Observer-based positive consensus of fractional-order multiagent systems

CAI Yuhang; ZHANG Wei; HU Zhi; ZHANG Pengyu

doi:10.12299/jsues.24-0023

Volume 39 Issue 1

May 2025

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CAI Yuhang, ZHANG Wei, HU Zhi, ZHANG Pengyu. Observer-based positive consensus of fractional-order multiagent systems[J]. Journal of Shanghai University of Engineering Science, 2025, 39(1): 21-27, 36. doi: 10.12299/jsues.24-0023

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CAI Yuhang, ZHANG Wei, HU Zhi, ZHANG Pengyu. Observer-based positive consensus of fractional-order multiagent systems[J]. Journal of Shanghai University of Engineering Science, 2025, 39(1): 21-27, 36. doi: 10.12299/jsues.24-0023

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Observer-based positive consensus of fractional-order multiagent systems

doi: 10.12299/jsues.24-0023

CAI Yuhang^a
,,
ZHANG Wei^{b
,
,},
HU Zhi^b,
ZHANG Pengyu^a

a.
Shanghai University of Engineering Science, a. School of Mechanical and Automotive Engineering; b. Laboratory of Intelligent Control and Robotics, Shanghai 201620, China
b.
Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2024-01-21
Publish Date: 2025-05-19

Abstract

Abstract

Compared with integer-order systems, fractional-order systems can better characterize atypical and nonlinear dynamic behaviors, and making them more suitable for describing complex control systems with memory. The observer-based positive consensus problem of fractional-order multiagent systems (FOMAS) was investigated. First, a Luenberger observer was employed to estimate the systems state. By leveraging positive system theory, a sufficient and necessary condition for the positive consensus of FOMAS was obtained. To reduce conservatism, this condition was further optimized through the bounds of improved Laplacian matrix eigenvalues. A less conservative sufficient condition of Riccati inequality type was then established, incorporating the number of nodes in the directed network. Subsequently, by solving the algebraic Riccati inequality, the positive consensus semidfinite programming algorithm for the observer-based FOMAS was presented. Finally, the validity of the obtained results was verified by numerical simulation.
- fractional-order multiagent systems (FOMAS),
- observer-type protocol,
- directed spanning tree,
- positive consensus

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References(29)

References

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