Sum of squares based nonlinear control design for diesel engine

Abstract

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 NO x emission and the smoke of diesel engine. Simulation of the control performances through a professional software shows the effectiveness of this approach.

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

“…[20] for details) and introducing a new coordinate z = p μ im − (p e im ) μ and renders from new inputs w 1 , w 2 to the outputs y 1 , y 2 the system becomeṡ…”

“…We defineā 31 (x),ā 32 (x),b 31 (x),b 32 (x) as maximal functions bounds relatively of the variables p im , p em , z. The majorization of these functions and their new (y 1 , y 2 , z)depending forms are given in [20].…”

“…This paper is an extension of the work [20] with application to biodiesel engine. We propose a new way to apply Sum-of-Squares (SOS) approach that has been used in order to design the nonlinear polynomial control for biodiesel engine.…”