NDLI: Two time scale output feedback regulation for ill-conditioned systems

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Two time scale output feedback regulation for ill-conditioned systems

Content Provider	NASA Technical Reports Server (NTRS)
Author	Moerder, D. D. Calise, A. J.
Copyright Year	1986
Description	Issues pertaining to the well-posedness of a two time scale approach to the output feedback regulator design problem are examined. An approximate quadratic performance index which reflects a two time scale decomposition of the system dynamics is developed. It is shown that, under mild assumptions, minimization of this cost leads to feedback gains providing a second-order approximation of optimal full system performance. A simplified approach to two time scale feedback design is also developed, in which gains are separately calculated to stabilize the slow and fast subsystem models. By exploiting the notion of combined control and observation spillover suppression, conditions are derived assuring that these gains will stabilize the full-order system. A sequential numerical algorithm is described which obtains output feedback gains minimizing a broad class of performance indices, including the standard LQ case. It is shown that the algorithm converges to a local minimum under nonrestrictive assumptions. This procedure is adapted to and demonstrated for the two time scale design formulations.
File Size	1566769
Page Count	75
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19860016584
Archival Resource Key	ark:/13960/t8md3t868
Language	English
Publisher Date	1986-05-01
Access Restriction	Open
Subject Keyword	Cybernetics Controllers Algorithms Ill-conditioned Problems Mathematics Optimal Control Problem Solving Feedback Control Perturbation Kalman Filters Design Analysis Matrices Mathematics Transformations Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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