Applied sciences

Bulletin of the Polish Academy of Sciences Technical Sciences

Content

Bulletin of the Polish Academy of Sciences Technical Sciences | 2026 | 74 | 1

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Abstract

For a class of nonlinear second-order leader-follower multi-agent systems with actuator faults, an adaptive observer-based dynamic event-triggered sliding-mode fault-tolerant bipartite consensus control strategy is proposed. Firstly, an adaptive fault observer is designed. The position, velocity and actuator fault degree of the agents at the current moment are obtained. Secondly, a dynamic event-triggered mechanism is proposed to save network resources. Then, a dynamic sliding-mode face and a sliding-mode fault-tolerant bipartite consensus control strategy are given based on the output of the fault observer and the dynamic event-triggered mechanism. So that the bipartite consensus of the second-order multi-agent system can still be realized when there is an actuator fault. The conditions for the convergence of the error of fault-tolerant bipartite consensus for multi-agent systems are given. Finally, in a leader-follower multi-agent system connected by an undirected graph, the effectiveness of the designed control strategy is verified through simulations.
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Authors and Affiliations

Xingjian Fu
1
ORCID: ORCID
Dexian Xia
1
ORCID: ORCID

  1. School of Automation, Beijing Information Science and Technology University, China
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Abstract

The paper presents an investigation to find a method for assessing the intensity of extension-bending mechanical coupling in the behavior of thin plates. The analysis considers thin, simply supported square laminate plates subjected to in-plane compression. Plates with various plies stacking sequences with extension-bending coupling phenomenon were analyzed employing the finite element method software and using a developed closed-formed equation – the analytical method. The coupling intensity was quantified using two dimensionless stiffness reduction coefficients and a nondimensional anisotropic coefficient, known from literature. A reduction in the buckling load for plates with different layer arrangements, observed during nonlinear analysis, was used as a measure of coupling intensity. The results revealed that laminates with high extension-bending coupling intensity could exhibit up to 19% reduction in the buckling load. Additionally, the individual contributions of coupling intensity parameters to this reduction were identified. The validity of the proposed method was further evaluated for plates with different boundary conditions. These findings provide a foundation for predicting the behavior of mechanically coupled laminates without the need for extensive stability analysis.
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Authors and Affiliations

Monika Zaczynska
1
ORCID: ORCID
Mehdi Bohlooly Fotovat
1
ORCID: ORCID
Zuzanna Kaluzna
1

  1. Lodz University of Technology, Faculty of Mechanical Engineering, Department of Strength of Materials, Poland

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