Necessary and sufficient conditions for the decoupting of singular systems using P-D (proportional derivative) feedback are determined. Given a system which satisfies these conditions, the class of all feedback matrices which decouple the system is characterized. This class is used to determine the
Geometric design techniques for observers in singular systems
โ Scribed by F.L. Lewis
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 433 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
We present geometric design techniques for observer design in generalized state-space or singular systems. The unknown-input-conditioned invariant subspaces are defined for singular systems, and are related to the solution of a generalized Lyapunov equation. The approach emphasizes solution procedures based on the Lyapunov equation and a singular system structure algorithm. This paper extends the singular system observer theory both by providing a geometric basis for it and showing the best that may be accomplished if the system is not observable.
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