Finite-time active disturbance rejection control of stochastic Poisson jump systems

This paper studies the finite-time active disturbance rejection control(ADRC) problem of the continuous-time stochastic Poisson jump systems(PJSs) with mismatched disturbances via extended state observer (ESO) method. The expansion variable is used to transform the PJSs into new stochastic expansion systems, which is to compensate effect of the mismatched disturbances to the systems. Some sufficient conditions are given to ensure the augmented PJSs finite-time bounded by using the generalization Lyapunov-Krasovskii and linear matrix inequality methods. A numerical simulation experiment is provided to verify the effectiveness of the constructed ADRC laws and ESO