Distributed Adaptive Controller for Output-Synchronization of Networked Strict Feedback Systems with Dead-Zone Nonlinearity with Application in the Voltage Equalization Control of Ultra-Capacitor Type Power Source

Liming Zhang, Miao Yu
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Abstract

In this paper, distributed robust adaptive backstepping control algorithm is developed for the output synchronization of multiple strict feedback systems with dead-zone nonlinearity. No knowledge could be assumed on the dead-zone for the design and implementation of controller and also the unknown system parameters. By combining graph theory with backstepping method, a distributed controller is designed for each agent recursively in order to make its output synchronized with the output of its neighbors, meanwhile, the overall system maintains bounded. It is proven that the output of all agents in the network could be synchronized when we connects the undirected graph, i.e., cooperative output synchronization of the network can be realized. The voltage equalization control of ultra-capacitor is presented as a numerical example to prove the effectiveness of the proposed controllers.
具有死区非线性的网络严格反馈系统输出同步的分布式自适应控制器及其在超电容型电源电压均衡控制中的应用
针对具有死区非线性的多严格反馈系统的输出同步问题,提出了一种分布式鲁棒自适应反演控制算法。对于控制器的设计和实现以及未知的系统参数,死区是未知的。将图论与回溯法相结合,递归地为每个agent设计分布式控制器,使其输出与相邻agent的输出同步,同时使整个系统保持有界。证明了当我们连接无向图时,网络中所有agent的输出是可以同步的,即可以实现网络的协同输出同步。最后以超级电容器的电压均衡控制为例,验证了所提控制器的有效性。
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