Regional Pole Assignment for Constrained Input Uncertain Systems

Abstract

This paper addresses the pole assignment problem in ${\mathcal{D}_R}{\text{ - regions}}$ for input constrained uncertain systems. A robust state feedback controller is built such that: 1) the closed loop poles lie within a specified stability region; 2) the symmetric input constraints are respected. Conditions for both stability analysis and controller synthesis are given in terms of linear matrix inequality (LMIs). Simulation results are worked out to demonstrate the effectiveness of the proposed technique.