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Sliding mode control of fractional order nonlinear differential inclusion systems

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Abstract

In this paper, variable structure control is utilized for stabilization of a particular class of nonlinear polytopic differential inclusion systems with fractional-order-0 < q < 1. By defining a sliding surface with fractional integral formula and obtaining sufficient conditions for stability of the sliding surface, a special feedback law is presented which enables the system states to reach the sliding surface and consequently creates a sliding mode control. Finally, the performance of the proposed method is illustrated with examples and related numerical simulations results.

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  1. Gonabad Branch, Islamic Azad University, Gonabad, Iran

    Saeed Balochian

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  1. Saeed Balochian
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Correspondence to Saeed Balochian.

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Balochian, S. Sliding mode control of fractional order nonlinear differential inclusion systems. Evolving Systems 4, 145–152 (2013). https://doi.org/10.1007/s12530-012-9048-3

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  • DOI: https://doi.org/10.1007/s12530-012-9048-3

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