<i>H</i>_∞ control of continuous-time Markov jump linear systems with detector-based mode information^†

This paper features new results on <i>H</i>_∞ analysis and control of linear systems with Markov jump disturbances, in a scenario of partial observations of the jump process. We consider the situations in which the jump process can only be measured through a suitable <i>detector</i>. A distinctive feature of the approach here is that it is general enough to encompass particular scenarios such as that of perfect information, no information (mode independent) and cluster observations of the Markov jump process. The main results, comprising a new bounded real lemma and a condition for state feedback synthesis, are expressed via linear matrix inequality-based optimisation problems. The method devised for the design of <i>H</i>_∞ controllers is applied to the control of an unmanned aerial vehicle model.本文针对含马尔可夫跳变扰动的线性系统，在跳变过程仅能实现部分观测的场景下，针对H∞分析与控制问题展开研究并取得全新成果。本文考虑跳变过程仅能通过适配检测器进行观测的情形。本研究方法的显著特色在于其具备足够通用性，可涵盖马尔可夫跳变过程的完全信息、无信息（与模态无关）以及聚类观测等多种特定场景。本文的主要研究成果包含全新的有界实引理以及状态反馈综合条件，均通过基于线性矩阵不等式的优化问题进行表述。本文所提出的H∞控制器设计方法被应用于无人机模型的控制任务中。

搜集汇总

背景与挑战

背景概述

该数据集是2016年发表的关于连续时间马尔可夫跳变线性系统H∞控制的论文补充材料，研究在部分观测场景下基于检测器的模式信息控制方法，并应用于无人机模型。数据包含多个样式文件和文档，总大小约310.56 kB，使用开放许可（CC BY 4.0），涉及随机跳变过程、H∞控制等关键词。