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Two time scale output feedback regulation for ill-conditioned systemsIssues 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.
Document ID
19860016584
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Calise, A. J. (Drexel Univ. Philadelphia, PA, United States)
Moerder, D. D. (Drexel Univ. Philadelphia, PA, United States)
Date Acquired
September 5, 2013
Publication Date
May 1, 1986
Publication Information
Publisher: NASA
Subject Category
Cybernetics
Report/Patent Number
NAS 1.26:3972
NASA-CR-3972
Accession Number
86N26056
Funding Number(s)
PROJECT: RTOP 505-66-01-02
CONTRACT_GRANT: NAG1-243
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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