A HYBRID FINITE-DIMENSIONAL RHC FOR STABILIZATION OF TIME-VARYING PARABOLIC EQUATIONS

被引：15

作者：

Azmi, Behzad ^{[1
]}

Kunisch, Karl ^{[1
,2
]}

机构：

[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, A-4040 Linz, Austria

[2] Karl Franzens Univ Graz, Inst Math & Sci Comp, A-8010 Graz, Austria

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2019年 / 57卷 / 05期

关键词：

receding horizon control; asymptotic stability; observability; optimal control; infinite-dimensional systems; sparse controls; NAVIER-STOKES EQUATIONS; INTERNAL EXPONENTIAL STABILIZATION; MODEL-PREDICTIVE CONTROL; FEEDBACK STABILIZATION; NONSTATIONARY SOLUTION; SPARSE; STABILIZABILITY; SYSTEMS;

D O I：

10.1137/19M1239787

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The present work is concerned with the stabilization of a general class of time-varying linear parabolic equations by means of a finite-dimensional receding horizon control (RHC). The stability and suboptimality of the unconstrained receding horizon framework are studied. The analysis allows the choice of the squared l(1)-norm as control cost. This leads to a nonsmooth infinite horizon problem which provides stabilizing optimal controls with a low number of active actuators over time. Numerical experiments are given which validate the theoretical results and illustrate the qualitative differences between the l(1)- and l(2)-control costs.

引用

页码：3496 / 3526

页数：31

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