On Uniform Stabilization of Discrete-Time Linear Parameter-Varying Control Systems | IEEE Journals & Magazine | IEEE Xplore

On Uniform Stabilization of Discrete-Time Linear Parameter-Varying Control Systems


Abstract:

For discrete-time polytopic linear parameter-varying systems, the uniform exponential stability, which is equivalent to the asymptotic stability and includes the quadrati...Show More

Abstract:

For discrete-time polytopic linear parameter-varying systems, the uniform exponential stability, which is equivalent to the asymptotic stability and includes the quadratic stability as a special case, is characterized by the union of an increasing family of linear matrix inequality conditions. On the other hand, in certain cases, nonconservative synthesis of uniformly stabilizing controllers is achieved via a system of finite number of linear matrix inequalities if the controller is allowed to have finite memory of past parameters. Two such cases are robust state feedback (in a relaxed sense) against polytopic parameter variations, and multiple output injections under polytopic fusion rules
Published in: IEEE Transactions on Automatic Control ( Volume: 51, Issue: 10, October 2006)
Page(s): 1714 - 1721
Date of Publication: 09 October 2006

ISSN Information:


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