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Direct Optimal Control of Duffing DynamicsThe "direct control method" is a novel concept that is an attractive alternative and competitor to the differential-equation-based methods. The direct method is equally well applicable to nonlinear, linear, time-varying, and time-invariant systems. For all such systems, the method yields explicit closed-form control laws based on minimization of a quadratic control performance measure. We present an application of the direct method to the dynamics and optimal control of the Duffing system where the control performance measure is not restricted to a quadratic form and hence may include a quartic energy term. The results we present in this report also constitute further generalizations of our earlier work in "direct optimal control methodology." The approach is demonstrated for the optimal control of the Duffing equation with a softening nonlinear stiffness.
Document ID
20020082894
Acquisition Source
Glenn Research Center
Document Type
Technical Memorandum (TM)
Authors
Oz, Hayrani (Ohio State Univ. Columbus, OH United States)
Ramsey, John K. (NASA Glenn Research Center Cleveland, OH United States)
Date Acquired
September 7, 2013
Publication Date
September 1, 2002
Subject Category
Engineering (General)
Report/Patent Number
NAS 1.15:211582
NASA/TM-2002-211582
E-13366
Funding Number(s)
PROJECT: RTOP 297-10-00
Distribution Limits
Public
Copyright
Public Use Permitted.

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