Fault Tolerant Static Output Feedback $H_{\infty}$ Control for Diesel Engine System in the Finite Frequency Domain

This study focuses on the design of $H_{\infty}$ finite frequency (FF) fault tolerant (FF) static output feedback (SOF) problem of Diesel engine air-path system with consideration of actuator faults. The state space model of air-path system, firstly, is linearized around average an operating point of the Diesel engine. The aim is to regulate intake and exhaust manifold pressures to the desired reference pressures by controlling the Geometry Turbine (VGT) and Exhaust Gas Recirculation (EGR) valves. Then, the robust integrator-based control strategy is developed to track the desired reference signals despite the presence of disturbances and actuator faults. By constructing the Generalized Kalman Yakubovich Popov GKYP lemma, projection lemma and Lyapunov functions, sufficient conditions are established to ensure both the reference signal tracking and $H_{\infty}$ performance with FF domain. To corroborate the theoretical findings, a simulation results is employed, demonstrating the applicability of the proposed theorems.