Identification and visualization of robust-control-relevant model sets with application to an industrial wafer stage

The performance of robust controllers hinges on the underlying model set. However, at present it is unclear which properties of the physical system should be accurately identified to enable high performance robust control. The aim of this paper is to clarify the intimate relation between quality of certain physical system properties and the resulting control performance. Hereto, an extended robust-control-relevant system identification methodology and a new visualisation approach is developed that is applicable to multivariable systems. The developed methodology is applied to an industrial wafer stage system. Experimental results indeed confirm that the developed techniques contribute to clarifying the complex relation between system identification and robust control.

[1]  André L. Tits,et al.  A measure of worst-case H ∞ performance and of largest acceptable uncertainty , 1992 .

[2]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[3]  Tom Oomen,et al.  Well-Posed Model Uncertainty Estimation by Design of Validation Experiments , 2009 .

[4]  Roy S. Smith,et al.  A generalization of the structured singular value and its application to model validation , 1998, IEEE Trans. Autom. Control..

[5]  J. W. Brown,et al.  Complex Variables and Applications , 1985 .

[6]  Sippe G. Douma,et al.  Relations between uncertainty structures in identification for robust control , 2005, Autom..

[7]  S. G. Douma,et al.  Relation between uncertainty structures in identification for robust control , 2003 .

[8]  R. A. de Callafon,et al.  Performance weight adjustment for iterative cautious control design , 2007, 2007 European Control Conference (ECC).

[9]  Tom Oomen,et al.  Experimental evaluation of robust-control-relevance: A confrontation with a next-generation wafer stage , 2010, Proceedings of the 2010 American Control Conference.

[10]  P. V. D. Hof,et al.  Suboptimal feedback control by a scheme of iterative identification and control design , 1997 .

[11]  Tae Tom Oomen,et al.  Robust-Control-Relevant Coprime Factor Identification with Application to Model Validation of a Wafer Stage , 2009 .

[12]  Michel Gevers,et al.  Towards a Joint Design of Identification and Control , 1993 .

[13]  Pedro Albertos,et al.  Iterative Identification and Control , 2002, Springer London.

[14]  Ruud J. P. Schrama Accurate identification for control: the necessity of an iterative scheme , 1992 .

[15]  Håkan Hjalmarsson,et al.  From experiment design to closed-loop control , 2005, Autom..

[16]  Brian D. O. Anderson,et al.  Model validation for control and controller validation in a prediction error identification framework - Part I: theory , 2003, Autom..

[17]  C.C.H. Ma Comments on "A necessary and sufficient condition for stability of a perturbed system" by Q. Huang and R. Liu , 1988 .