System Representation and Optimal Tracking in Data Space
Authors: | Fujisaki Yasumasa, Kobe University, Japan Duan Yiran, Kobe University, Japan Ikeda Masao, Osaka University, Japan |
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Topic: | 1.1 Modelling, Identification & Signal Processing |
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Session: | Modelling and Interconnection of Open Dynamical Systems |
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Keywords: | System theory, Data sets, Optimal control, Tracking system. |
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Abstract
Optimal tracking is considered for a linear time-invariant plant in data space. The proposed control strategy does not employ any traditional mathematical model such as a transfer function or a state-space equation. Instead, the plant dynamics is represented as a set of basis vectors whose elements are input-output data of the plant. Using this system representation, an optimal tracking problem is solved, which is to find the control input which minimizes a quadratic performance index subject to achieving dead-beat tracking for arbitrary reference signals.