Optimized robust control invariance for linear discrete-time systems: Theoretical foundations

被引：81
作者：
Rakovic, S. V.
Kerrigan, E. C.
Mayne, D. Q.
Kouramas, K. I.
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England
[2] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London SW7 2AZ, England
[3] Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn, Ctr Proc Syst Engn, London SW7 2AZ, England
来源：
AUTOMATICA | 2007年 / 43卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
set invariance; optimized robust control invariance; constrained control; robust control; linear systems;
D O I：
10.1016/j.automatica.2006.11.006
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 introduces the concept of optimized robust control invariance for discrete-time linear time-invariant systems subject to additive and bounded state disturbances. A novel characterization of two families of robust control invariant sets is given. The existence of a constraint admissible member of these families can be checked by solving a single and tractable convex programming problem in the generic linear-convex case and a standard linear/quadratic program when the constraints are polyhedral or polytopic. The solution of the same optimization problem yields the corresponding feedback control law that is, in general, set-valued. A procedure for selection of a point-valued, nonlinear control law is provided. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：831 / 841
页数：11
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