论文标题
设置操作和降低限制的界限
Set operations and order reductions for constrained zonotopes
论文作者
论文摘要
本文介绍了使用分子型和受约束地位的方法来改善控制理论中常用的各种基于设定的操作的实用性。所提出的方法扩展了使用受约束的地位型的使用来表示由Halfspace交叉点，凸面船体，稳健阳性不变的集合和Pontryagin差异在内的操作产生的集合。还提出了降低降低技术，该技术提供了较低复杂性的内部和界限的内在构想和受约束的划界。数值示例用于证明使用基于Zonotope的集合表示进行动态系统分析和控制的功效和计算优势。
This paper presents methods for using zonotopes and constrained zonotopes to improve the practicality of a wide variety of set-based operations commonly used in control theory. The proposed methods extend the use of constrained zonotopes to represent sets resulting from operations including halfspace intersections, convex hulls, robust positively invariant sets, and Pontryagin differences. Order reduction techniques are also presented that provide lower-complexity inner-approximations of zonotopes and constrained zonotopes. Numerical examples are used to demonstrate the efficacy and computational advantages of using zonotope-based set representations for dynamic system analysis and control.
