Proportional integral observer-based input–output finite-time stabilization for chaotic semi-Markov jump fuzzy systems

R. Abinandhitha, S. Monisha, R. Sakthivel, R. Manikandan and S. Saat

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: The goal of this article is to discuss the input–output finite-time (IO-FT) stabilization and state estimation problem for T-S fuzzy chaotic semi-Markov jump systems (TSFCS-MJSs) with uncertain transition rates, immeasurable states, quantization errors, gain fluctuations and external input signals by using quantized resilient proportional integral (PI) observer-based control. Precisely, to estimate the immeasurable states of the underlying TSFCS-MJSs, a mode-dependent fuzzy rule-based PI observer is implemented, wherein the inclusion of both proportional and integral loops provides more design freedom and finer steady-state accuracy. Additionally, the gain fluctuations that occur during the implementation of the addressed PI observer are taken into account and therefore, we focus on the design of resilient PI observer that provides satisfactory estimation results. Besides, by reason of the restricted capacity of the data transmission medium, the input signals are quantized prior to transmission. Following that, sufficient criteria are attained in the framework of linear matrix inequalities with the use of a mode-dependent Lyapunov function candidate can guarantee the resulting closed-loop system’s IO-FT stability. Thereafter, by solving the established linear matrix inequality-based criteria, the desired gain matrices of the controller and observer are computed. Finally, the simulation outcomes for standard Chua’s circuit system are displayed in accordance with the theoretical findings.

Keywords: T-S fuzzy chaotic semi-Markov jump systems; Proportional integral observer; Input–output finite-time stabilization; Resilient control; Input quantization (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922012048
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012048

DOI: 10.1016/j.chaos.2022.113025

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().