Reduced‐order observer design for one‐sided Lipschitz time‐delay systems subject to unknown inputs
| Autor: | Hieu Trinh, Minh Cuong Nguyen |
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| Rok vydání: | 2016 |
| Předmět: |
Quadratic growth
0209 industrial biotechnology Class (set theory) Control and Optimization Observer (quantum physics) 02 engineering and technology Lipschitz continuity Computer Science Applications Human-Computer Interaction Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering Control theory Subject (grammar) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Enhanced Data Rates for GSM Evolution Electrical and Electronic Engineering Jensen's inequality Mathematics |
| Zdroj: | IET Control Theory & Applications. 10:1097-1105 |
| ISSN: | 1751-8652 |
| Popis: | This study addresses the observer design problem for a class of one-sided Lipschitz time-delay systems in the presence of unknown inputs. The non-linearities are assumed to satisfy the one-sided Lipschitz and quadratically inner-bounded conditions; hence, a wider class of non-linear systems is investigated in this work. A novel approach for the non-linear observer design problem subject to time delays and disturbances is proposed. Both H ∞ observer design and asymptotic observer design with reduced-order are introduced. To deal with the time-delay issue, Wirtinger-based integral inequality, which encompasses the Jensen inequality, is employed to derive less conservative synthesis conditions in linear matrix inequalities form. Two numerical examples are given to illustrate the effectiveness and the edge of the authors' results over other relevant works in the literature. |
| Databáze: | OpenAIRE |
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