Robust D-stability via discrete controllers for continuous time uncertain systems using LMIs with a scalar parameter

This paper addresses an alternative for the synthesis of a discrete-time stabilizing controller, taking into account requirements of D-stability via Linear Matrix Inequalities (LMIs) with a certain scalar parameter. Considering continuous time systems with polytopic uncertainty, this paper contributes with an alternative to incorporate D-stability requirements in the ∋₂ and ∋_∞ discrete-time controller synthesis from continuous-time D-stable regions via Euler´s approximation. From these design requirements, robust controllers were designed and implemented for a case study system of two cars connected through a spring.