最小分散制御の安定性に関する一考察

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  • On a Stability of Minimum Variance Control
  • サイショウ ブンサン セイギョ ノ アンテイセイ ニ カンスル イチ コウサツ

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Self tuning control (STC) is a control technique to adjust the parameter of the on-line controller which adapts itself when plant parameter changes. There are minimum-variance control (MVC), generalized minimum-variance control (GMVC), generalized predicted control (GPC), and so on as a effective way of design STC. The structure of MVC and GMVC is especially easy and manageable.<br>It is necessary to use MVC that plant is minimum phase system and stable in the discrete time-domain. But, generally actual controlled system is continuous time. Then, when digitizing is given, it sometimes becomes non-minimum phase system. And if we set up sampling time very small, MVC controller has unstable poles.<br>In this paper, we propose that how to design MVC for plant which is stable and minimum phase system in continuous time domain by introducing a delta-operator and weight adjustment of the cost function. Then, we study about stability.

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