Distributed Predefined-Time Fractional-Order Sliding Mode Control for Power System with Prescribed Tracking Performance

In this paper, a distributed predefined-time fractional-order sliding mode controller (DPTFOSMC) is proposed for performance enhancement of power system. The proposed DPTFOSMC is designed based on the multi-agent framework and distributed control theory, which can reduce the pressure of central controller in communication and calculation, thus obtaining fast and coordinated response. The DPTFOSMC can achieve the advantages of SMC with fast response and strong robustness for the power system. In addition, the power system can be stabilized in stable range within a predefined time under the DPTFOSMC, and the upper limited convergence time is directly equal to the tunable parameter, thus meeting the high requirement for convergence time of the power system. The prescribed performance function (PPF) is carried out to design the DPTFOSMC, which can maintain that the power system can obtain the expected transient responses. Meanwhile, fractional calculus is applied to devise the DPTFOSMC to eliminate chattering phenomenon of conventional SMC. The Lyapunov function is adopted to analysis the predefined-time stability of the power system under the proposed DPTFOSMC. Simulation are taken to validate the effectiveness of the DPTFOSMC. The results indicate that the power system under the DPTFOSMC can achieve superior performances than the existing control methods.