State feedback controller design for lateral movement of a strip in hot strip rolling with input delay and actuator saturation

In this paper, a state feedback controller with actuator saturation and measurement delay for the mathematical model describing generation of lateral motion of a strip in hot rolling process is proposed. By analyzing strip dynamics and pinch roll deformation, mathematical model of lateral motion is represented. Delay dependent sufficient conditions for stability are proposed from appropriate Lyapunov-Krasoviskii functional. In addition, taking into account the saturation nonlinearities, simple conditions are suggested analyzing trajectories starting from ellipsoid which will belong to outer ellipsoid. These conditions are formulated in terms of LMI forms. Numerical results show the efficiency of proposed algorithm for reducing lateral motion of a strip.