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

Abooee, A ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cta.2013.0038
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Bounded disturbances ; Control techniques ; Dead-zone nonlinearity ; Differential inclusions ; Fractional-order sliding surfaces ; Input non linearities ; Lyapunov stability theorem ; Unknown disturbance ; Control nonlinearities ; Differential equations ; Numerical methods ; Adaptive control systems
  8. Source: IET Control Theory and Applications ; Volume 7, Issue 12 , 2013 , Pages 1624-1633 ; 17518644 (ISSN)
  9. URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6595174&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel7%2F4079545%2F6595169%2F06595174.pdf%3Farnumber%3D6595174