Automatica ( IF 6.4 ) Pub Date : 2020-06-08 , DOI: 10.1016/j.automatica.2020.109064 Xiangru Xu , Necmiye Ozay , Vijay Gupta
This paper studies the performance of a continuous controller when implemented on digital devices via sampling and quantization, by leveraging passivity analysis. Degradation of passivity indices from a continuous-time control system to its sampled, input and output quantized model is studied using a notion of quasi-passivity. Based on that, the passivity property of a feedback-connected system where the continuous controller is replaced by its sampled and quantized model is studied, and conditions that ensure the state boundedness of the interconnected system are provided. Additionally, the approximate bisimulation-based control implementation where the controller is replaced by its approximate bisimilar symbolic model whose states are also quantized is analyzed. Several examples are provided to illustrate the theoretical results.
中文翻译:
基于被动分析的采样和量化控制实现
本文通过利用无源分析,研究了在数字设备上通过采样和量化实现连续控制器时的性能。使用准无源性的概念研究了无源性指标从连续时间控制系统到其采样,输入和输出量化模型的退化。在此基础上,研究了将反馈控制器的采样量化模型替换为连续控制器的反馈连接系统的无源特性,并提供了确保互连系统状态有界的条件。此外,分析了基于近似双仿真的控制实现,其中控制器被其状态也被量化的近似双相似符号模型代替。提供了几个例子来说明理论结果。