Simple answers to usual questions about unusual forms of the Evans' root locus plot

Monteiro L.H.A.; Da Cruz J.J.

Simple answers to usual questions about unusual forms of the Evans' root locus plot

Tipo

Artigo

Data de publicação

2008

Periódico

Controle y Automacao

Citações (Scopus)

1

Autores

Monteiro L.H.A.
Da Cruz J.J.

Resumo

After a first contact with Evans' root locus plots, in an introductory course about classical control theory, students usually pose questions for which the answers are not trivially found in the usual textbooks. Examples of such questions are: Can a branch intersect itself? Can two or more branches be coincident? Can a branch intersect its asymptote? In this paper devoted to helping teaching, numerical examples and an incremental property are used for answering some questions about unusual forms of root loci related to closed-loop control systems. In some cases, answering to these questions can be fundamental for making a correct sketch of a root locus.

Assuntos Scopus

Classical control theory , Introductory course , Root locus method , Root locus plots