Robust Pole Pla ement in LMI Regions

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 for Fuzzy Models with Parametric Uncertainties: An LMI Approach

This paper deals with analysis and synthesis techniques for robust pole placement in Linear Matrix Inequality (LMI) regions. The class of systems considered here is the continuous TakagiSugeno (T-S) fuzzy models with parametric uncertainties. Sufficient stability conditions are established for this class of systems. These constraints make it possible to robustly assign the closed-loop poles in ...

The E e t of Pla ement on Yield for Standard Cell Designs

The ability to improve the yield of integrated ir uits through layout modi ation has been re ognized and several te hniques for yield enhan ed routing and ompa tion have been developed. Yield improvement during routing is however, limited by the predetermined pla ement. It is on eivable therefore, that di erent pla ements of the modules (e.g., standard or ustom ells) may lead to very di erent y...

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...

A Combinatorial Approa h to Orthogonal Pla ement Problems