-strict nonlinear systems subject to time-delays, unknown direction, input saturation, and output constraint. The Barrier Lyapunov Function (BLF) has been utilized to keep the system output ins...

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Published inJournal of the Franklin Institute Vol. 357; no. 12; pp. 7483 - 7514
Main Authors Askari, Mohammad Reza, Shahrokhi, Mohammad, Khajeh Talkhoncheh, Mahdi, Moradvandi, Ali
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.08.2020
Elsevier Science Ltd
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Online AccessGet full text
ISSN0016-0032
1879-2693
0016-0032
DOI10.1016/j.jfranklin.2020.05.006

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Abstract This paper addresses the design of an observer-based adaptive fuzzy controller for a class of uncertain non-strict nonlinear systems subject to time-delays, unknown direction, input saturation, and output constraint. The Barrier Lyapunov Function (BLF) has been utilized to keep the system output inside the desired bounds. The state and input delays have been handled by using the Lyapunov–Krasovskii function and including an integral compensator term in the controller, respectively. A state observer has been designed to estimate the unmeasured states. The Lipschitz condition for proving boundedness of the estimated states has been relaxed. The Nussbaum gain function has been exploited to deal with the problem of unknown control directions. The fuzzy logic approximation has been utilized to avoid the “explosion of complexity” occurring in the traditional backstepping technique. It has been shown that all closed-loop signals are semi-globally uniformly ultimately bounded (SGUUB) and the output tracking error converges to a small neighborhood of the origin by choosing the design parameters appropriately. Effectiveness of the proposed control scheme has been demonstrated via two practical examples.
AbstractList This paper addresses the design of an observer-based adaptive fuzzy controller for a class of uncertain non-strict nonlinear systems subject to time-delays, unknown direction, input saturation, and output constraint. The Barrier Lyapunov Function (BLF) has been utilized to keep the system output inside the desired bounds. The state and input delays have been handled by using the Lyapunov–Krasovskii function and including an integral compensator term in the controller, respectively. A state observer has been designed to estimate the unmeasured states. The Lipschitz condition for proving boundedness of the estimated states has been relaxed. The Nussbaum gain function has been exploited to deal with the problem of unknown control directions. The fuzzy logic approximation has been utilized to avoid the "explosion of complexity" occurring in the traditional backstepping technique. It has been shown that all closed-loop signals are semi-globally uniformly ultimately bounded (SGUUB) and the output tracking error converges to a small neighborhood of the origin by choosing the design parameters appropriately. Effectiveness of the proposed control scheme has been demonstrated via two practical examples.
Author Askari, Mohammad Reza
Khajeh Talkhoncheh, Mahdi
Moradvandi, Ali
Shahrokhi, Mohammad
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Snippet This paper addresses the design of an observer-based adaptive fuzzy controller for a class of uncertain non-strict nonlinear systems subject to time-delays,...
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SubjectTerms Adaptive systems
Closed loop systems
Controllers
Design parameters
Fuzzy control
Fuzzy logic
Liapunov functions
Lipschitz condition
Nonlinear systems
State observers
Tracking errors
Title Observer-based adaptive fuzzy controller for uncertain non-strict state-delayed nonlinear systems subject to input and output constraints
URI https://dx.doi.org/10.1016/j.jfranklin.2020.05.006
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