TY - JOUR A2 - Tenreiro Machado, J. A. AU - Shi, Bao AU - Yuan, Jian AU - Dong, Chao PY - 2013 DA - 2013/11/11 TI - Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems SP - 918383 VL - 2013 AB - This paper deals with the problem of pseudo-state sliding modecontrol 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 slidingmode control law is designed using the theory of Mittag-Leffler stability. Further,we utilize the control methodology to synchronize two fractional chaoticsystems, which serves as an example of verifying the viability and effectivenessof the proposed technique. SN - 1687-9120 UR - https://doi.org/10.1155/2013/918383 DO - 10.1155/2013/918383 JF - Advances in Mathematical Physics PB - Hindawi Publishing Corporation KW - ER -