NDLI: Necessary and Sufficient Conditions for Matching Conditions in Uncertain Systems: Scalar Input

Content Provider	IEEE Xplore Digital Library
Author	Stalford, Harold L.
Copyright Year	1987
Description	Author affiliation: Associate Professor, Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 (Stalford, Harold L.)
Abstract	The uncertain transformation of scalar input uncertain systems to controllable canonical form is used to derive necessary and sufficient conditions for the satisfaction of matching conditions. In particular, it is shown that the matching conditions imply that the uncertain system is completely controllable for all uncertainties. They also imply that the controllable canonical dynamics matrix with zero eigenvalues when transformed back to the original state space by the uncertain transformation is a constant dynamics matrix. Equations are given for computing the matching conditions matrices in terms of the uncertain coefficients of the characteristic polynomial and the uncertain transformation. In addition, the necessary and sufficient conditions provide insight in the development of robust control for uncertain systems in the absence of matching conditions.
Starting Page	897
Ending Page	903
File Size	474359
Page Count	7
File Format	PDF
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1987-06-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Sufficient conditions Uncertain systems Aerodynamics Uncertainty Stability Control systems Aerospace control Motion control Aerospace engineering Oceans
Content Type	Text
Resource Type	Article

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