有限整定軌道の逐次予測による線型離散系の制御系設計法

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  • New Control Design Approach for Linear Discrete-Time Systems Using Successive Prediction of Finite Settling Trajectories
  • ユウゲン セイテイ キドウ ノ チクジ ヨソク ニ ヨル センケイ リサンケイ

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This paper studies a control design approach for certain linear discrete-time systems of single input and single output where an assumption of minimum phase systems and detecting correct delay-time are not required. First, we derive a condition for the optimum finite settling trajectory of the system. Then, we find that a control to transfer output and input value of the system to the optimum finite settling trajectories, which are successively predicted at every sampling time, is obtained in an output feedback form which is derived from the above condition. We verify that all control systems designed on the basis of the design method proposed in this paper are asymptotically stable without requiring any condition of systems to be controlled. This design method can be immediately extended to adaptive control by adding a suitable on-line model identifier. This adaptive control scheme is applicable to chemical plants which have uncertain and changing large time lags.

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