Reduced Order Modeling of Linear MIMO Systems Using Particle Swarm Optimization

In this work, a model order reduction (MOR) technique for a linear multivariable system is proposed using the combined advantage of retaining the dominant poles and the error minimization using the particle swarm optimization. The state space matrices of the reduced order system are chosen such that the dominant eigenvalues of the full order system are unchanged. The other system parameters are chosen using the particle swarm optimization with objective function to minimize the mean squared errors between the outputs of the full order system and the outputs of the reduced order model when the inputs are unit step. The proposed algorithm has been applied successfully, a 10 th order Multiple-Input_Multiple-Output (MIMO) linear model for a practical power system was reduced to a 4 th order and an 8 th order Single-Input-Single-Output (SISO)

[1]  R. Prasad,et al.  MIMO system reduction using modified pole clustering and genetic algorithm , 2009 .

[2]  M. Safonov,et al.  A Schur method for balanced-truncation model reduction , 1989 .

[3]  J. Scherpen,et al.  Balancing and model reduction for discrete-time nonlinear systems based on Hankel singular value analysis , 2004 .

[4]  G. Parmar,et al.  System reduction using factor division algorithm and eigen spectrum analysis , 2007 .

[5]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[6]  J. Peraire,et al.  Balanced Model Reduction via the Proper Orthogonal Decomposition , 2002 .

[7]  Massoud Pedram,et al.  Model-order reduction using variational balanced truncation with spectral shaping , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  S. Mukherjee,et al.  Reduced order modelling of linear mimo systems using genetic algorithm , 2007 .

[9]  Sidhartha Panda,et al.  Evolutionary Techniques for Model Order Reduction of Large Scale Linear Systems , 2009 .

[10]  M. K. Pandey,et al.  System order reduction using GA for unit impulse input and a comparative study using ISE & IRE , 2009, ICAC3 '09.

[11]  Emilia Fridman.  Robust sampled-data H/sub /spl infin// control of linear singularly perturbed systems , 2006, IEEE Transactions on Automatic Control.

[12]  Massoud Pedram,et al.  Model order reduction of large circuits using balanced truncation , 1999, Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198).

[13]  A. Antoulas,et al.  A Rational Krylov Iteration for Optimal H 2 Model Reduction , 2006 .

[14]  Timo Reis,et al.  Balanced truncation model reduction of second-order systems , 2008 .

[15]  R. C. Mittal,et al.  Model order reduction using response-matching technique , 2005, J. Frankl. Inst..