Journal article
Unfolding the zero structure of a linear control system
Linear algebra and its applications, v 258(01-Mar)
1997
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This paper is motivated by the problem of controller design for a parameter-dependent linear system. Many compensation techniques depend critically on aspects of the zero structure of the system, such as relative degree, or the nonminimum-phase property. However, the zero structure is structurally unstable, meaning it may change discontinuously with small changes in the parameters. Thus it is crucial that the designer know what structures and structural transitions are possible. This paper uses a miniversal deformation, or unfolding, of the Kronecker form previously reported by the authors, and applies it directly to pencils in a canonical form of the system matrix. The unfolding is used to explore all zero structures in the neighborhood of a nominal system. Several examples are presented. When possible, the results are presented in the form of a bifurcation diagram.
Metrics
Details
- Title
- Unfolding the zero structure of a linear control system
- Creators
- Jordan M. Berg - Texas Tech UniversityHarry G. Kwatny - Drexel University
- Publication Details
- Linear algebra and its applications, v 258(01-Mar)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1997WW61000002
- Scopus ID
- 2-s2.0-0346614530
- Other Identifier
- 991019168688904721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied