%0 Journal Article %1 french2000 %A French, M.C. %A Szepesvári, Cs. %A Rogers, E. %D 2000 %J IEEE Transactions on Automatic Control %K Lyapunov adaptive bounds, chain control, design, feedback, integrators, matched nonparametrics, of performance stabilization strict theory, uncertainty, %N 2 %P 353--358 %T Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control %V 45 %X We consider systems satisfying a matching condition which are functionally known up to weighted L2 and L1 measures of uncertainty. A modified LQ measure of control and state transient performance is given, and the performance of a class of approximate model based adaptive controllers is studied. An upper performance bound is derived in terms of the uncertainty models (stability and the state transient bounds require only the L2 uncertainty model; control effort bounds require both L2 and L1 uncertainty models), and various structural properties of the model basis. Sufficient conditions are given to ensure that the performance is bounded independently of the model basis size.

@article{french2000, abstract = {We consider systems satisfying a matching condition which are functionally known up to weighted L2 and L1 measures of uncertainty. A modified LQ measure of control and state transient performance is given, and the performance of a class of approximate model based adaptive controllers is studied. An upper performance bound is derived in terms of the uncertainty models (stability and the state transient bounds require only the L2 uncertainty model; control effort bounds require both L2 and L1 uncertainty models), and various structural properties of the model basis. Sufficient conditions are given to ensure that the performance is bounded independently of the model basis size.}, added-at = {2020-03-17T03:03:01.000+0100}, author = {French, M.C. and Szepesv{\'a}ri, {Cs}. and Rogers, E.}, biburl = {https://www.bibsonomy.org/bibtex/29c7e1ac3bfbd96ffc70347e4ff33ae96/csaba}, date-added = {2010-08-28 17:38:14 -0600}, date-modified = {2010-09-02 13:09:16 -0600}, interhash = {a5339bac90f5e7929b586613ad7b774a}, intrahash = {9c7e1ac3bfbd96ffc70347e4ff33ae96}, journal = {IEEE Transactions on Automatic Control}, keywords = {Lyapunov adaptive bounds, chain control, design, feedback, integrators, matched nonparametrics, of performance stabilization strict theory, uncertainty,}, number = 2, pages = {353--358}, pdf = {papers/fsr97.ps.pdf}, timestamp = {2020-03-17T03:03:01.000+0100}, title = {Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control}, volume = 45, year = 2000 }