Title: Non-linear feedback control of the ZI powertrain

Authors: A.F.A. Serrarens, T.A. Vijlbrief, M. Steinbuch

Addresses: Drivetrain Innovations BV, Horsten 1, 5612 AX, Eindhoven, The Netherlands. ' DAF Trucks NV, P.O. Box 90065, 5600 PT, Eindhoven, The Netherlands. ' Department of Mechanical Engineering, Technische Universiteit Eindhoven, Den Dolech 2, 5600 MB, Eindhoven, The Netherlands

Abstract: A control law is derived for the Zero-Inertia (ZI) powertrain, a non-linear system with an ill-defined relative degree. Classical non-linear feedback control of this system is impossible. The control law designed in this article uses approximate input-output linearisation. Stability of the closed loop system is proved using Lyapunov|s direct method and the theorem of Hartman-Grobman. Simulations show that the new control law results in good tracking behaviour.

Keywords: continuously variable transmission; CVT; drivetrain; engine; feedback control; ill-defined degree; input-output linearisation; nonlinear control; non-minimum phase; passenger cars; vehicle design; zero-inertia powertrain; stability; simulation; tracking behaviour; control synthesis modelling.

DOI: 10.1504/IJVD.2005.008474

International Journal of Vehicle Design, 2005 Vol.39 No.3, pp.257 - 271

Published online: 21 Dec 2005 *

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