Stable Output Deadbeat Controller with State Feedback in Discrete Time Linear Multivariable Systems

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  • 離散時間線形多変数系における状態フィードバックによる安定な出力デッドビート制御器
  • リサン ジカン センケイ タヘンスウケイ ニ オケル ジョウタイ フィードバッ

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Abstract

This paper considers the problem of designing an output deadbeat controller, using a state feedback such that the closed loop system is stable, in discrete time linear multivariable systems. The definitions and characterizations of a zero output stabilizable subspace and a zero output controllable subspace are given. It is shown that a stable output deadbeat controller can be designed if and only if the pair (A, B) is controllable modulo the zero output stabilizable subspace, where A is the transition matrix and B is the driving matrix. Finally, a procedure is given for designing the output deadbeat controller when it can be designed. The resulting controller is optimal in the sense that the controller settles the output in zero for any initial state in the minimum number of steps.

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