Design of An Active Control Method for Complete Stabilization of Unknown Fractional-Order Non-autonomous Systems

Roohi, Majid; Hadian, Hamidreza; Aghababa, Mohammad Pourmahmood; Amiri, Seyedeh Maedeh Mirmohseni

doi:10.1007/978-3-319-66514-6_15

Cited by 1 publication

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“…By using fractional calculus (FC), many complex dynamics can be qualified as the simple system comprising fractional-order (FO) derivatives (Bagley and Torvik, 1983; Haghighi and Roohi, 2012; Petras, 2011; Sun et al, 2018). Moreover, FC plays a useful role in the control theory and system modeling (Petras, 2011; Roohi et al, 2018; Ullah et al, 2017). By using FC in the system model, a control law with the ideal order integration can be designed.…”

Section: Introductionmentioning

confidence: 99%

A switching sliding mode control technique for chaos suppression of fractional-order complex systems

Roohi

Khooban

Esfahani³

et al. 2019

Transactions of the Institute of Measurement and Control

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Switching sliding mode control (SSMC) can be utilized as a robust control technique, which is appropriate for the control of highly non-linear power systems like chaotic systems. The present study proposes a switching sliding mode control technique for control and chaos suppression of non-autonomous fractional-order (FO) nonlinear power systems with uncertainties and external disturbances. In the first step, a novel fractional switching sliding surface is introduced as well as its stability analysis to the origin is demonstrated. In the second step, based on the fractional version of the Lyapunov stability theory, a robust non-singular control law is designed to ensure the convergence of the system trajectories to the proposed sliding surface. Next, the proposed SSMC approach is utilized for designing a single input switching control technique for the stabilization of a class of 3D FO chaotic power systems. In order to evaluate the effectiveness and robustness of the suggested approach in practice, two examples including control and the stabilization of FO chaotic electric motors are illustrated.

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