论文标题

合作输出反馈跟踪随机线性异质多机构系统的控制

Cooperative output feedback tracking control of stochastic linear heterogeneous multi-agent systems

论文作者

Li, Dianqiang, Li, Tao

论文摘要

我们研究了随机线性异质领导者遵循多代理系统的合作输出反馈跟踪控制。每个代理都有一个连续的时间线性异质动力学,具有不可测量的状态,并且在代理之间存在加性和乘法噪声以及信息交换。我们提出了一组可接受的分布式观察策略,以估计领导者和追随者的州,以及基于确定性等价原则的一组可接受的合作输出反馈控制策略。通过输出调节理论和随机分析,我们表明,如果可观察到的领导者的动态以及可稳定和可检测到的追随者的动态,如果乘法噪声的强度系数乘以领导者不稳定模式的真实部分的总和,那么在那儿不稳定模式的最低效果均不超过1/4,然后在那里均超过1/4,然后在那里均不超过图形的效果,并均衡阶段的效果,并均等阶段,均值阶段的效果分配了效果。有限的输出跟踪,只要可以解决相关的输出调节方程。最后,数值模拟证明了我们的控制策略的有效性。

We study cooperative output feedback tracking control of stochastic linear heterogeneous leader-following multi-agent systems. Each agent has a continuous-time linear heterogeneous dynamics with incompletely measurable state, and there are additive and multiplicative noises along with information exchange among agents. We propose a set of admissible distributed observation strategies for estimating the leader's and the followers' states, and a set of admissible cooperative output feedback control strategies based on the certainty equivalence principle. By output regulation theory and stochastic analysis, we show that for observable leader's dynamics and stabilizable and detectable followers' dynamics, if the intensity coefficient of multiplicative noises multiplied by the sum of real parts of the leader' s unstable modes is less than 1/4 of the minimum non-zero eigenvalue of graph Laplacian, then there exist admissible distributed observation and cooperative control strategies to ensure mean square bounded output tracking, provided the associated output regulation equations are solvable. Finally, the effectiveness of our control strategies is demonstrated by a numerical simulation.

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