Computing Robust Controlled Invariant Sets of Linear Systems
Computing Robust Controlled Invariant Sets of Linear Systems
复制标题
计算线性系统的鲁棒受控不变集
DOI：
10.1109/tac.2017.2672859
复制
发表时间：
2016
影响因子：
6.8
通讯作者：
P. Tabuada
中科院分区：
文献类型：
--
作者：
M. Rungger;P. Tabuada
本文考虑了具有有界扰动的线性离散时间可控系统，提出了两种计算鲁棒控制不变集的方法。第一种方法容忍一个任意小的约束违反计算任意精确的最大鲁棒受控不变集的外近似，而第二种方法提供了一个内部近似。外部近似方案是<inline-formula><tex-math notation="LaTeX">$\delta$</tex-math></inline-formula>-完全的，给定的约束集制定为有限的联盟的多面体。
We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an arbitrarily precise outer approximation of the maximal robust controlled invariant set, while the second method provides an inner approximation. The outer approximation scheme is <inline-formula><tex-math notation="LaTeX">$\delta$ </tex-math></inline-formula>-complete, given that the constraint sets are formulated as finite unions of polytopes.