State Observer for Linear Time-Varying Discrete Non-Lexicographically-Fixed Systems

Yasuhiko Mutoh and Tomohiro Hara


Linear Control, Digital Control, Observer, Time-Varying System, Non-Lexicographically-Fixed System


This paper concerns the state observer for linear time varying non-lexicographically-fixed discrete systems. If the system has the non-lexicographically-fixed observability indices, augmented observer is needed. The design method for augmenting the structure of the observer will be proposed, using the concept of the anti-causal dual system. A numerical example of the observer-based pole placement control is shown for the case where both of the reachability indices and the observability indices are non-lexicographically-fixed.

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