Design on Type-2 Fuzzy-Based Distributed Supervisory Control With Backlash-Like Hysteresis

In this article, the distributed synchronization control problem is investigated for a class of uncertain nonlinear leader-following systems on directed graph, where unknown backlash-like hysteresis exists in the actuator of each follower and the topology of the graph is fixed. Based on basic graph...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2021-02, Vol.29 (2), p.252-261
Main Authors: Shen, Qikun, Shi, Yan, Jia, Renfu, Shi, Peng
Format: Article
Language:English
Subjects:
Actuators
Adaptive control
Approximation
Approximation error
Control methods
Design methodology
Design techniques
distributed control
Fuzzy control
Fuzzy logic
Fuzzy sets
Fuzzy systems
Graph theory
Hysteresis
leader-following systems (LFSs)
Mathematical analysis
Nonlinear systems
Supervisory control
Synchronism
Synchronization
Topology
Variable structure control
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Summary:In this article, the distributed synchronization control problem is investigated for a class of uncertain nonlinear leader-following systems on directed graph, where unknown backlash-like hysteresis exists in the actuator of each follower and the topology of the graph is fixed. Based on basic graph theory, the principle of variable structure control and Lyapunov theory, by using the unknown smooth function approximation capability of type-2 fuzzy logic systems, a new distributed adaptive supervisory control design method is proposed such that all followers asymptotically synchronize to the leader and each synchronizing error is bounded. In the control method, with the help of supervisor control strategy, it is guaranteed that the resulting closed-loop signals including system states, respectively, belong to the corresponding compact sets, which is necessary for fuzzy approximation theory because it is on a compact set that an unknown smooth function can be approximated by fuzzy logic system. Furthermore, the adaptive compensation terms of the optimal approximation errors are adopted to reduce the effects of modeling errors. Finally, simulation results demonstrate the effectiveness of the proposed new design method.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2020.2992864