A fractional representation approach to the robust regulation problem for SISO systems

Autor:	Laakkonen, Petteri, Quadrat, Alban
Rok vydání:	2017
Předmět:	Mathematics - Optimization and Control 93C05 93B51 93B52
Druh dokumentu:	Working Paper
DOI:	10.1016/j.sysconle.2017.02.006
Popis:	The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of systems in a unique simple framework. We formulate the famous internal model principle in a form suitable for plants defined by fractional representations which are not necessarily coprime factorizations. By using the internal model principle, we are able to give necessary and sufficient solvability conditions for the robust regulation problem and to parameterize all robustly regulating controllers. Comment: 13 pages, 1 figure, to appear in Systems & Control Letters
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.01803 Zobrazit plný text záznamu View this record from Arxiv