Journal
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
Volume 9, Issue 1, Pages 62-74Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2022.3141690
Keywords
Distributed observer; fuzzy small-gain theorem; output-Lagrange input-to-output stability (OL-IOS); Takagi-Sugeno (T-S) fuzzy multiagent systems
Funding
- National Natural Science Foundation of China [61673099, U1911401, 61633007]
- China Scholarship Council
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This article presents a composite fuzzy distributed control law to solve a cooperative control problem of fuzzy multiagent systems with a nonlinear leader system based on the distributed observer. The contributions of this article are three-fold. First, the small-gain theorem is extended to fuzzy systems, and input-to-output stability (IOS) and output-Lagrange input-to-output stability (OL-IOS) fuzzy small-gain theorem are proposed for fuzzy systems. Second, the OL-IOS small-gain theorem of fuzzy systems with multiple loop is given. Third, based on fuzzy small-gain theorem, the fuzzy distributed control law is composed of a purely fuzzy distributed control law and a distributed observer for the leader system.
This article presents a composite fuzzy distributed control law to solve a cooperative control problem of fuzzy multiagent systems with a nonlinear leader system based on the distributed observer. The contributions of this article are three-fold. First, the small-gain theorem is extended to fuzzy systems, and input-to-output stability (IOS) and output-Lagrange input-to-output stability (OL-IOS) fuzzy small-gain theorem are proposed for fuzzy systems. Second, the OL-IOS small-gain theorem of fuzzy systems with multiple loop is given. Third, based on fuzzy small-gain theorem, the fuzzy distributed control law is composed of a purely fuzzy distributed control law and a distributed observer for the leader system. Finally, the effectiveness of the proposed method is illustrated by using a numerical example and the leader-following consensus problem of the quadrotor.
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