The output regulation problem with stability for linear switching systems: A geometric approach

This work presents a solution for the output regulation problem with quadratic stability under arbitrary switching in linear switching systems. The extension to other stability requirements, like asymptotic stability in particular, is also considered and it is shown to affect only few specific featu...

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Bibliographic Details
Published in:Automatica (Oxford) 2013-10, Vol.49 (10), p.2953-2962
Main Authors: Zattoni, Elena, Perdon, Anna Maria, Conte, Giuseppe
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic properties
Automation
Computer science
control theory
systems
Control
Control system synthesis
Control theory. Systems
Exact sciences and technology
Geometric approach
Linear switching systems
Methodology
Output regulation
Quadratic stability
Separation
Stability
Switching
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Summary:This work presents a solution for the output regulation problem with quadratic stability under arbitrary switching in linear switching systems. The extension to other stability requirements, like asymptotic stability in particular, is also considered and it is shown to affect only few specific features of the proposed solution. The main reason is that the geometric approach, which is at the basis of the developed methodology, establishes a neat separation between the structural aspects and the stability aspects of the problem. For the same reason, continuous-time systems and discrete-time systems are given a unified treatment as far as the structural issues are concerned, while different technicalities characterize the discussion of the stability issues.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2013.07.005