Improved Frequency Limited Model Reduction

Three techniques of model reduction of frequency limited Gramians based systems are being presented. The proposed techniques utilize mathematical treatment to preserve the stability of reduced order models of original systems and yield relatively less approximation error with respect to existing stability preserving techniques. Comparison with reduced-order model obtained from several existing techniques reveals the efficacy of proposed techniques.

[1]  V. Sreeram.  An improved frequency weighted balancing related technique with error bounds , 2004, CDC.

[2]  Gene F. Franklin,et al.  An error bound for a discrete reduced order model of a linear multivariable system , 1987 .

[3]  Brian D. O. Anderson,et al.  Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction , 2003, Autom..

[4]  Marek Rydel,et al.  A new frequency weighted Fourier-based method for model order reduction , 2018, Autom..

[5]  Nitin Singh,et al.  Model order reduction using factor division algorithm and fuzzy c-means clustering technique , 2019, Trans. Inst. Meas. Control.

[6]  Muhammad Imran,et al.  A New Frequency-Limited Interval Gramians-Based Model Order Reduction Technique , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  D. Enns.  Model reduction with balanced realizations: An error bound and a frequency weighted generalization , 1984, The 23rd IEEE Conference on Decision and Control.

[8]  Victor Sreeram,et al.  Generalized time limited Gramian based model reduction , 2017, 2017 Australian and New Zealand Control Conference (ANZCC).

[9]  Victor Sreeram,et al.  A Survey/Review of Frequency-Weighted Balanced Model Reduction Techniques , 2008 .

[10]  V. Sreeram,et al.  A new frequency-weighted balanced truncation method and an error bound , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[11]  Victor Sreeram,et al.  A frequency weighted model order reduction technique and error bounds , 2014, Autom..

[12]  Muhammad Imran,et al.  Model reduction techniques with error bounds , 2017, 2017 13th IEEE Conference on Automation Science and Engineering (CASE).

[13]  Ching-An Lin,et al.  Model Reduction via Frequency Weighted Balanced Realization , 1990, 1990 American Control Conference.

[14]  Victor Sreeram,et al.  Model Reduction Using Parameterized Limited Frequency Interval Gramians for 1-D and 2-D Separable Denominator Discrete-Time Systems , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  R. Stephenson.  A and V , 1962, The British journal of ophthalmology.

[16]  Jer-Nan Juang,et al.  Model reduction in limited time and frequency intervals , 1990 .

[17]  Fahad Mumtaz Malik,et al.  Frequency limited Gramians-based structure preserving model order reduction for discrete time second-order systems , 2019, Int. J. Control.

[18]  K. Glover.  All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[19]  A. Antoulas,et al.  A Survey of Model Reduction by Balanced Truncation and Some New Results , 2004 .

[20]  Muhammad Imran,et al.  A Frequency Limited Interval Gramians-Based Model Reduction Technique with Error Bounds , 2015, Circuits Syst. Signal Process..