Containment Control of Linear Multiagent Systems With Aperiodic Sampling and Measurement Size Reduction
Containment Control of Linear Multiagent Systems With Aperiodic Sampling and Measurement Size Reduction
复制标题
具有非周期采样和测量尺寸缩减的线性多智能体系统的遏制控制
DOI：
10.1109/tnnls.2017.2784365
复制
发表时间：
2018-01
影响因子：
10.4
通讯作者：
Yu Li
中科院分区：
文献类型：
--
作者：
Zhang Dan;Shi Peng;Yu Li
研究了一般线性多智能体系统在非周期采样和测量缩减下的包容控制问题。在假设采样间隔从有限集变化的情况下，提出了一种改进的协议，使得可以获得更大的采样间隔来实现包容。利用拉普拉斯矩阵的性质和新开发的协议，包容控制问题转化为离散时间切换线性系统的稳定性问题。得到了所有从节点收敛于由领导节点所形成的凸船体的充分条件，并将该充分条件用线性矩阵不等式的形式给出，该不等式与网络的节点无关.为了进一步减少代理之间的通信，引入了一种切换型测量大小缩减方案。提出了相应的控制器设计的优化问题。最后，两个仿真研究进行了显示所提出的控制算法的有效性和优势。
The containment control problem for generally linear multiagent systems with aperiodic sampling intervals and measurement size reduction is considered in this paper. Under the assumption that the sampling interval changes from a finite set, an improved protocol is proposed, such that a larger sampling interval can be obtained to achieve containment. By using the properties of Laplacian matrix and the newly developed protocol, the containment control problem is transformed into the stability problem of a discrete-time switched linear system. A sufficient condition is obtained that ensures all the followers converge to the convex hull formed by the state of leaders, and such a sufficient condition is presented in terms of linear matrix inequalities, which are independent of the node of network. To further reduce the communication among agents, a switching-type measurement size reduction scheme is introduced. An optimization problem is proposed for the corresponding controller design. Finally, two simulation studies are conducted to show the effectiveness and advantage of the proposed control algorithms.
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