Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: T-S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
Creator:
Salcedo, José V. ; Martínez, Miguél ; García-Nieto, Sergio ; Hilario, Adolfo
Date:
Resource Type:
Contributor:
Kołodziej, Joanna - ed. ; Pllana, Sabri - ed. ; Vitabile , Salvatore - ed.
Subtitle:
Group publication title:
Abstract:
This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi-Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum *-norm (upper bound of the 1-norm) for the T-S fuzzy system under persistent perturbations. ; The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 30, number 3 (2020) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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) (2020)
Last modified:
17 lip 2025
In our library since:
17 lip 2025
Number of object content hits:
9
All available object's versions:
https://zbc.uz.zgora.pl/publication/101238
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 1 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 2 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 3 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 4 (2020)
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