## A frequency domain approach to linear optimal controlFlight Research Dept., Cornell Aeronautical Laboratory, Inc. of Cornell University - Mathematics - 26 pages |

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block diagram break frequencies Chang's closed-loop poles closed-loop system coefficients Cramer's rule damping factor db when k2 describe a desirable desirable set direct method dummy variable example is given existence of Eq feedback gains Figure frequency domain approach gives iable left-half plane component left-half plane poles left-half plane roots left-half plane zeros linear optimal control loop poles matrix Wiener-Hopf equation multivariable root square multivariable systems Nichols Chart numerator of Eq obtain open-loop poles optimal control law optimal control vector optimal system optimum component output vector parameter partial fraction expansion performance index plane factor plant and model plotting the open-loop polynomial entries prefilter ahead proach procedure rewritten right-half plane roots root locus root square locus scalar equation side of Eq single variable single-input single-output specific feedback configuration spectral factorization approach step input straight line approximation Substituting Eq system dynamics theoretical develop transfer function unknown value of k2