"A two player zero-sum linear quadratic differential game is investigated for the case in which one of the players has incomplete a priori knowledge of the parameters of his opponent's dynamic system. This incomplete system parameter information game is shown to be playable since the ignorant player can make limiting estimates of the unknown parameters from the relative controllability condition for the game. Performance from the ignorant player's point of view is suboptimal.
It is also shown that parameter identification techniques can be applied by the ignorant player in order to directly identify the smart player's closed-loop parameters in the case in which the smart player's optimal control gains become time-invariant. The open-loop system parameters may then be estimated from the identified closed-loop parameters. Using these estimated open-loop parameters in the optimal control law results in an asymptotically optimal adaptive control strategy for the ignorant player.
Both continuous and discrete time parameter identification techniques were applied to the incomplete system parameter information game. In doing so, multivariable extensions were derived for previously developed single input/output continuous time and discrete time identification techniques. A multivariable combination response error and equation error continuous time learning model identification technique was also developed"--Abstract, page ii.
Noack, Thomas L.
Pazdera, John S., 1941-1974
Goodman, Daniel K.
Kern, Frank J.
Fannin, D. Ronald
Pagano, Sylvester J., 1924-2006
Electrical and Computer Engineering
Ph. D. in Electrical Engineering
University of Missouri--Rolla
vii, 117 pages
© 1973 John Donald Corrigan, All rights reserved.
Dissertation - Restricted Access
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Link to Catalog RecordElectronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library. http://laurel.lso.missouri.edu/record=b1066845~S5
Corrigan, John D., "Parameter identification applied to linear quadratic differential games" (1973). Doctoral Dissertations. 236.