On barriers in state and input constrained nonlinear systems

De Doná J.A.; Lévine J.

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On barriers in state and input constrained nonlinear systems

机译：关于状态和输入约束非线性系统的障碍

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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.

机译：本文通过多维约束解决了状态和输入约束控制问题。我们获得状态空间的可允许子集的边界的局部描述，其中状态和输入约束始终可以得到满足。此边界由两个不相交的部分组成：状态约束边界的子集，在该子集上有指向可允许集合内部或与之相切的轨迹，以及屏障，即通过最小可乘构造的半渗透表面。一样的原则。

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《SIAM Journal on Control and Optimization》 |2013年第4期|共27页
作者
De Doná J.A.; Lévine J.;
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正文语种 eng
中图分类运筹学;控制论、信息论（数学理论）;
关键词
Admissible set; Barrier; Nonlinear systems; State and input constraints;

机译：容许集;壁垒;非线性系统;状态和输入约束;

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On barriers in state and input constrained nonlinear systems

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