Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems

Abstract EN

A control law for retarded time-delay systems is considered, concerning infinite closed-loop spectrum assignment.

An algebraic method for spectrum assignment is presented with a unique optimization algorithm for minimization of spectral abscissa and effective shaping of the chains of infinitely many closed-loop poles.

Uncertainty of plant delays of a certain structure is considered in a sense of a robust simultaneous stabilization.

Robust performance is achieved using mixed sensitivity design, which is incorporated into the addressed control law.