When does the $H^\infty$ fixed-lag smoothing performance saturates?

Mirkin, Leonid and Meinsma, Gjerrit (2002) When does the $H^\infty$ fixed-lag smoothing performance saturates? In: 15th IFAC World Congress, 21-26 July 2002, Barcelona, Spain.

PDF
Restricted to UT campus only: Request a copy
114Kb

Abstract:	A notable difference between the $H^2$ and $H^\infty$ smoothing is that the achievable performance in the latter problem might �saturate� as the function of the smoothing lag in the sense that there might exist a finite smoothing lag for which the achievable performance level is the same as for the infinite smoothing lag. In this note necessary and sufficient conditions under which such a saturation occurs are derived. In particular, it is shown that the $H^\infty$ performance saturates only if the $H^\infty$ norm of the optimal error system is achieved at the infinite frequency, i.e., if the worst case disturbance for the infinite smoothing lag case can be arbitrarily fast and thus in a sense unpredictable.
Item Type:	Conference or Workshop Item
Copyright:	© 2002 IFAC
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/69139
Official URL:	http://www.ifac-papersonline.net/Detailed/26722.html
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page

Metis ID: 210619

When does the fixed-lag smoothing performance saturates?

When does the $H^\infty$ fixed-lag smoothing performance saturates?