A toolbox for robust PID controller tuning using convex optimization

A robust PID controller design toolbox for Matlab is presented in this paper. The design is based on linearizing or convexifying the conventional non-convex constraints on the classical robustness margins or H∞ constraints. Then the existing optimization solvers can be used to compute the controller parameters. The software can be used in a wide range of controller design problems, including multi-model systems and gain-scheduled controllers. The models can be parametric or non-parametric while the software is compatible with the output data of the identification toolbox of Matlab. Three illustrative examples exhibit convenience of working with the developed commands.