Section: New Results

Parametric sub-optimal $H_{\infty }$ controllers for an optro-mechanical system

In collaboration with Safran Electronics & Defense, in [15], we studied the robust stabilization of the line of sight of a stabilized mirror system. This system can be modeled by a single-input single- output time-delay system. Due to large model uncertainties, non-parametric methods are usually too conservative. Hence, we consider here unfixed model parameters. Using an additive decomposition, we show how to compute parametric $H_{\infty }$ controllers of the time-delay model. Such a symbolic approach is interesting in the context of adaptive control and is illustrated throughout a simulation with an ideal parameter estimator.