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A game theoretic controller for a linear time-invariant system with parameter uncertainty and its application to the Space StationA game theoretic controller is developed for a linear time-invariant system with parameter uncertainties in system and input matrices. The input-output decomposition modeling for the plant uncertainty is adopted. The uncertain dynamic system is represented as an internal feedback loop in which the system is assumed forced by fictitious disturbance caused by the parameter uncertainty. By considering the input and the fictitious disturbance as two noncooperative players, a differential game problem is constructed. It is shown that the resulting time invariant controller stabilizes the uncertain system for a prescribed uncertainty bound. This game theoretic controller is applied to the momentum management and attitude control of the Space Station in the presence of uncertainties in the moments of inertia. Inclusion of the external disturbance torque to the design procedure results in a dynamical feedback controller which consists of conventional PID control and cyclic disturbance rejection filter. It is shown that the game theoretic design, comparing to the LQR design or pole placement design, improves the stability robustness with respect to inertia variations.
Document ID
19900060527
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Rhee, Ihnseok
(Texas Univ. Austin, TX, United States)
Speyer, Jason L.
(Texas, University Austin, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Subject Category
Spacecraft Design, Testing And Performance
Report/Patent Number
AIAA PAPER 90-3320
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference
Location: Portland, OR
Country: United States
Start Date: August 20, 1990
End Date: August 22, 1990
Accession Number
90A47582
Distribution Limits
Public
Copyright
Other

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