Robustness guarantees for linear control designs with an estimated nonlinear model error model

Much attention in robust identification and control has been focused on linear low order models approximating high order linear systems. We consider the more realistic situation with a linear model ...

[1]  Lennart Ljung,et al.  Model Validation and Model Error Modeling , 1999 .

[2]  P. Dower Comments on /spl Lscr//sub 2/-gain analysis of systems with persistent outputs , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[3]  L. Ljung,et al.  The role of model validation for assessing the size of the unmodeled dynamics , 1997, IEEE Trans. Autom. Control..

[4]  Roy S. Smith,et al.  Continuous-time control model validation using finite experimental data , 1996, IEEE Trans. Autom. Control..

[5]  Lennart Ljung,et al.  Nonlinear black-box modeling in system identification: a unified overview , 1995, Autom..

[6]  John Doyle,et al.  Model validation: a connection between robust control and identification , 1992 .

[7]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[8]  Xavier Bombois,et al.  A measure of robust stability for an identified set of parametrized transfer functions , 2000, IEEE Trans. Autom. Control..

[9]  P. V. D. Hof,et al.  Identification of probabilistic system uncertainty regions by explicit evaluation of bias and variance errors , 1997, IEEE Trans. Autom. Control..

[10]  M. James,et al.  Stability of nonlinear systems with worst case power gain disturbances , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[11]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[12]  Graham C. Goodwin,et al.  Estimated Transfer Functions with Application to Model Order Selection , 1992 .

[13]  Pramod Khargonekar,et al.  A Time-Domain Approach to Model Validation , 1992, 1992 American Control Conference.

[14]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.