Subspace model identification under load disturbance with unknown transient and periodic dynamics |
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Affiliation: | 1. School of Automation, Central South University, Changsha, 410083, China;2. Department of Chemical Engineering, Chung Yuan Christian University, Chungli, Taoyuan, Taiwan, 32023, R.O.C.;3. State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, Zhejiang, China;1. Department of Automation, Tsinghua University, Beijing, 100084, China;2. School of Chemical Engineering and Advanced Materials, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom;1. Mork Family Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, CA 90089, USA;7. Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, USA;1. MISTEA, University of Montpellier, INRA, SupAgro, Montpellier, France;2. CNRS, IRD, MARBEC, University of Montpellier, IFREMER, France |
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Abstract: | To overcome the influence from load disturbance with unknown transient and periodic dynamics, as often encountered when performing identification tests in engineering applications, a bias-eliminated subspace model identification method is proposed to realize consistent estimation, which can be used for both open- and closed-loop systems. By decomposing the output response into disturbed and undisturbed components, an oblique projection is subtly introduced to eliminate the disturbance and noise impact so as to obtain unbiased estimation on the deterministic system state matrices, while the disturbance response dynamics could be estimated. In particular, a specific algorithm based on minimizing the output prediction error is given to find out the disturbance period if exists, such that the disturbance effect can be eliminated by the above projection regardless of the disturbance waveform and magnitude. A shift-invariant approach is then given to retrieve the deterministic state matrices. Consistent estimation on the deterministic system matrices is analyzed with a proof. A benmark example from the literature and an industrial injection molding process are used to demonstrate the effectiveness and merit of the proposed method. |
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Keywords: | Subspace identification load disturbance deterministic system response oblique projection consistent estimation |
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