Mode Control For Fractional-order Systems Research Articles

Adaptive Continuous Sliding Mode Control for Fractional-order Systems with Uncertainties and Unknown Control Gains

Adaptive Continuous Sliding Mode Control for Fractional-order Systems with Uncertainties and Unknown Control Gains

Adaptive interval type-2 fuzzy sliding mode control for fractional-order systems based on finite-time scheme

Adaptive interval type-2 fuzzy sliding mode control for fractional-order systems based on finite-time scheme

Integral sliding mode control for fractional-order systems with mismatched uncertainties

This paper presents the integral sliding mode control for fractional-order systems with input disturbance and mismatched uncertainties. For fractional-order systems with the fractional order α satisfying 0<α<1 and 1<α<2, two theorems are proposed to design the stable integral sliding mode surfaces by the LMI conditions and the properties of the Kronecker product, respectively. Moreover, the integral sliding mode control is designed to eliminate the reaching stage for enhancing the robustness of fractional-order systems. Two examples are given to verify the effectiveness of the proposed methods.