A One-Step Approach to Computing a Polytopic Robust Positively Invariant Set

被引：56
|
作者：
Trodden, Paul [1 ]
机构：
[1] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 12期
关键词：
Computational methods; invariant sets; linear systems; optimization; uncertain systems; MODEL-PREDICTIVE CONTROL; LINEAR-SYSTEMS;
D O I：
10.1109/TAC.2016.2541300
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A procedure and theoretical results are presented for the problem of determining a minimal robust positively invariant (RPI) set for a linear discrete-time system subject to unknown, bounded disturbances. The procedure computes, via the solving of a single LP, a polytopic RPI set that is minimal with respect to the family of RPI sets generated from a finite number of inequalities with pre-defined normal vectors.
引用
收藏
页码：4100 / 4105
页数：6
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