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This paper is devoted to design of stochastic robust anisotropy-based reduced-order controller for longitudinal flight control in landing approach under the influence of both deterministic and stochastic external disturbances. The control aims at disturbance attenuation and stabilizing aircraft longitudinal motion along some desired glidepath. The controller design procedure consists of two steps. At first, the full-order optimal controller is obtained as the solution to normalized anisotropy-based stochastic Η∞ optimization problem. Then, the optimal controller is reduced via a truncation-like technique. The results of comparison of reduced-order anisotropic controller with LQG and Η∞ ones on the base of closed-loop system simulation are presented.
The anisotropic norm of a linear discrete-time-invariant is a measure of system output sensitivity to stationary Gaussian input disturbances with mean anisotropy bounded by some nonnegative parameter. The mean anisotropy characterizes the predictability degree of stochastic signal. The znisotropic norm of a system is an induced norm, which limiting cases are H2- and H∞ norms as α→0 and α→∞, respectively. In [1] a method for numerical computation of the anisotropic norm was proposed. This method involves linked Riccati and Lyapunov equations and associated special type equation. This paper develops a method for computing the anisotropic norm that reduces to finding a strongly rank-minimizing solution of linear matrix inequality and a solution of special type nonlinear algebraic equation.
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