The Extended Conic Sector Theorem
| Autor: | Leila Jasmine Bridgeman, James Richard Forbes |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Technical note 02 engineering and technology Computer Science Applications Degenerate conic 020901 industrial engineering & automation Control and Systems Engineering Conic section Control theory Stability theory 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Electrical and Electronic Engineering Robust control Computer-aided software engineering Numerical stability Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 61:1931-1937 |
| ISSN: | 1558-2523 0018-9286 |
| DOI: | 10.1109/tac.2015.2484331 |
| Popis: | Input-output stability theory is an indispensable tool in control engineering. However, classic results such as the Conic Sector Theorem, cannot be applied in some important cases. This technical note extends the original Conic Sector Theorem to apply to open-loop unstable systems and those with negative upper conic bounds and incorporates a careful treatment of degenerate conic systems and alterations accounting for nonzero initial conditions. Simulations highlight how the contributions facilitate robust control in the most challenging of circumstances. |
| Databáze: | OpenAIRE |
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