A full block S-procedure with applications

We provide a general result that allows us to equivalently translate robust performance analysis specifications characterized through a single quadratic Lyapunov function into the corresponding analysis test with multipliers. As an illustration we apply the technique to robust quadratic and robust g...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 3; pp. 2602 - 2607 vol.3
Main Author Scherer, C.W.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Control systems
Kernel
Lyapunov method
Mechanical engineering
Performance analysis
Robust stability
Robustness
Terminology
Testing
Uncertainty
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Summary:We provide a general result that allows us to equivalently translate robust performance analysis specifications characterized through a single quadratic Lyapunov function into the corresponding analysis test with multipliers. As an illustration we apply the technique to robust quadratic and robust generalized H/sub 2/ performance, and we comment on the wide range of its applicability. Finally, we reveal how this technique allows us to approach LPV (linear parameter varying) problems in which the control input and measurement output matrix are parameter dependent. The latter is made possible by letting the parameter enter the LPV controller via a kernel representation that generalizes the more conventional LFT structure.
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.657769