Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: An adaptive observer design approach for a class of discrete-time nonlinear systems
Creator:
Srinivasarengan, Krishnan ; Ragot, José ; Aubrun, Christophe ; Maquin, Didier
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Abstract:
We consider the problem of joint estimation of states and some constant parameters for a class of nonlinear discrete-time systems. This class contains systems that could be transformed into a quasi-LPV (linear parameter varying) polytopic model in the Takagi-Sugeno (T-S) form. Such systems could have unmeasured premise variables, a case usually overlooked in the observer design literature. We assert that, for such systems in discrete-time, the current literature lacks design strategies for joint state and parameter estimation. To this end, we adapt the existing literature on continuous-time linear systems for joint state and time-varying parameter estimation. ; We first develop the discrete-time version of this result for linear systems. A Lyapunov approach is used to illustrate stability, and bounds for the estimation error are obtained via the bounded real lemma. We use this result to achieve our objective for a design procedure for a class of nonlinear systems with constant parameters. This results in less conservative conditions and a simplified design procedure. A basic waste water treatment plant simulation example is discussed to illustrate the design procedure.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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DOI:
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Source:
AMCS, volume 28, number 1 (2018) ; click here to follow the link
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License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2018)
Last modified:
Jul 14, 2025
In our library since:
Jul 7, 2025
Number of object content hits:
16
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100732
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 1 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 2 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 3 (2018)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 28, number 4 (2018)
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| Edition name | Date |
|---|---|
| An adaptive observer design approach for a class of discrete-time nonlinear systems | Jul 14, 2025 |
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