Finite-frequency static output feedback H∞ control for Diesel engine air path system with turbocharger

Abstract

This paper, we concentrate on the problem of finite-frequency (FF) static output feedback (SOF) H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control design for a four-cylinder diesel engine air path. The state space model of Diesel engine, firstly, is linearized around average an operating point of the diesel engine. Then, the robust integrator-based control strategy is developed to track the desired reference signals despite the presence of disturbances. The objective is to regulate the intake and exhaust manifold pressures to desired reference pressures by controlling the Geometry Turbine (VGT) and Exhaust Gas Recirculation (EGR) valves. For this, the considered average value model based descriptor approach is used to design a SOF controller to ensure a good tracking of the reference pressures. Sufficient conditions are established to ensure both the asymptotic stability of the resulting closed loop descriptor system and the prescribed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance. Simulation results, using nonlinear model of Diesel engine air path is provided to illustrate the performance of developed method.