论文标题
具有不同参数的抛物线系统网络的合作输出调节
Cooperative output regulation for a network of parabolic systems with varying parameters
论文作者
论文摘要
本文与抛物线PDE所描述的不同动力学网络的合作输出调节问题有关，受到空间和时变参数的影响。首先，设计了一个网络控制器，为相同的有限维参考模型实现了输出同步，该模型传递了同步所需的全局参考模型的状态。后者可以受到在所有边界和要控制的抗聚解输出上作用于内域的局部干扰。通过为抛物线代理设计局部输出反馈调节器来解决合作输出调控问题。这需要解决时变调节器方程的解决方案，以及具有空间和时变系数的抛物线系统的干扰观察者的设计。为此，提供了一种系统的后退方法，并证明可以确保对所得的多代理系统确保具有指数收敛的合作输出调节。本文的结果应用于在存在局部扰动的情况下，在存在四种抛物面药物的异质网络的合作输出调节中。
This paper is concerned with the cooperative output regulation problem for a network of agents with different dynamics described by parabolic PDEs subject to spatially- and time-varying parameters. Firstly, a networked controller is designed achieving output synchronization for identical finite-dimensional reference models, which deliver the state of the global reference model required for the synchronization to the parabolic agents. The latter can be subject to local disturbances acting in-domain, on all boundaries and on the anti-collocated output to be controlled. The cooperative output regulation problem is solved by designing local output feedback regulators for the parabolic agents. This requires the solution of time-varying regulator equations and the design of disturbance observers for parabolic systems with spatially- and time-varying coefficients. For this, a systematic backstepping approach is provided and it is shown that cooperative output regulation with exponential convergence is ensured for the resulting multi-agent system. The results of the paper are applied to the cooperative output regulation of a heterogeneous network of four parabolic agents in the presence of local disturbances.
