Order reduction of linear systems using an error minimization technique

Model order reduction using response-matching technique

“…It has been made clear in this paper that in a number of large-scale engineering problems, efficient handling of discretized computational model is possible using a reduced-order model derived from the finite element model of the original system. Further, it is also mentioned that out of the six basic approaches of order reduction like (1) parameter optimization, (2) aggregation, (3) singular perturbation, (4) model dominance, (5) component cost analysis and (6) internal balancing, the last three are found more convenient and meaningful in applications.…”

“…Further, in this approach the pole patterns chosen for the second order ROM are real distinct as well as a pair of imaginary poles only. In fact this was an improvement over the method proposed by Mukherjee et al [6] because instead of retaining dominant poles, these are independently determined using the method of error minimization, whereas in [6] only the numerator polynomials of the ROM transfer function are determined using transient-error minimization.…”

Genetic algorithm approach with frequency selectivity for model order reduction of MIMO systems

“…The proposed technique has been compared to some of the well-known methods that are based on the system transfer behaviour, namely, the balanced gramian-based POD technique [6,10], the frequency-weighted balanced realization technique [11] and the Schur decomposition balanced truncation technique [13,20]. In addition, the new method has also been compared to some other recent and older techniques [16,[21][22][23][24].…”

Linear time invariant system order reduction using multipoint step response matching

“…All the methods of order reduction can be very broadly classified into two groups, such as the methods where response matching is decided 'a priori' (i.e., the step, impulse or frequency response of the systems is used to obtain the reduced order system (ROS)), and the methods where it is not decided 'a priori'. In some of the methods belonging to the first group, error minimization technique is used, such as in Mukherjee and Mishra (1987), Howitt and Luus (1990), Huang and Huang (1996), Luus (1999), Mukherjee and Mishra (1986) and Mukherjee (1996), to obtain the ROS. In these methods either poles or zeros are determined using some criteria.…”