多输出非线性系统在数据截断协议下的 时滞多采样率输出反馈镇定

本文研究一类多输出非线性系统基于一类数据截断协议的时滞多采样率输出反馈控制. 所考虑的非线性 系统的输出以异步方式进行采集, 通过网络传输到输出反馈控制端后立即用于构造输出反馈控制器. 当控制输入 信号可用时, 立即用来更新被控制系统. 这样, 就存在两种传输时滞, 一种是非线性系统输出端到输出反馈控制器端 的传输时滞, 另一种是输出反馈控制器端到非线性系统输入端的传输时滞. 从而被控系统的更新和输出反馈控制 器的更新不在同一个时间区间. 利用区间分解, 可以在同一个区间考虑被控系统和输出反馈控制器并分析闭环系 统的稳定性. 最后, 一个算例用来验证所提方法的有效性.

Multi-rate sampled and delayed output feedback stabilization for multi-output nonlinear systems under data truncation protocol

Multi-rate sampled and delayed output feedback control law is presented for a class of multi-output nonlinear systems under a kind of data truncation protocol. The system outputs are sampled in a fully asynchronous way, transmitted through communication network, and used to construct the output feedback stabilizer immediately when they are available. The nonlinear system is updated by the system inputs once they are available. There exist two kinds of transmission delays, i.e., transmission delays from the nonlinear system to the output feedback stabilizer, and transmission delays from the output feedback stabilizer to the nonlinear system. Therefore, the output feedback stabilizer and the nonlinear system are updated at different time instants. Based on interval decomposition, we put the output feedback stabilizer and the nonlinear system on the same interval to analyze stability of the closed-loop system. An example is provided to illustrate the efficiency of the proposed methods.