University of Illinois Urbana-Champaign

Simplex-type variable structure controllers for stability and performance

Diong, Billy Ming

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https://hdl.handle.net/2142/19607

Description

Title
Simplex-type variable structure controllers for stability and performance
Author(s)
Diong, Billy Ming
Issue Date
1992
Doctoral Committee Chair(s)
Medanic, Juraj V.
Department of Study
Department of Electrical and Computer Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Engineering, Electronics and Electrical
  • Engineering, System Science
Language
eng
Abstract
  • This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases.
  • In both of these cases, it is shown that the sliding mode dynamics associated with the variable structure control system (VSCS) can be completely parameterized in terms of a free parameter matrix. Having reduced the problem to one of selecting the free matrix, we show that this is actually equivalent to the problem of designing either an ${\cal H}\sb\infty$-norm bounding state feedback control or an ${\cal H}\sb\infty$-norm bounding output feedback control for a linear system. Design procedures are given, and it is shown how a reduced-order (less than the order of the plant) simplex controller can be designed to guarantee robust stability as well as a certain level of disturbance attenuation for the system in the sliding mode.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/19607
Copyright and License Information
Copyright 1992 Diong, Billy Ming

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