ON BARRIERS IN STATE AND INPUT CONSTRAINED NONLINEAR SYSTEMS

被引：18

作者：

De Dona, Jose A. ^{[1
]}

Levine, Jean ^{[2
]}

机构：

[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia

[2] Mines ParisTech, CAS, Math & Syst, F-77300 Fontainebleau, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2013年 / 51卷 / 04期

关键词：

state and input constraints; barrier; admissible set; nonlinear systems;

D O I：

10.1137/130908786

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of state and input constrained control is addressed with multidimensional constraints. We obtain a local description of the boundary of the admissible subset of the state space where the state and input constraints can be satisfied for all times. This boundary is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories pointing toward the interior of the admissible set or tangentially to it, and a barrier, namely, a semipermeable surface which is constructed via a minimum-like principle.

引用

页码：3208 / 3234

页数：27

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