Observer Design for One-Sided Lipschitz Discrete-Time Systems Subject to Delays and Unknown Inputs
| Autor: | Hieu Trinh, Minh Cuong Nguyen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Quadratic growth
0209 industrial biotechnology Control and Optimization Observer (quantum physics) Applied Mathematics Linear matrix inequality Bilinear interpolation Order (ring theory) 0102 computer and information sciences 02 engineering and technology Lipschitz continuity 01 natural sciences Nonlinear system 020901 industrial engineering & automation Discrete time and continuous time 010201 computation theory & mathematics Control theory Mathematics |
| Zdroj: | SIAM Journal on Control and Optimization. 54:1585-1601 |
| ISSN: | 1095-7138 0363-0129 |
| DOI: | 10.1137/15m1030182 |
| Popis: | In this paper, we address the problem of observer design for a class of nonlinear discrete-time systems in the presence of delays and unknown inputs. The nonlinearities studied in this work satisfy the one-sided Lipschitz and quadratically inner-bounded conditions which are more general than the traditional Lipschitz conditions. Both $\mathcal{H}_{\infty}$ observer design and asymptotic observer design with reduced-order are considered. The designs are novel compared to other relevant nonlinear observer designs subject to time delays and disturbances in the literature. In order to deal with the time-delay issue as well as the bilinear terms which usually appear in the problem of designing observers for discrete-time systems, several mathematical techniques are utilized to deduce observer synthesis conditions in the linear matrix inequalities form. A numerical example is given to demonstrate the effectiveness and high performance of our results. |
| Databáze: | OpenAIRE |
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