Open Access Open Access  Restricted Access Subscription or Fee Access

D-Partitioning Analysis of Digital Control Systems by Applying the Bilinear Tustin Approximation

(*) Corresponding author

Authors' affiliations



This paper provides further advancement of the D-partitioning analysis applied to digital control systems. The Bilinear Tustin Transform method is employed as one of the most accurate facility for systems discretization, where the Euler's approximation is taken into account as well. The research is a further development of the author’s work on the D-partitioning analysis of digital control systems with variable parameters. The suggested tool for analysis is essential and beneficial for the further development of control theory in this area.
Copyright © 2014 Praise Worthy Prize - All rights reserved.


Bilinear Approximation; Discretization; D-Partitioning Stability Analysis; Digital Control Systems

Full Text:



Neimark Y., D-partition and Robust Stability, Computational Mathematics and Modeling, Vol. 9(Issue 2), pp. 160-166, 2006.

Yanev K.M., Application of the Method of the D-Partitioning for Stability of Control Systems with Variable Parameters, Botswana Journal of Technology, Vol. 15(Issue 1): 26-33, 2005.

Yanev K.M., Anderson G.O., Masupe S., Strategy for Analysis and Design of a Digital Robust Controller for Nonlinear Control Systems, 4th IASTED International Conference, ISBN 978-0-88986-929-5, p. 213-220. 2012

K. M. Yanev, G. O. Anderson, S. Masupe, Multivariable System’s Parameters Interaction and Robust Control Design, (2011) International Review of Automatic Control (IREACO), 4 (2), pp. 180-190.

Yanev K.M., Anderson G., Masupe S., Strategy for Analysis and Design of Digital Robust Control Systems, ICGST-ACSE Journal, Volume 12, Issue 1, pp. 37-44, 2012.

Yanev, K.M., Advanced interactive tools for analysis and design of nonlinear robust control systems, (2013) International Review of Automatic Control (IREACO), 6 (6), pp. 720-727.

Bhanot S., Process Control Principles and Applications, Oxford University Press, pp. 170-187, 2010.

Phillips C., Digital Control System, Prentice-Hall International Inc., pp.125-403, 2000.

Yanev K.M., Analysis of Systems with Variable Parameters and Robust Control Design, Proceedings of the 6th IASTED International Conference on Modeling, Simulation and Optimization, pp. 75-83, 2006.

Yanev K.M., Stability of Control Systems with Two Variable Parameters, Proceedings of the 2nd IASTED International

Dorf R.C., Modern Control Systems, New York, USA, Addison-Wesley, pp.578-583, 2006.

Kuo B.C., Automatic Control Systems, New York, USA, McGraw-Hill, pp.521-530, 2010.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize