CLF-based nonlinear control design for turbocharged Diesel engine

Abstract

In this paper, we propose a Control Lyapunov Function based nonlinear robust controller for turbocharged Diesel engine. The basic idea is to develop inverse optimal control and utilize more general Lyapunov function which provides additional degree of freedom in order to achieve better performance. The obtained controller gain guarantees the global convergence of the Diesel engine system and regulates the flows for the Variable Geometry Turbocharger and Exhaust Gas Recirculation systems in order to optimize oxygen-fuel ratio and intake manifold EGR fraction. Simulation of the control performance based on professional simulator AMESim (LMS) shows the effectiveness of this approach.

Nonlinear Active Disturbance Rejection Control of VGT-EGR System in Diesel Engines

“…Compared with the control structure without nonlinear compensator, this control structure deals with nonlinear effects and reduces EGR error. Beside PID control method, other commonly used control methods are also applied in the control of VGT-EGR system in diesel engines, such as sliding mode control [6,7], model predictive control (MPC) [8,9] and control Lyapunov function (CLF) [10,11]. From the perspective of system theory, Shen, Wu and Zhang applied the optimal control strategy based on multi-valued logic to the control of internal combustion (IC) engines [12,13] and hybrid electric vehicles (HEVs) [14].…”

Sum of squares based nonlinear control design. Application to biodiesel engine

“…The usage of SOS decomposition for design of optimal diesel engine control is an unique feature. The proposed approach extends the quadratic Lyapunov function case considered in [12], [19] to more general polynomial Lyapunov function that helps to search for a best fit Lyapunov function and construct the resulting nonlinear control law so that the design objective can be optimized.…”