Discrete Time Stability Margins from Stein's Equation

Yildiz B., Dzhafarov V., Bhattacharyya S. P.

2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015, Sliema, Malta, 17 - 19 August 2015, pp.72-75 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/mcsi.2015.29
  • City: Sliema
  • Country: Malta
  • Page Numbers: pp.72-75
  • Anadolu University Affiliated: Yes

Abstract

© 2015 IEEE.This paper deals with the robust stability of a discrete time stable state space system subject to structured real parameter uncertainty. Using Lyapunov's Theorem and Stein's equation the radius of a stability hypersphere in parameter space is derived from the structure matrices, with the property that all for parameter perturbations lying within the hypersphere stability of the system matrix is preserved. A numerical example is provided.