A MATLAB Toolbox for Finding Stabilizing Controllers for a Class of Switched Systems

This paper presents a MATLAB toolbox that computes stabilizing state feedback controllers for a class of switched systems where the system dynamics switch interchangeably between several subsystems. The subsystems considered here are restricted to second order linear systems. The toolbox finds controllers that stabilize the system under arbitrary switching, where this is ensured by first determining the existence of a common Lyapunov function. To find the common Lyapunov function, the toolbox makes use of an algorithm that is less computationally demanding compared to methods based on solving linear matrix inequalities.