LMI Pole Regions for a Robust Discrete-Time Pole Placement Controller Design

Robust pole placement in LMI regions

This paper discusses analysis and synthesis techniques for robust pole placement in LMI regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are gen...

Discrete-time Robust Pole-placement Design through Global Optimization

A robust pole placement controller design method is presented for discrete-time systems with parametric model uncertainties contained within known bounds. The design methodology is based on the minimization of a cost function by using genetic algorithms. It allows for a thorough assessment of robust performance in addition to robust stability. The effectiveness of this technique is shown for a ...

Robust Pole Pla ement in LMI Regions

Robust pole placement controller design in LMI region for uncertain and disturbed switched systems

Robust pole placement for second-order systems: an LMI approach

Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polyn...