Real μ-Analysis by Stability Feeler

T. Matsuda, M. Kawanishi, and T. Narikiyo (Japan)

Keywords

robust control, robust stability analysis, linear systems, pa rameter space, µanalysis, Stability Feeler

Abstract

The real structured singular value µ is effective for robust stability analysis of systems with structured uncertainty. Several methods for obtaining upper bounds of µ have been proposed, however, it is difficult to obtain the true value of µ. In this paper we propose a new calculation method for an upper bound of real structured singular value µ by Sta bility Feeler, which is a new robust stability analysis tool proposed by T. Matsuda et al.. It is shown that defined up per bound and lower bound of an upper bound of µ can be calculated by using Stability Feeler. To obtain sharper up per bound of µ by using the bisection method, a method to check in which section the upper bound of µ exists is also given. Finally, we compare the result of a numerical exam ple to those obtained by the other methods including that using the robust semidefinite program (robust SDP).

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