区分的に線形時間不変となる周期制御システムの最適制御問題

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タイトル別名
  • Optimal Control of Piece-Wise Linear Time-Invariant Periodic Control Systems
  • クブンテキ ニ センケイ ジカン フヘン ト ナル シュウキ セイギョ システ

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抄録

This paper deals with the optimal control problem of piece-wise linear time-invariant periodic control systems (PLPCS).<br>This problem can be considered as an application of the optimal control problem for system equations with right-hand side discontinuity of the state. The solution of the optimal control problem is shown to be valid for periodic control processes.<br>A switching sequence of system equations is denoted by σ, and the σ- invariance of the system is defined.<br>A sufficient condition is obtained that PLPCS should have a unique periodic solution. It is also shown that when this condition holds and the system is σ-invariant, the PLPCS optimally designed for an integral quadratic P. I. will have a stationary periodic solution obtainable by solving the optimal control problem of PLPCS with the same P. I. and under the periodic condition.

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