Integral Quadratic Separation applied to polytopic systems

Slack variables technique for parameter-dependent robustness analysis of polytopic systems has emerged about ten years ago and has spread for many stability and performance problems. One of its main advantage is the simplicity of use but it has the drawback to generate LMI problems with large number of decision variables are large sized constraints. The paper is devoted to the study of ways to limit this numerical burden while controlling the conservatism. The study is lead in the context of Integral Quadratic Separation thus covering a very large class of robust performance analysis problems.