Model reduction techniques have been used widely in all engineering fields especially in electrical, mechanical as well as chemical engineering. The basic idea of reduction technique is to replace the original system with much smaller state space dimension. A reduced order model is more beneficial to process and industrial field in terms of control purposes by using proper orthogonal decomposition method (POD), which finds applications in computationally processing large amounts of high-dimensional data with the aim of obtaining low-dimensional descriptions that capture a large amount of the phenomena of interest. The discrete version of the POD, which is the singular value decomposition (SVD) of matrices, is described in some detail.
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