LMIs in Control/pages/Reachable set polytopic

Reachable sets with unit-energy inputs; Polytopic uncertainty A Reachable set is a set of system States reached under the condition . On this page we will look at the problem of finding an controller , that contains - reachable set. The System Where: In case of polytopic uncertainty, we have: Reachable set The reachable set can be defined: The elipsoid contains The Data The matrices . And The Optimization Problem The following optimization problem should be solved: Conclusion: This LMI allows us to investigate stability for the robust control problem in the case of polytopic uncertainty and gives on the controller for this case Implementation: - Matlab implementation using the YALMIP framework and Mosek solver Related LMIs: Reachable sets with unit-energy inputs; Norm-bound uncertainty Reachable sets with unit-energy inputs; Diagonal Norm-bound uncertainty Quadratic polytopic stabilization External Links A list of references documenting and validating the LMI. LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet. LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. (3.20.2 page 64) LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd. Return to Main Page: Main Page.