Design of optimal PI controller with dead-zone link for low-order processes with time delay

In this paper, a design method of optimal proportional-integral (PI) controller with dead-zone link is presented for low-order processes with time delay. Closed-loop system is the nonlinear control system with the dead-zone link. The feedback system can be equivalently transformed into the linear switch system (LSS) or autonomous switch system (ASS). The optimal control problem is equivalently transformed into nonlinear constraint optimization (NLCO) problem via common Lyapunov functions (CLF) theorem and Lyapunov theorems. Therefore, optimal PI controller can be obtained by solving the NLCO problem. Simulation results show effectiveness and usefulness of theproposed design method.