论文标题
分段半ellipsoid控制不变套件
Piecewise semi-ellipsoidal control invariant sets
论文作者
论文摘要
在许多应用程序中，计算控制不变集合至关重要。通常用于计算的集合的家族是椭圆形和多面体。但是，搜索椭圆形家族的控制不变的不变性对于比无约束的线性时间不变系统更为复杂的系统是保守的。此外，即使对控制不变集可以通过多面体任意近似近似，polyhedra的复杂性也可能在某些方向上迅速生长。这两个家庭的有吸引力的概括是分段半ellipsoids。我们在本文中提供了一种用于计算该家族控制不变集的凸编程方法。
Computing control invariant sets is paramount in many applications. The families of sets commonly used for computations are ellipsoids and polyhedra. However, searching for a control invariant set over the family of ellipsoids is conservative for systems more complex than unconstrained linear time invariant systems. Moreover, even if the control invariant set may be approximated arbitrarily closely by polyhedra, the complexity of the polyhedra may grow rapidly in certain directions. An attractive generalization of these two families are piecewise semi-ellipsoids. We provide in this paper a convex programming approach for computing control invariant sets of this family.
