Suboptimal periodical vs optimal bang-bang control for a certain class of the infinite dimensional systems

被引：0

作者：

Smieja, J ^{[1
]}

Swierniak, A ^{[1
]}

机构：

[1] Silesian Tech Univ, Dept Automat Control, PL-44100 Gliwice, Poland

来源：

PERIODIC CONTROL SYSTEMS 2001 | 2002年

关键词：

optimal control; infinite-dimensional systems;

D O I：

暂无

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 paper is concerned with optimal control of dynamical systems, described by state equation with infinite dimensional, tridiagonal system matrix. First, a method of model analysis is briefly outlined. Afterwards, optimization problem is stated and necessary conditions for optimal control are shown. Due to their particular form and control constraints, the solution to the problem is a bang-bang control. Following that conclusion, two gradient methods are presented - one for finding optimal switching times and another for finding suboptimal, periodical solution. Exemplary numerical results are presented and some remarks on applicability of both the model and the solutions are made. Copyright ((C)) 2001 IFAC.

引用

页码：243 / 248

页数：6

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