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

Area of Science:

• Control Engineering
• Chemical Engineering
• Nonlinear Dynamics

Background:

• Time-delays are common in industrial operations, complicating the control of dynamical systems.
• Effective control strategies are crucial for maintaining stability and performance in the presence of delays.

Purpose of the Study:

• To propose a novel distributed Lyapunov economic model predictive control (DLEMPC) method.
• To address control challenges in continuous-time nonlinear systems with input time-delay.

Main Methods:

• Development of a distributed Lyapunov economic model predictive control (DLEMPC) strategy.
• Establishment of sufficient conditions for system feasibility and stability.
• Analysis of system state bounding within a defined region.

Main Results:

• The proposed DLEMPC method ensures system feasibility and stability.
• System states are effectively bounded, remaining within a region around the initial value.
• Theoretical results are validated through a chemical process simulation.

Conclusions:

• The DLEMPC strategy provides a robust solution for controlling nonlinear systems with input time-delay.
• The method enhances system stability and state containment in industrial applications.
• Simulation results confirm the efficacy of the proposed control approach.