Optimal Input Signal Design for Identification of Interactive and Ill-Conditioned Systems

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• 作者：Abhishankar Kumar ; Sridharakumar Narasimhan
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2016
• 出版时间：April 13, 2016
• 年：2016
• 卷：55
• 期：14
• 页码：4000-4010
• 全文大小：560K
• 年卷期：0
• ISSN：1520-5045

文摘

Optimal input design is the process of generating informative inputs that can be used to generate good quality dynamic models using minimal resources. In this work, we propose an optimization-based input design method for identification of ill-conditioned and interactive MIMO systems. The interactions of the inputs, outputs, and ill-conditionality of system are accounted in the formulation. The resulting problem is convex where the decision variables are the input autocorrelation and cross-correlation coefficients. The inputs are realized as white noise filtered through an m-tap FIR filter. The filter coefficients are obtained by the spectral factorization. These proposed ideas are illustrated using simulation of two well-studied problems: (i) heat exchanger system; (ii) high purity distillation column. The system response obtained using conventional D-optimal inputs shows alignment in one particular direction while the system outputs in the proposed formulation show good distribution in the output space. The performance of the inputs signal is also compared based on scattering factor, crest factor, and fit percent of the identified model.