University of Illinois Urbana-Champaign

Stability of linear autonomous systems under regular switching sequences

Wang, Yu

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Yu_Wang.pdf

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https://hdl.handle.net/2142/50614

Description

Title
Stability of linear autonomous systems under regular switching sequences
Author(s)
Wang, Yu
Issue Date
2014-09-16
Director of Research (if dissertation) or Advisor (if thesis)
Dullerud, Geir E.
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2014-09-16T17:24:23Z
Keyword(s)
  • Switched systems
  • Muller Automata
  • Robust stability
Abstract
In this work, we discuss the stability of a discrete-time linear autonomous system under regular switching sequences, whose switching sequences are generated by a Muller automaton. This system arises in various engineering problems such as distributed communication and automotive engine control. The asymptotic stability of this system, referred to as regular asymptotic stability, generalizes two well-known definitions of stability of autonomous discrete-time linear switched systems, namely absolute asymptotic stability (AAS) and shuffle asymptotic stability (SAS). We also extend these stability definitions to robust versions. We prove that absolute asymptotic stability, robust absolute asymptotic stability and robust shuffle asymptotic stability are equivalent to exponential stability. In addition, by using the Kronecker product, we prove that a robust regular asymptotic stability problem is equivalent to the conjunction of several robust absolute asymptotic stability problems.
Graduation Semester
2014-08
Permalink
http://hdl.handle.net/2142/50614
Copyright and License Information
Copyright 2014 Yu Wang

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