H₂ Optimal Model Order Reduction over a Finite Time Interval

2022/01/03 by Das, Kasturi, Krishnaswamy, Srinivasan, Majhi, Somanath
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2201.00662

Abstract

For a time-limited version of the H₂ norm defined over a fixed time interval, we obtain a closed form expression of the gradients. After that, we use the gradients to propose a time-limited model order reduction method. The method involves obtaining a reduced model which minimizes the time-limited H₂ norm, formulated as a nonlinear optimization problem. The optimization problem is solved using standard optimization software.

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