Integrated System Design with PID Controllers via LMIs

Integrated design is based on the idea of including dynamic constraints such as stability or controllability, on the early stages of process design. Hence not only the system parameters are calculated but also a controller. In this work we present a methodology to integrated design that allows to compute the optimal parameters of the system, along with its controller, in this case a PID. The system to design may be non-linear with non-linear constraints. To compute the controller we use LMIs and the controller calculated is robust since some uncertainty may be explicitly considered on the plant model. The methodology is applied to a non-linear hydraulic system where several case studies are performed and evaluated