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

Author

Kuzmych, Olena ; El Hajjaji, Ahmed ; Aitouche, Abdel ; Bosche, Jerome

Author_Institution

Lesya Ukrainka East Eur. Nat. Univ., Lutsk, Ukraine

fYear

2015

fDate

28-30 April 2015

Firstpage

50

Lastpage

57

Abstract

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.

Keywords

Lyapunov methods; air pollution control; biofuel; control system synthesis; diesel engines; exhaust systems; fuel systems; linear matrix inequalities; nonlinear control systems; polynomials; smoke; stability; SOS-based control; controller gain; emission; exhaust gas recirculation systems; nonlinear control design; polynomial Lyapunov function; smoke; stability sufficient conditions; state dependent matrix inequalities; sum of squares decomposition; turbocharged biodiesel engine; variable geometry turbocharger; Biofuels; Diesel engines; Lyapunov methods; Manifolds; Temperature sensors;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control (ICSC), 2015 4th International Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4673-7108-7

Type

conf

DOI

10.1109/ICoSC.2015.7153278

Filename

7153278