论文标题
控制不确定的PWA系统，使用凸差分解
Control of Uncertain PWA Systems using Difference-of-Convex Decompositions
论文作者
论文摘要
在本报告中，我们分析和设计反馈策略，用于离散时间分段植入（PWA）系统，其仿射动力学和多重分区都有不确定性。主要思想是利用连续PWA系统的Convex（DC）分解来推导二次Lyapunov作为稳定证书的功能，并在更高的维空间中稳定仿期策略。当投射回状态空间时，我们获得了随时间变化的PWQ Lyapunov功能和随时间变化的PWA反馈策略。
In this report, we analyze and design feedback policies for discrete-time Piecewise-Affine (PWA) systems with uncertainty in both the affine dynamics and the polytopic partition. The main idea is to utilise the Difference-of-Convex (DC) decomposition of continuous PWA systems to derive quadratic Lyapunov functions as stability certificates and stabilizing affine policies in a higher dimensional space. When projected back to the state space, we obtain time-varying PWQ Lyapunov functions and time-varying PWA feedback policies.
