Sum of squares based nonlinear control design for diesel engine

In this paper we propose a nonlinear controller based on sum of squares decomposition applied to turbocharged diesel engine. The basic idea is to employ polynomial Lyapunov function in order to formulate the stability sufficient condition in the terms of state dependent matrix inequalities. The obtained controller gain guarantees the global convergence of the system and regulates the flows for the Variable Geometry Turbocharger and the Exhaust Gas Recirculation systems in order to minimize the NOx emission and the smoke of diesel engine. Simulation of the control performances through a professional software shows the effectiveness of this approach.