Abstract

In this article, the distributed output-feedback adaptive fuzzy leader-following consensus is investigated for a class of high-order stochastic nonlinear multiagent systems (MASs) with unknown control gains and uncertain interactions from other agents. First, a novel dynamic gain filter is constructed to compensate unmeasured states and compared with the existing results, the number of dynamic variables is greatly reduced. Then, the tuning function method is used to construct adaptive laws to compensate unknown parameters. The uncertain interaction functions are decomposed and approximated by the fuzzy logic systems. Next, using the backstepping method, the dynamic gain filter-based distributed adaptive fuzzy leader-following protocol is designed, which only needs the dynamic variables’ information of neighbors, and the problem on computing the mutually dependent inputs in some existing results is completely avoided. Finally, the numerical simulation results are given to illustrate the effectiveness of the proposed method.

Highlights

  • L EADER-FOLLOWING consensus as one of the synchronization control problems of multiagent systems (MASs) has attracted many researchers’ attention due to its potential application value [1]–[4] and the references therein, where there is usually a signal generator as the leader via the communication graph all the other agents receive the neighbors’ information to achieve synchronization

  • Via the communication graph and using the neighbors’ states information, many distributed state-feedback control protocols are proposed in the existing literature [10]–[20], where combined with the techniques, such as adaptive control [10], backstepping technique [11], finite-time control [12], [13], dynamic surface control [14], fuzzy logic systems (FLSs) [15], neural networks [16], [17], and so on, many distributed control problems on the nonlinear MASs have been addressed

  • Lemma 4 is used to decompose the uncertain interactions, which will be approximated by the FLSs

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Summary

INTRODUCTION

L EADER-FOLLOWING consensus as one of the synchronization control problems of multiagent systems (MASs) has attracted many researchers’ attention due to its potential application value [1]–[4] and the references therein, where there is usually a signal generator as the leader via the communication graph all the other agents (followers) receive the neighbors’ information to achieve synchronization . Via the communication graph and using the neighbors’ states information, many distributed state-feedback control protocols are proposed in the existing literature [10]–[20], where combined with the techniques, such as adaptive control [10], backstepping technique [11], finite-time control [12], [13], dynamic surface control [14], fuzzy logic systems (FLSs) [15], neural networks [16], [17], and so on, many distributed control problems on the nonlinear MASs have been addressed. Inspired by the aforementioned introductions, this article investigates the distributed output-feedback adaptive fuzzy leader-following control for a class of stochastic nonlinear. 2) Design the dynamic gain filter-based distributed outputfeedback adaptive fuzzy protocol for the stochastic nonlinear MASs (1) to achieve the leader-following consensus. Combined with the dynamic surface control method [14] or the hierarchical decomposition method [26], the results of this article can be extended to the directed graph case, and at the same time, other restrictions will be required

Graph Theory and Notations
Fuzzy Logic Systems
DISTRIBUTED LEADER-FOLLOWING CONSENSUS
Distributed Output-Feedback Adaptive Fuzzy Leader-Following Controller Design
NUMERICAL EXAMPLE
CONCLUSION
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