By Topic

Complex stability margin computation based on computer algebra

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Nainn-Ping Ke ; Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA

This paper describes a symbolic method for robust stability analysis of which the stability margin (kM) problem can be formulated by solving polynomial systems using symbolic computation. Once the solutions are found, the stability margin problem can be easily solved. For the complex kM problem, no matter how many uncertainties, there is only one polynomial system which needs to be solved in order to find all singularities to determine whether the boundary of Horowitz template intercepts the origin or not. In addition, the corresponding polynomial systems can be transformed into several zero-dimensional polynomial systems which are considered as easy problems by many mathematicians and computer scientists. Therefore, we can compute exact the complex μ efficiently by this method

Published in:

Computer-Aided Control System Design, 2000. CACSD 2000. IEEE International Symposium on

Date of Conference:

2000