Robust Resilient Control Based on Multi-Approximator for the Uncertain Turbofan System With Unmeasured States and Disturbances

In this article, the resilient anti-disturbance control is studied for uncertain turbofan system subject to unmeasured states and multiple disturbances. Based on four kinds of disturbances in the addressed system, some disturbances are described as an external system by using available information while the others are assumed to be energy-bounded, which are included in the system dynamics, output measurement, and controlled output, simultaneously. Initially, a state observer and a disturbance observer are jointly constructed to estimate the unmeasured state and unknown disturbance. The estimation on disturbance is used in the feedforward controller to reject the disturbances and the state estimation is applied to the resilient output feedback controller, which guarantee that the closed-loop system is asymptotically stable with the L ₂ -L _∞ performance, and enhance the robustness of the uncertain turbofan system. Then, the Lyapunov stability theory and linear matrix inequality (LMI) technology are combined to obtain the algorithms on checking the controller gain and observer one. Finally, the effectiveness of our proposed methods is shown by using some numerical simulations.