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Robust Control of Uncertain Systems via Dissipative LQG-Type ControllersOptimal controller design is addressed for a class of linear, time-invariant systems which are dissipative with respect to a quadratic power function. The system matrices are assumed to be affine functions of uncertain parameters confined to a convex polytopic region in the parameter space. For such systems, a method is developed for designing a controller which is dissipative with respect to a given power function, and is simultaneously optimal in the linear-quadratic-Gaussian (LQG) sense. The resulting controller provides robust stability as well as optimal performance. Three important special cases, namely, passive, norm-bounded, and sector-bounded controllers, which are also LQG-optimal, are presented. The results give new methods for robust controller design in the presence of parametric uncertainties.
Document ID
20000032579
Acquisition Source
Langley Research Center
Document Type
Technical Memorandum (TM)
Authors
Joshi, Suresh M. (NASA Langley Research Center Hampton, VA United States)
Date Acquired
September 7, 2013
Publication Date
March 1, 2000
Subject Category
Cybernetics, Artificial Intelligence And Robotics
Report/Patent Number
L-17961
NASA/TM-2000-209866
NAS 1.15:209866
Funding Number(s)
PROJECT: RTOP 706-11-21-02
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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