Stability of nonlinear system under distributed Lyapunov-based economic model predictive control with time-delay

In industrial processes, time-delay often occurs in many operations and increases difficulty to control these dynamical systems. In this paper, we propose a distributed Lyapunov economic model predictive control (DLEMPC) method for continuous-time nonlinear systems with input time-delay. Next, we establish sufficient conditions to make the system feasible and stable under our proposed DLEMPC strategy, and bound system state in a region which contains the provided original value. Finally, a chemical process simulation is given to illustrate our theoretical results.