Parameter Stability MarginsfFor Polynomial Uncertainty Structures: A Polynomial Programming Approach
| Authors: | Bozorg Mohammad, The University of Yazd, Iran (Islamic Republic of)
Sherali Hanif D., Virginia Polytechnic Institute and State University, United States
Davison Edward J., University of Toronto, Canada
Delavar-Khalafi Ali, Shahrekord University, Iran (Islamic Republic of) |
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| Topic: | 2.5 Robust Control |
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| Session: | Robustness Analysis II |
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| Keywords: | Robust stability, Uncertain linear systems, Uncertain polynomials, Global optimization, Polynomial methods |
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Abstract
In this paper, LTI systems with parameter uncertainty are considered. For such systems, a method is presented for determining permissible perturbations of the parameters of the system that maintain stability (the so-called parameter stability margins) for the case in which the coefficients of the characteristic equation of the system are polynomial functions of the uncertain parameters. A globally convergent polynomial programming technique is used to solve the underlying parametric non-convex subproblems for computing the stability margins. The approach is illustrated using a four-parameter numerical example.
