Synthesizing Asymptotic Observers for Hyperoutput Systems with Uncertainty upon Transfer Matrix Degeneracy
| Autor: | A. V. Kraev, S. Z. Tevdoradze, V. V. Fomichev |
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| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Observer (quantum physics) Rank (linear algebra) 010102 general mathematics Linear system Order (ring theory) 02 engineering and technology 01 natural sciences Transfer matrix Human-Computer Interaction Computational Mathematics Matrix (mathematics) 020901 industrial engineering & automation Applied mathematics 0101 mathematics Degeneracy (mathematics) Mathematics |
| Zdroj: | Moscow University Computational Mathematics and Cybernetics. 44:44-52 |
| ISSN: | 1934-8428 0278-6419 |
| DOI: | 10.3103/s0278641919040058 |
| Popis: | The problem of synthesizing an asymptotic observer for a linear system with $$l$$ measurable outputs $$y=Cx$$ and $$m$$ unknown inputs $$f(t)$$ acting on the system through the matrix $$D$$ is considered. A case of hyperoutput systems is examined; such systems have output dimensions larger than that of an unknown input ($$l>m$$). Ways of constructing observers are well-known for such systems when matrix $$CD$$ (the transfer matrix from input $$f(t)$$ to output $$y(t)$$) is of full rank. The case $$\textrm{rank}(CD) |
| Databáze: | OpenAIRE |
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