An adaptive random-search algorithm for implementation of the maximum principle
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AN EXAMPLE PROBLEM SATELLITE ATTITUDE ACQUISITION
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A/D converter ADAPTIVE RANDOM-SEARCH ALGORITHM adjoint equations adjoint initial conditions adjoint variables alinement of axes analog computer Analog Program ANGULAR POSITIONS boundary conditions components control interface control problem control vector convergence cycle desired circular orbit desired orbit differential equations digital computer discrete signals discussed end-search strategy end-state loop fixed fixed-time problems flowgraph free-time problems fuel required function gaussian history solutions hybrid computer hybrid system hypersurfaces implementation indicated initial alinement initial values integrators interval 0,T J(tm J(xm km x2 last successful Maximum Principle minimum normal strategy number of iterations obtained operation optimal control optimal nonlinear control optimal proportional control optimum orbit-transfer problem parameters performance pericynthian Pontryagin Maximum Principle r-rc I DIV rad/sec2 random-search method reset loop reset mode rotating coordinate system search algorithm search mode shown in figure simulation situation standard deviation target set terminal torque transversality conditions variance sequence varying vector metric vehicle X4 I DIV zero