Multivariable Bi-Objective Optimal Modification Adaptive Control for Turbofan Engine With Matched Uncertainty and Slow Actuator Dynamics

To address the multivariable control problem of turbofan engines with matched uncertainty and slow actuator dynamics (SAD), a bi-objective optimal modification adaptive control scheme is proposed. A singular perturbation approach is introduced to transform the plant and actuator dynamics into a reduced-order system with slow time coordinate. Based on this reduced-order system, the bi-objective optimal modification adaptive law (BOMAL) is deduced. Meanwhile, the stability of BOMAL is analyzed based on Lyapunov approach. The simulation results demonstrate that the proposed adaptive control method can effectively handle the control problem of turbofan engines with SAD. The superiority of the proposed bi-objective optimal modification adaptive controller is benchmarked with an LMI optimization gain scheduled controller and a $\mu $ synthesis controller.