Feedback Control with Optimal Reduced-Order Filter and Its Application to Aircraft Gust Load Alleviation System

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  • 最適低次数フィルタによるフィードバック制御と航空機の突風荷重軽減装置への応用
  • サイテキ テイ ジスウ フィルタ ニ ヨル フィードバック セイギョ ト コウ

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LQG approach is a useful metod for designing control systems in which disturbance effects should be alleviated. Although the order of the controller derived with LQG is generally equal to that of the controlled element, reduced-order controllers often give nearly the same performance index value as the optimal full-order controller gives. Since simple controllers are favorable in practical use, it is necessary to evaluate reduced-order controllers in the application of LQG. This paper presents an efficient algorithm to give sub-optimal and optimal reduced-order controllers. The algorithm consists of two processes. One is derivation of sub-optimal reduced-order controller, which is obtained by a chained aggregation model of the full-order controller. The model is given by Hessenberg representation of system matrix of the controller and diagonalization of covariance matrix of the controller states. Since diagonalization of the covariance matrix is equivalent to minimizing the residue of differencial equations, this chained aggregation model is suitable for the derivation of reduced-order models. The other is parameter optimization, which is obtained by using Gauss-Newton methed. Owing to this method, convergence characteristics are improved compared with ordinary gradient methods or Newton-Raphson method. An illustrative example is pretented. The algorithm is applied to an analysis of a basic windtunnel experiment model of an aircraft gust load alleviation system. The mathematical model of the experiment model is described by a 7th order system. In the case of suboptimal reduced-order controller, up to 3rd order controllers give similar performance indices as the optimal full-order controller gives, and in the optimized case, up to 2nd oder reduced-order controllers do so.

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