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The work presented in this paper is an investigation into the application of Model Order Reduction technique. A 10 th order unstable and multi-input multi-output (MIMO) system of a waste water treatment plant (WWTP) is considered in this paper. The paper highlights the extension of balanced realization theory for obtaining reduced order model for unstable system. The results obtained have been compared through a performance index, Integral Square Error (ISE). Finally a linear quadratic regulator (LQR) has been designed for this low order unstable system which enables stabilization of system.
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Kumar et al. (2015) studied this question.