Trajectory control and interconnection of 1D and nD systems

• Type: Article in International Scientific Journal
• Date: 2001

Authors

Rocha, P (Author) Other; Wood, J (Author) Other

Journal

Title: SIAM Journal on Control and Optimization

Vol. 40

Pages: 107-134

ISSN: 0363-0129

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 45 Citations

Scopus - 56 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-000-TX7

DOI: 10.1137/s0363012999362797

Abstract (EN): In this paper we examine the relationship between control viewed as concatenation of trajectories and control viewed as interconnection of systems. We show that, for one-dimensional linear time-invariant systems, the ability to obtain a given subsystem by regular interconnection ( a prerequisite for any feedback-type structure) is equivalent to the ability to drive any trajectory into that subsystem. However, in the case of multidimensional systems, the former is a stronger property than the latter. Trajectory control lability can, however, be expressed as a regular interconnection of behaviors in an extended variable space by introducing latent or auxiliary variables. This leads as a by-product to the notion of controlling a system by means of latent variables.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28