最適制御アルゴリズムを用いたH_∞ノルム計算

概要

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This paper deals with computation problems for H_∞ norms of linear time-invariant systems. Based on a fact that norm computation problems are equivalent to optimal control problems, a new method for H_∞ norm computation, which is completely different from all other existing methods and is expected to be applicable to time-varying/non-linear cases, is proposed. The paper is organized as follows. Firstly, a new algorithm for the non-standard optimal control problems of Mayer type is developed and it is proved that accumulation points generated by the algorithm satisfy the necessary conditions for optimality. Secondly, making use of the optimal control algorithm, a computational method for the H_∞ norm calculation, which does not require linear/time-invariant properties of systems, is derived. Lastly, some simulations are given to demonstrate the effectiveness of the proposed method.
日本シミュレーション学会の論文
1996-09-15