By JAMES GOODALL BILL SWEETMAN
Lockheed F-117A: Operation and improvement of the Stealth Fighter КНИГИ ;ВОЕННАЯ ИСТОРИЯ Издательство: Haynes PublishingАвтор(ы): invoice Sweetman, James GoodallЯзык: EnglishГод издания: 1990Количество страниц: 98ISBN: 0-85429-888-6Формат: pdf (72 dpi) 2190x2730Размер: 59.9 mb quick Ifolder eighty five
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Extra resources for Lockheed F-117A: Operation and Development of the Stealth Fighter
Specifically, constraining the rate at which the dynamics of the switching function A(t) can evolve on the equilibrium manifold, it is possible to address input rate saturation constraints. 24) that a constraint on the rate at which the dynamics of the parameter A(t) can evolve on the equilibrium manifold can be enforced effectively placing a rate constraint on the control u(t). 4, we present an algorithm that outlines the key steps in constructing the hierarchical switching feedback controller.
4a. If no solution exists, )~s(x(t)) is unchanged. 4b. If one solution ~1 exists and p(~l) < p(,~) then switch )~s(x(t)) to )~1. 4c. ). Note that multiple solutions can be avoided by modifying the ca 's. Step 5. 11) holds. ) such that Step 3 is satisfied, can be guaranteed by modifying the first part Step 4 as follows: Step 4'. , search for the solutions of V~(x(tk)) < c~, )~ 9 As. In this case, the switching set S C_ As need not be explicitly defined and is computed online. Furthermore, the case where AT ~ 0 recovers the continuous framework described in this section.
34), ~ x x x=Xs(x) = q(z)vxscz)(z)' it follows that ~'(x) - dp(A)dA As(x) = q(x)vxs(x)~s(x). 41) is immediate. 33). 5. 43) where c : De --~ R l• is an arbitrary row vector such that c(x)vT(x) # O, x E De, A E S. 33). Proof. 43). 33). 43), with c(x) = Vxs(z)(x)M;sl(z)(x, q(x)), x E 7)c, implicitly characterizes the Lagrange multiplier q(x), x E De, since q(x) appears in M;ls(x)(x, q(x)). The next result provides an explicit characterization for the Lagrange multiplier q(x), x E I)c. 6. 45) where ck (x, q(x) ), x E 7)c, k = O, 1,...