An Input–Output Approach to Anti-windup Design for Sampled-Data Systems with Time-Varying Delay
| Autor: | Fatima El Haoussi, Fernando Tadeo, Ouarda Lamrabet, Khadija Naamane, El Houssaine Tissir |
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| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Optimization algorithm Computer science Applied Mathematics 02 engineering and technology Linear matrix Actuator saturation Small-gain theorem 020901 industrial engineering & automation Control theory Norm (mathematics) Signal Processing Anti windup Sampled data systems |
| Zdroj: | Circuits, Systems, and Signal Processing. 39:4868-4889 |
| ISSN: | 1531-5878 0278-081X |
| DOI: | 10.1007/s00034-020-01414-w |
| Popis: | A methodology for designing anti-windup compensators is investigated, for sampled-data systems with delays and actuator saturation. More precisely, criteria for the existence of an anti-windup compensator that ensure simultaneously stability and an $$H_{\infty }$$ norm bound in closed-loop are developed, thanks to the use of a three-term approximation of the delays, of the scaled small gain theorem, and of a Wirtinger-based inequality. The criteria are in the form of a set of linear matrix inequalities: an optimization algorithm is proposed to maximize the estimated domain of attraction that can be easily implemented. Some simulation examples are also provided to demonstrate the superiority of the proposed approach. |
| Databáze: | OpenAIRE |
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