Abstract
Optimization techniques based on nonlinear programming are used to compute the constant, optimal output feedback gains, for linear multivariable control systems. The computation of these feedback gains provides a useful design tool in the development of aircraft active control systems. Broyden-Fletcher-Goldfarb-Shanno (BFGS), Davidon-Fletcher-Powell (DFP), and Newton methods are used in conjunction with appropriate starting values to compute the optimal gains; and a comparison of the effectiveness of the techniques is given. Also a modification of the DFP Method in which an analytical approximation of the inverse Hessian is used as a priming value is developed and evaluated. An example problem, the optimal control of a flexible aircraft, is used to evaluate the techniques. Results indicate that the methods provide an efficient and cost effective solution of the optimal output feedback problem.
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