Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems

الملخص EN

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.