$H_{\infty}$ Consensus and Synchronization of Nonlinear Systems Based on A Novel Fuzzy Model
$H_{\infty}$ Consensus and Synchronization of Nonlinear Systems Based on A Novel Fuzzy Model
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DOI：
10.1109/tcyb.2013.2242197
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发表时间：
2013-12
影响因子：
11.8
通讯作者：
Yan Zhao;Bing Li;Jiahu Qin;Huijun Gao;H. Karimi
中科院分区：
文献类型：
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作者：
Yan Zhao;Bing Li;Jiahu Qin;Huijun Gao;H. Karimi
研究了任意拓扑结构下非线性多智能体系统的H∞一致性控制问题.提出了一种新的Takagi-Sukeno（T-S）模糊建模方法来描述非线性跟随代理逼近时变领导者的问题，即，跟随Agent和领导Agent之间的误差动力学是一组T-S模糊模型，其动力学是根据一个孤立的非受迫非线性Agent模型演化的。在此基础上，设计了一种领导者-跟随一致性算法，使得在任意网络拓扑结构下，所有跟随者在受到外部干扰的情况下都能与领导者达成一致，并保持H∞性能水平.此外，我们得到了一个充分条件，选择钉扎节点，使整个多智能体网络达成共识。将模糊建模方法推广到非线性系统的同步问题，设计了模糊H∞控制器，使两个非线性系统在给定的H∞性能水平下达到同步。利用所提出的模糊建模方法，大大简化了控制器的设计过程。最后，通过对混沌系统和任意非线性函数的数值仿真，验证了所得理论结果的有效性。
This paper investigates the H∞ consensus control problem of nonlinear multiagent systems under an arbitrary topological structure. A novel Takagi-Sukeno (T-S) fuzzy modeling method is proposed to describe the problem of nonlinear follower agents approaching a time-varying leader, i.e., the error dynamics between the follower agents and the leader, whose dynamics is evolving according to an isolated unforced nonlinear agent model, is described as a set of T-S fuzzy models. Based on the model, a leader-following consensus algorithm is designed so that, under an arbitrary network topology, all the follower agents reach consensus with the leader subject to external disturbances, preserving a guaranteed H∞ performance level. In addition, we obtain a sufficient condition for choosing the pinned nodes to make the entire multiagent network reach consensus. Moreover, the fuzzy modeling method is extended to solve the synchronization problem of nonlinear systems, and a fuzzy H∞ controller is designed so that two nonlinear systems reach synchronization with a prescribed H∞ performance level. The controller design procedure is greatly simplified by utilization of the proposed fuzzy modeling method. Finally, numerical simulations on chaotic systems and arbitrary nonlinear functions are provided to illustrate the effectiveness of the obtained theoretical results.