Robust stabilization of switched two-tank system model via state feedback PI controller

This paper studies the problem of robust stabilization of discrete time switched systems. The stabilization conditions are written as linear matrix inequalities. Using the polyquadratic Lyapunov approach provides a way to design robust stabilizing control of switched system. This control design approach is considered for both state and output feedback cases and illustrated on an example model of switched two-tank system. Integral part of controller is used for tracking reference trajectory.