Asynchronous Lebesgue Approximation Model for Distributed Continuous-Time Nonlinear Systems
Asynchronous Lebesgue Approximation Model for Distributed Continuous-Time Nonlinear Systems
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DOI：
10.1109/cdc.2018.8619331
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
Ying Shen;Xiaofeng Wang;Zhengguang Wu
中科院分区：
文献类型：
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作者：
Ying Shen;Xiaofeng Wang;Zhengguang Wu
在基于模型的方法中，一个合适的近似模型可以显著降低计算成本。本文的目的是建立离散时间模型来近似分布式连续时间非线性动态系统，其中的子系统是物理耦合的，并且可以从相邻的子系统接收信息。为了逼近这样一个系统，我们提出了异步勒贝格近似方法，其中每个子系统由一个单独的勒贝格近似模型(LAM)来逼近。每个LAM根据其自身状态以及相邻状态更新其状态。不同的LAM异步执行。该分布式LAM算法能够根据状态的变化自动调整迭代频率，具有较高的性价比。为了证明分布式LAM的稳定性，我们构造了一个分布式事件触发反馈系统，并证明了它与线性内插的LAM产生相同的状态轨迹。通过这个具体的分布式事件触发系统，我们证明了分布式LAM是一致最终有界的。最后，通过对一个非线性系统的仿真，验证了该方法的有效性。
An appropriate approximation model can significantly reduce the computational costs in model-based approaches. This paper aims to develop discrete-time models to approximate distributed continuous-time nonlinear dynamical systems, in which subsystems are physically coupled and can receive information from their neighbors. To approximate such a system, we present asynchronous Lebesgue approximation approach, where each subsystem is approximated by an individual Lebesgue approximation model (LAM). Each LAM updates its state, depending on its own state as well as the neighboring states. Different LAMs execute asynchronously. The proposed distributed LAM is cost-efficient because it can automatically adjust its iteration frequency based on state's variation. To show stability of the distributed LAM, we construct a distributed event-triggered feedback system and prove that it generates the same state trajectories as the LAM with linear interpolation. Through this specific distributed event-triggered system, we show that the distributed LAM is uniformly ultimately bounded. Finally, we carry out some simulations on a nonlinear system to show the efficiency of the proposed method.