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

In this paper we develop a nonlinear controller based on sum of squares decomposition applied to turbocharged biodiesel engine. The basic idea is to employ polynomial Lyapunov function in order to formulate the stability sufficient conditions in the terms of state dependent matrix inequalities. The obtained controller gain regulates the flows for the Variable Geometry Turbocharger and the Exhaust Gas Recirculation systems in order to minimize the NO_x emission and the smoke of diesel engine. SOS-based control has been simulated on experimental biodiesel testbed shows the effectiveness of this approach.