Set-membership identification of LPV models with uncertain measurements of the time-varying parameter

In this paper the identification of SISO linear parameter varying (LPV) models when both the output and the time-varying parameter measurements are affected by bounded noise is considered. First, the problem is formulated in terms of Error-in-variables (EIV) identification in presence of bounded noise. Then, a polytopic outer approximation of the feasible parameter set (FPS) and the parameters uncertainty intervals (PUI) of the LPV model are computed solving the EIV problem.

[1]  J. Norton,et al.  Bounding Approaches to System Identification , 1996 .

[2]  E. Walter,et al.  Estimation of parameter bounds from bounded-error data: a survey , 1990 .

[3]  R. Tempo,et al.  Optimality of central and projection algorithms for bounded uncertainty , 1986 .

[4]  J. Norton,et al.  Parameter-Bounding Algorithms for Linear Errors in Variables Models , 1992 .

[5]  Michel Verhaegen,et al.  Identification of linear parameter-varying state-space models with application to helicopter rotor dynamics , 2004 .

[6]  Luc Jaulin,et al.  Applied Interval Analysis , 2001, Springer London.

[7]  Vincent Verdult,et al.  Kernel methods for subspace identification of multivariable LPV and bilinear systems , 2005, Autom..

[8]  M. Lovera,et al.  Identification of non-linear parametrically varying models using separable least squares , 2004 .

[9]  Marco Lovera,et al.  Identification of Nonlinear Parametrically Varying Models Using Separable Least Squares , 2003 .

[10]  R. Ravikanth,et al.  Identification of linear parametrically varying systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[11]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[12]  Michel Verhaegen,et al.  Subspace identification of MIMO LPV systems using a periodic scheduling sequence , 2007, Autom..

[13]  G. Belforte,et al.  Optimal worst case estimation for LPV-FIR models with bounded errors , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[14]  Antonio Vicino,et al.  Optimal estimation theory for dynamic systems with set membership uncertainty: An overview , 1991, Autom..

[15]  Mario Sznaier,et al.  An LMI approach to control-oriented identification and model (In) validation of LPV systems , 2003, IEEE Trans. Autom. Control..

[16]  Witold Pedrycz,et al.  Bounding approaches to system identification , 1997 .

[17]  Michel Verhaegen,et al.  Subspace identification of multivariable linear parameter-varying systems , 2002, Autom..

[18]  Lawton H. Lee,et al.  Identification of Linear Parameter-Varying Systems Using Nonlinear Programming , 1999 .

[19]  Bassam Bamieh,et al.  LPV model identification for gain scheduling control: An application to rotating stall and surge control problem , 2006 .

[20]  Vito Cerone,et al.  Feasible parameter set for linear models with bounded errors in all variables , 1993, Autom..

[21]  Bassam Bamieh,et al.  Identification of linear parameter varying models , 2002 .