A convex solution to receding horizon control of switched linear systems
Essick V, Raymond B.
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https://hdl.handle.net/2142/26189
Description
Title
A convex solution to receding horizon control of switched linear systems
Author(s)
Essick V, Raymond B.
Issue Date
2011-08-25T22:18:04Z
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
Keyword(s)
Receding horizon control
switched linear systems
dynamic output feedback
uniform exponential stability
linear matrix inequalities
Abstract
The uniform stabilization of discrete-time switched linear systems subject to a strongly connected switching constraint is exactly solved for finite-path-dependent controllers with finite horizon knowledge of future switching modes. Conditions for the existence of both a full-information state-feedback controller and a dynamic output feedback controller are given in the form of finite-dimensional systems of linear matrix inequalities. Controller synthesis is accomplished with no unnecessary assumptions by solving any feasible system of linear matrix inequalities from an increasing sequence of such families.
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