Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: BIBO stabilisation of continuous-time Takagi?Sugeno systems under persistent perturbations and input saturation
Creator:
Salcedo, José V. ; Martínez, Miguél ; García-Nieto, Sergio ; Hilario, Adolfo
Date:
Resource Type:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Abstract:
This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations. It is assumed that all the states of the Takagi-Sugeno (TS) fuzzy model representing a non-linear system are measurable. Such controllers achieve bounded input bounded output (BIBO) stabilisation in closed loop based on the computation of inescapable ellipsoids. These ellipsoids are computed with linear matrix inequalities (LMIs) that guarantee stabilisation with input saturation and persistent perturbations. ; In particular, two kinds of inescapable ellipsoids are computed when solving a multiobjective optimization problem: the maximum volume inescapable ellipsoids contained inside the validity domain of the TS fuzzy model and the smallest inescapable ellipsoids which guarantee a minimum *-norm (upper bound of the 1-norm) of the perturbed system. For every initial point contained in the maximum volume ellipsoid, the closed loop will enter the minimum *-norm ellipsoid after a finite time, and it will remain inside afterwards. Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 28, number 3 (2018) ; click here to follow the link
Language:
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 8, 2025
Number of object content hits:
17
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100845
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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 |
|---|---|
| BIBO stabilisation of continuous-time Takagi?Sugeno systems under persistent perturbations and input saturation | Jul 14, 2025 |
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