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TW 582

Wim Michiels
Spectrum based stability analysis and stabilization of systems described by delay differential algebraic equations

Abstract

An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations. The spectral properties of these equations are analyzed and a numerical method for computing characteristic roots and stability assessment is presented, thereby taking into account the effect of small delay perturbations on stability. Subsequently, the design of stabilizing controllers with a pre-scribed structure or order is addressed, based on a direct optimization approach. The effectiveness of the approach is illustrated with numerical examples. All algorithms have been implemented in publicly available software.

report.pdf (832K) / mailto: W. Michiels