Robust anti-disturbance interval type-2 fuzzy control for interconnected nonlinear PDE systems via conjunct observer

Xiaona Song, Danjing Zheng, Shuai Song, Vladimir Stojanovic and Inés Tejado

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 227, issue C, 149-167

Abstract: This paper investigates a robust anti-disturbance interval type-2 (IT2) fuzzy control for interconnected nonlinear partial differential equation (PDE) systems subject to parameter uncertainties by the conjunct observer. First, an IT2 fuzzy model is adopted to remodel the target system. Second, a state observer with mismatched premise variables is constructed to solve the problem that the original system and the observer do not share a uniform premise variable. Moreover, a disturbance observer is designed to estimate the unknown external disturbances, which can be modeled by exogenous PDE systems. Then, utilizing the conjunct observation information, an anti-disturbance IT2 fuzzy control strategy is proposed to attenuate the effect of disturbances on the system performance while ensuring that the closed-loop system is stable. Finally, simulation results verify the effectiveness of the proposed method.

Keywords: Anti-disturbance control; Interconnected nonlinear partial differential equation systems; Interval type-2 fuzzy model; Parameter uncertainties; Conjunct observer (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:227:y:2025:i:c:p:149-167

DOI: 10.1016/j.matcom.2024.07.039

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