In this paper, a sliding-mode observer for systems with unknown inputs is presented. The system considered is a vehicle model with unknown inputs that represent the road profile variations. Coefficients of road adhesion are considered as unknown parameters. The tyre-road friction depends essentially on these parameters. The developed observer permits these longitudinal forces acting on the wheels to be estimated. Then another observer is developed to estimate the unknown inputs. In the first part of this work, some results are presented which are related to the validation of a full-car modelization, by means of comparisons between simulation results and experimental measurements (from a Peugeot 406 as a test car).
Van Der JagtP.ParsonA.Road surface correction of tire test data. In Proceedings of the First International Colloqium on Tyre Models for Vehicles Dynamics Analysis, Delft, The Netherlands, 21–22 October 1991.
2.
MisunV.Simulation of the interaction between vehicle wheel and the unevenness of the road surface. Veh. System Dynamics, 1990, 19, 237–253.
3.
HarrisonR. F.The non-stationary response of vehicles on rough ground. PhD thesis, Institute of Sound and Vibration Research Faculty of Engineering and Applied Science, University of Southampton, 1983.
4.
PongM.-F. M.The development of an extensive-range dynamic road profile and roughness measuring system. Thesis, Mechanical Engineering, The Pennsylvania State University, May 1992.
5.
KarunasenaW. G.Determination of road roughness from inertial profilometer data. PhD thesis, The Pennsylvania State University, University Park, Pennsylvania, USA, 1984.
6.
SpanglerE. B.KellyW. J.GMR road profilometer method for measuring road profile. Publication GMR-452, General Motors Research, 1964.
7.
GillespieT. D.SayersM. W.HaganM. R.Methodology for road roughness profiling and rut depth measurement. Report FHWA/RD-87–042, Federal Highway Administration, 1987, 50 pp.
8.
ImineH.M'SirdiN. K.DelanneY.Adaptive observers and estimation of the road profile. In Proceedings of the SAE World Congress, Detroit, Michigan, USA, March 2003, pp. 175–180 (Society of Automotive Engineers, New York).
9.
BarbotJ. P.BoukhobzaT.DjemaiM.Triangular input observer form and sliding mode observer. In Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, 1996, pp. 1489–1491 (IEEE, New York).
10.
BestleD.ZeitzM.Canonical form observer design for nonlinear time varying systems. Int. J. Control, 1988, 47, 1823–1836.
11.
DrakunovS. V.Sliding-mode observers based on equivalent control method. In Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, Arizona, USA, 1992, pp. 2368–2369 (IEEE, New York).
12.
XiaX.GaoW.Nonlinear observer design by observer error linearization. SIAM J. Control Optimization, 1989, 27 (1), 199–213.
13.
MendozaR. R.Sur la modèlisation et la commande des véhicules automobiles. Thèse de Doctorat, Institut National Polytechnique de Grenoble, Grenoble, France, 22 July.
14.
CanudasC.HorowitzR.Observer for tire road contact friction using only wheel angular velocity information. In Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, Arizona, USA, 1999 pp. 3932–3937 (IEEE, New York).
15.
BakkerE.PacejkaH. B.LinderL.A new tire model with an application in vehicle dynamics studies. SAE Trans., 1989, 98 (6), 101–113.
HostetterG.MeditchJ. S.Observing systems with unmeasurable inputs. IEEE Trans. Autom. Control, June 1973, 18, 307–308.
19.
JohnsonC. D.On observers for systems with unknown and inaccessible inputs. Int. J. Control, 1974, 21 (5), 825–831.
20.
YangH.SaifM.Fault detection in a class of nonlinear systems via adaptive sliding observer design. In Proceedings of the IEEE Conference on Systems, Man and Cybernetics, 1995, pp. 2199–2204 (IEEE, New York).
21.
UtkinV. I.DrakunovS.Sliding mode observer. In Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, USA, 1995, pp. 3376–3378 (IEEE, New York).
22.
LegeayV.DaburonP.GourraudC.Comparaison de mesures de l'uni par analyseur de profil en long et par compensation dynamique. Bulletin Interne, Laboratoire Central des Ponts et Chaussées, Division Gestion et Entretien des Routes-IRVAR, December 1994.
