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Links between the parameter space and frequency domain methods of robust control. (English) Zbl 1054.93019
Summary: Two main approaches to robust control are the parametric and frequency domain approaches. The aim of this paper, which starts with tutorial sections on both approaches, is to compare and establish links between the parameter space method of the parametric approach and frequency domain methods, with special emphasis on the structured singular value (SSV) method. In an effort to combine the useful properties of both approaches, two SSV minimization based design techniques in controller parameter space are presented here. A simple interpretation of real SSV in plant parameter space and its further implications for analysis and design are also presented.

MSC:
93B35 Sensitivity (robustness)
93C80 Frequency-response methods in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
93D09 Robust stability
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