Parameter Optimized Hyperstable Controllers

Abstract

A parametrization of hyperstable linear time-invariant controllers is proposed, where the free parameters are to be determined by parameter optimization in order to meet various design requirements of the closed loop system. The class of hyperstable controllers is of special importance since a control loop with hyperstable controller is guaranteed to be stable as long as the plant remains hyperstable despite of model uncertainties. As a tool for deriving hyperstable parametrizations a modified controllable canonical form is introduced, which allows a blockwise and parameter-continuous placement of eigenvalues.