Stability Test for Multivariable NCbT Using Input/Output Data

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  • 多変数NCbTに対する入出力データを用いた安定性テスト
  • タヘンスウ NCbT ニ タイスル ニュウシュツリョク データ オ モチイタ アンテイセイ テスト

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Abstract

In model-free controller syntheses, we have no idea whether the designed controller stabilizes the resulting closed-loop system before its implementation. From the view point of safety of the experimental equipment, we should develop the stability test for model-free controller synthesis using the acquired input/output data. Karimi et al. introduced the sufficient stability condition for the closed-loop system and proposed the stability test for NCbT (Noniterative Correlation-based Tuning) for SISO systems. However, since the positions of the plant and the controller have to be swapped in NCbT, its applicability is restricted to SISO systems.<br>This paper proposes to extend the stability test for NCbT to MIMO systems. The basic idea is to use the special reference r[i](t) and to acquire input/output data as many times as the number of plant inputs. The small-gain theorem introduces the sufficient stability condition for the closed-loop system in terms of the H∞ norm of the specific transfer function matrix, which is estimated from the acquired input/output data by the spectral analysis method.<br> The effectiveness of the proposed stability test is confirmed by the numerical experiment for LV100 gas turbine engine model and the experiment for tension-and-speed control apparatus.

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