On non-linear unknown input observers–applied to lateral vehicle velocity estimation on banked roads

Unknown input observers (UIOs) are observers that have stable error dynamics that are independent of unknown inputs. This paper studies such observers for non-linear systems, and shows that the error dynamics for a non-linear UIO has the same structure as the error dynamics of a non-linear observer without unknown inputs. This result is first used to provide synthesis inequalities for UIOs for a class of non-linear systems, and secondly, to inspire the design of an observer for estimation of vehicle lateral velocity on banked roads.

[1]  M. Darouach,et al.  Full-order observers for linear systems with unknown inputs , 1994, IEEE Trans. Autom. Control..

[2]  Jaime A. Moreno,et al.  CONSTRUCTIVE DESIGN OF UNKNOWN INPUT NONLINEAR OBSERVERS BY DISSIPATIVITY AND LMIS , 2005 .

[3]  H.F. Grip,et al.  Nonlinear Vehicle Velocity Observer with Road-Tire Friction Adaptation , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[4]  Jaime A. Moreno,et al.  Unknown input observers for SISO nonlinear systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  Jaime A. Moreno,et al.  Dissipativity and Design of Unknown Input Observers for Nonlinear Systems , 2004 .

[6]  Rajesh Rajamani,et al.  Real-time identification of road-bank angle using differential GPS , 2004, IEEE Transactions on Control Systems Technology.

[7]  Paul M. Frank,et al.  Fault-diagnosis by disturbance decoupled nonlinear observers , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[8]  Tor Arne Johansen,et al.  Nonlinear vehicle side-slip estimation with friction adaptation , 2008, Autom..

[9]  Yoshiki Fukada,et al.  SLIP-ANGLE ESTIMATION FOR VEHICLE STABILITY CONTROL , 1999 .

[10]  Murat Arcak,et al.  Observer design for systems with multivariable monotone nonlinearities , 2003, Syst. Control. Lett..

[11]  Petar V. Kokotovic,et al.  Nonlinear observers: a circle criterion design and robustness analysis , 2001, Autom..

[12]  Uwe Kiencke,et al.  Automotive Control Systems , 2005 .

[13]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[14]  Jie Chen,et al.  Design of unknown input observers and robust fault detection filters , 1996 .

[15]  Thor I. Fossen,et al.  A nonlinear observer for GPS and INS integration , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[16]  Tor Arne Johansen,et al.  Nonlinear Observer for Vehicle Velocity with Friction and Road Bank Angle Adaptation - Validation and Comparison with an Extended Kalman Filter , 2007 .

[17]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[18]  Tor Arne Johansen,et al.  Vehicle velocity estimation using nonlinear observers , 2006, Autom..

[19]  Huei Peng,et al.  A study on lateral speed estimation methods , 2004 .

[20]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[21]  Huei Peng,et al.  Inverse-Dynamics Based State and Disturbance Observers for Linear Time-Invariant Systems , 2002 .

[22]  Hongtei Eric Tseng,et al.  Dynamic Estimation of Road Bank Angle , 2001 .

[23]  Bjørnar Vikand Thor I.Fossen.  A Nonlinear Observer for Integration of GPS and INS Attitude , 1999 .