Eitan Altman, Tamer Başar, Naira Hovakimyan (auth.), Jerzy's Advances in Dynamic Games and Applications PDF

By Eitan Altman, Tamer Başar, Naira Hovakimyan (auth.), Jerzy A. Filar, Vladimir Gaitsgory, Koichi Mizukami (eds.)

ISBN-10: 1461213363

ISBN-13: 9781461213369

ISBN-10: 1461271002

ISBN-13: 9781461271000

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Let Assumption A1 hold. 1 hold. (2) Conditions (73) hold, and the matrix sequencegeneratedby (72) is well defined and nonnegative definite. 21 Worst-Case Rate-Based Flow Control with an ARMA Model (3) An H oo -controller that ensures the bound y2 in (12) under O-delayed measurements is given by (77). For a given y > 0, if anyone ofthe conditions above does not hold, then y :s yo. 1 under delayed measurements. 1. Under Assumption AI, the optimal control problem with the disturbance model M 1, and ()-delayed measurements, admits the unique solution u~O = It (xn, ~nln-o) = -B'M(l + BB"M)-I A ( f3nln-o ~x ), (78) where M is the unique nonnegative-definite solution of (59) in the class of nonnegative-definite matrices, and Sin) n-O+I = { ~n-IJ+I, n ~ (), 0, else, (79) where ~n, n ~ 1, is generated by (61), and A is as defined by (44).

When we vary 0 (as we will do in the sequel) this will be done precisely in this framework, with the timescale kept fixed. 1 for the delayed measurements case. The small-noise perturbed problem is precisely the one formulated in Section 3, with the only difference being that now the control has access to Ym-O, m ~ n, at time n. x x xm xm-o. 1. Consider the framework of Section 3, but with the controller having the structural form discussed above, with 0 ~ 1. Let € > 0 be fixed, and Assumption A 1 hold.

Then, for the generalized plant, we construct an Hoo output feedback controller, and at the same time, we evaluate a domain of stability. 1 Generalized Plant Design We shall design a control system meeting the following specifications: (Sl) A joint angle () should track output signals ofa reference model (WI ~ ZI). (S2) Sensitivity from process noises to a control input should be reduced (W2 ~ Z2). --------+-+-----, + + Figure 3: Generalized plant. 11 Bilinear Hoo Output Feedback Control Problems [ :: ] = y [-~' ~] [ :; ] + [ ~ [-K,C, K, 41 n u, 1[ :; ] + [+0 (46) 0 1 1w, (47) where x p denotes a state of the reference model M(s) of the form M(s)=~=_l_.

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Advances in Dynamic Games and Applications by Eitan Altman, Tamer Başar, Naira Hovakimyan (auth.), Jerzy A. Filar, Vladimir Gaitsgory, Koichi Mizukami (eds.)

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