Abstract
This paper shows that an observer Σob(Â, [Bcirc], Ĉ, [Dcirc], ˆJ) for a linear function Kx of the state of a time-invariant linear system Σ(A., B, C) is characterized by a new system ΣOB(Â, [Bcirc], Ĉ, [Dcirc]) with the initial state Ĵ which receives Markov parameters (CAtB)t =0, … +μ−1as the input and gives (KAtB)t=, v+μ−1as the output, where v is the controllability index of (A, B) and;μ is the observability index of (Â, Ĉ), It admits that the observer is constructed by a realization of σOB(Â, [Bcirc], Ĉ, [Dcirc]) from the input-output data and a determination of the initial state Ĵ. An algorithm is presented to construct the lower order observer with arbitrarihy assigned poles in a canonical form.
Original language | English |
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Pages (from-to) | 457-469 |
Number of pages | 13 |
Journal | International Journal of Control |
Volume | 29 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jan 1 1979 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications