Pseudo‐State Sliding Mode Control of Fractional SISO Nonlinear Systems

Bao Shi, Jian Yuan and Chao Dong

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

Abstract: This paper deals with the problem of pseudo‐state sliding mode control of fractional SISO nonlinear systems with model inaccuracies. Firstly, a stable fractional sliding mode surface is constructed based on the Routh‐Hurwitz conditions for fractional differential equations. Secondly, a sliding mode control law is designed using the theory of Mittag‐Leffler stability. Further, we utilize the control methodology to synchronize two fractional chaotic systems, which serves as an example of verifying the viability and effectiveness of the proposed technique.

Date: 2013
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https://doi.org/10.1155/2013/918383

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:918383

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