Stabilisation of commensurate fractional-order polytopic non-linear differential inclusion subject to input non-linearity and unknown disturbances

In this study, a fractional-order adaptive-sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional-order polytopic non-linear differential inclusion systems containing sector and dead-zone nonlinearities in the control inputs and unknown bounded disturbances. The suggested...

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Published inIET control theory & applications Vol. 7; no. 12; pp. 1624 - 1633
Main Authors Abooee, Ali, Haeri, Mohammad
Format Journal Article
LanguageEnglish
Published Stevenage The Institution of Engineering and Technology 01.08.2013
John Wiley & Sons, Inc
Subjects
Adaptation
adaptive control
bounded disturbance
closed loop systems
closed‐loop system
commensurate fractional‐order polytopic nonlinear differential inclusion
Computer simulation
control input
control nonlinearities
Control systems
dead‐zone nonlinearities
Disturbances
fractional‐order adaptive‐sliding mode control
Inclusions
input nonlinearity
Lyapunov methods
Lyapunov stability theorem
Mathematical models
nonlinear control systems
Nonlinearity
sector nonlinearities
SMC scheme
stabilisation
Stability
variable structure systems
SMC scheme
dead-zone nonlinearities
adaptive control
stabilisation
Lyapunov stability theorem
closed loop systems
sector nonlinearities
input nonlinearity
nonlinear control systems
control input
control nonlinearities
bounded disturbance
fractional-order adaptive-sliding mode control
stability
variable structure systems
commensurate fractional-order polytopic nonlinear differential inclusion
closed-loop system
Lyapunov methods
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Abstract In this study, a fractional-order adaptive-sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional-order polytopic non-linear differential inclusion systems containing sector and dead-zone nonlinearities in the control inputs and unknown bounded disturbances. The suggested control method is composed of fractional-order sliding surfaces, adaptive-SMC inputs and adaptation laws for unknown bounds of disturbances. The Lyapunov stability theorem is used to prove the stability of the closed-loop system. A practical system and two numerical examples are simulated to show the effectiveness and performance of the proposed control technique.
AbstractList In this study, a fractional-order adaptive-sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional-order polytopic non-linear differential inclusion systems containing sector and dead-zone nonlinearities in the control inputs and unknown bounded disturbances. The suggested control method is composed of fractional-order sliding surfaces, adaptive-SMC inputs and adaptation laws for unknown bounds of disturbances. The Lyapunov stability theorem is used to prove the stability of the closed-loop system. A practical system and two numerical examples are simulated to show the effectiveness and performance of the proposed control technique.
In this study, a fractional-order adaptive-sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional-order polytopic non-linear differential inclusion systems containing sector and dead-zone nonlinearities in the control inputs and unknown bounded disturbances. The suggested control method is composed of fractional-order sliding surfaces, adaptive-SMC inputs and adaptation laws for unknown bounds of disturbances. The Lyapunov stability theorem is used to prove the stability of the closed-loop system. A practical system and two numerical examples are simulated to show the effectiveness and performance of the proposed control technique. [PUBLICATION ABSTRACT]
Author Haeri, Mohammad
Abooee, Ali
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  fullname: Abooee, Ali
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– sequence: 2
  givenname: Mohammad
  surname: Haeri
  fullname: Haeri, Mohammad
  email: haeri@sina.sharif.edu
  organization: Department of Electrical Engineering, Advanced Control Systems Laboratory, Sharif University of Technology, Tehran, Iran
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2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
Copyright The Institution of Engineering & Technology Aug 2013
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Issue 12
Keywords SMC scheme
dead-zone nonlinearities
adaptive control
stabilisation
Lyapunov stability theorem
closed loop systems
sector nonlinearities
input nonlinearity
nonlinear control systems
control input
control nonlinearities
bounded disturbance
fractional-order adaptive-sliding mode control
stability
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closed-loop system
Lyapunov methods
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SSID ssj0055645
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Snippet In this study, a fractional-order adaptive-sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional-order polytopic non-linear...
In this study, a fractional‐order adaptive‐sliding mode control (SMC) scheme is proposed to stabilise commensurate fractional‐order polytopic non‐linear...
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SubjectTerms Adaptation
adaptive control
bounded disturbance
closed loop systems
closed‐loop system
commensurate fractional‐order polytopic nonlinear differential inclusion
Computer simulation
control input
control nonlinearities
Control systems
dead‐zone nonlinearities
Disturbances
fractional‐order adaptive‐sliding mode control
Inclusions
input nonlinearity
Lyapunov methods
Lyapunov stability theorem
Mathematical models
nonlinear control systems
Nonlinearity
sector nonlinearities
SMC scheme
stabilisation
Stability
variable structure systems
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Title Stabilisation of commensurate fractional-order polytopic non-linear differential inclusion subject to input non-linearity and unknown disturbances
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