Partial Pole Placement in LMI Region

On Pole Placement in Lmi Region for Descriptor Linear Systems

The problem of robust D admissibility analysis and admissibilization is studied for uncertain descriptor linear systems. Two classes of uncertainties are considered in this paper, i.e., the norm bounded uncertainty and the polytopic uncertainty. With the introduction of some free matrices, a new necessary and sufficient condition for the considered descriptor linear system to be D admissible is...

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...

Robust Pole Placement in a Lmi Region for Takagi-sugeno Models: Application to Vehicle Spacing Control

Robust pole placement in a LMI region for Takagi-Sugeno (Takagi & Sugeno 1985) fuzzy models is presented. The objective is to find a set of Linear Matrix Inequalities in order to ensure that the linear models poles remain in a specified region of the complex plane, even in presence of model uncertainties. As an illustration, the obtained conditions are applied to the spacing policy control of a...

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...