Statistics

    Map

Twitter

A Novel Constraint Narrowing Technique for MIMO Unstable System
( Vol-5,Issue-5,May 2018 )
Author(s):

Laxmikant M. Deshpande, Dr. A.M.Bhavikatti

Keywords:

Constraint Narrowing, Degree of Freedom, Hull consistency, ICST, MIMO, Pre-filter, QFT.

Abstract:

Frequency response data collection can be a boon for modeling of MIMO uncertain plant. System stability can be assessed either by transfer function or by state-space method. Both will arrive at matrix transformation and further decision approach. Both can be considered for diagonalization of matrix. It is a proven fact that when the matrix is diagonalized the elements of the principle diagonal are the Eigen values and these Eigen values are closed loop poles from which stability can be assessed. The feature of such a diagonal matrix is that its principle diagonal elements contain gains of all the feedback paths. Singular value decomposition is used here for diagonalization. Singular value decomposition technique has been demonstrated by many authors but, application of PCA with Euclidian norm has not been paid attention so far. The systems numerical array is fed to a digital processing tool such as Mat lab and SVD-PCA (Singular Value Decomposition- Principal Component Analysis) is applied to determine the reduction of disturbance or noise and to provide minimum sensitivity and error correction. There are Hull, Box and KB consistency narrowing techniques used previously and the idea is extended further and an SVD-PCA-Norm technique which is now referred as LA criteria has been demonstrated here.

ijaers doi crossref DOI:

10.22161/ijaers.5.5.28

Paper Statistics:
  • Total View : 120
  • Downloads : 10
  • Page No: 218-223
Cite this Article:
MLA
Laxmikant M. Deshpande et al ."A Novel Constraint Narrowing Technique for MIMO Unstable System". International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),vol 5, no. 5, 2018, pp.218-223 AI Publications, doi:10.22161/ijaers.5.5.28
APA
Laxmikant M. Deshpande, Dr. A.M.Bhavikatti(2018).A Novel Constraint Narrowing Technique for MIMO Unstable System. International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),5(5), 218-223. http://dx.doi.org/10.22161/ijaers.5.5.28
Chicago
Laxmikant M. Deshpande, Dr. A.M.Bhavikatti. 2018,"A Novel Constraint Narrowing Technique for MIMO Unstable System". International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)).5(5):218-223. Doi: 10.22161/ijaers.5.5.28
Harvard
Laxmikant M. Deshpande, Dr. A.M.Bhavikatti. 2018,A Novel Constraint Narrowing Technique for MIMO Unstable System, International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)).5(5), pp:218-223
IEEE
Laxmikant M. Deshpande, Dr. A.M.Bhavikatti."A Novel Constraint Narrowing Technique for MIMO Unstable System", International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),vol.5,no. 5, pp.218-223,2018.
Bibtex
@article {laxmikantm.deshpande2018a,
title={A Novel Constraint Narrowing Technique for MIMO Unstable System},
author={Laxmikant M. Deshpande, Dr. A.M.Bhavikatti},
journal={International Journal of Advanced Engineering Research and Science},
volume={5},
year= {2018},
}
Share:
References:

[1] Prof. Masayuki Fujita, Robust Control, Spring, 2017
[2] Robust Control Toolbox User’s Guide R2017a, MathWorks, 2017.
[3] Chhaya Sunil Khandelwal a, Ranjan Maheshewarib ,U.B.Shinde, Review paper on applications of principal component analysis in multimodal biometrics system, 2nd International Conference on Intelligent Computing, Communication & Convergence (ICCC-2016), Science Direct 2016.
[4] Prof. Guy Beale, course notes on multivariable and robust control.
[5] Reed Tillotson, A Review of a Singularly Valuable Decomposition: The SVD of a Matrix, June 6, 2013.
[6] BurakDemirel, State-Space Representations of Transfer Function Systems, Referral notes,February 2, 2013
[7] Rambabu Kalla, P. S. V. Natraj, Synthesis of fractional –order QFT controller using interval constraint satisfaction technique, System & Control Engineering, IIT Mumbai, India.
[8] Chandrima Roy et al, Quantitative Feedback Theory based Controller Design of an Unstable System, International Journal of Computer Application, International Conference on Commuication, Circuits and Systems, pp 11-14, Ic3s-2012.
[9] Ivan Dokmanic, Juri Ranieri, and Martin Vetterli, Relax and Unfold: Microphone Localization with Euclidean Distance Matrices, 23rd European Signal Processing Conference (EUSIPCO)
[10] Okko H. Bosgra, HuibertKwakernaak, GjerritMeinsma, Control Systems, Notes for a course of the Dutch Institute of Systems and Control Winter term 2007.
[11] S. Skogestad and I. Postlethwaite, Multivariable Feedback Control; Analysis and Design, Second edition, Wiley, 2005.
[12] Nael H. El-Farra, Panagiotis D. Christodes, Bounded robust control of constrained multivariable nonlinear processes, Chemical Engineering Science 58 (2003) 3025 – 3047.
[13] Thomas McAvoy, Richard D. Braatz, Controllability of Processes with Large Singular Values, Ind. Eng. Chem. Res. 2003, 42, 6155-6165.
[14] E. Boje, “Pre-filter design for tracking error specifications in QFT”, Int. J. Robust and Nonlinear Control, 13637- 642, 2003.
[15] Derek Rowell, Analysis and Design of Feedback Control Systems, State-Space Representation of LTI Systems, October 2002.
[16] Katsuhiko Ogata, Modern Control Engineering, 4th Ed., Prentice Hall Inc., New Jersey, 2002.
[17] E. Boje, “Multivariable Quantitative feedback design for tracking error specifications”, Automatica, 38, 131-138, 2002.
[18] Jonathan How, Feedback Control, 2001.
[19] C.-C. Cheng, Y.-K. Liao and T.-S. Wang, “Quantitative feedback design of uncertain multivariable control systems”, Int. J. Control, 65(3), 537-553, 1996.
[20] Winnie H. Y. Ng, L. F. Yeung,Robust Sequential Design Procedurefor Multivariable control systems with parameters bounded by Intervals, IFAC Large Scale Systems. London. UK. 1995
[21] C. Borghesani, Y. Chait, and O. Yaniv, Quantitative Feedback Theory Toolbox User’s Guide, The MathWorks Inc. 1994.