e-feasible approximation of the state reachable set for discrete-time systems

被引:15
作者
Hirata, K [1 ]
Ohta, Y [1 ]
机构
[1] Osaka Univ, Dept Comp Mech Syst, Suita, Osaka 5650871, Japan
来源
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年
关键词
D O I
10.1109/CDC.2003.1272516
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers an approximation problem of the state reachable set for linear discrete-time systems with unknown but bounded exogenous inputs. A simple recursive procedure provides a sequence of enlarging convex polyhedral sets which successively approximates the state reachable set. The main contribution of this paper is to clarify a stopping criterion for the recursive procedure. The notion of positive invariance is utilized,to derive the stopping criterion. The procedure makes it possible, as it is contrast to those of other existing methods, to estimate the state reachable set within a required accuracy.
引用
收藏
页码:5520 / 5525
页数:6
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