Fixed-time distributed robust optimization for economic dispatch with event-triggered intermittent control

This paper proposes a fixed-time distributed robust optimization approach for solving economic dispatch problems. Based on an integral sliding mode control scheme, the proposed multi-agent system converges to an optimal solution to an economic dispatch problem before a fixed time. In addition, the proposed multi-agent system can suppress the disturbance in a fixed time. To reduce the cost of sliding mode controls, we propose a distributed event-triggered intermittent control which reduces the sliding mode control time by setting a control triggering rule on the basis of two boundary functions of a Lyapunov function. The simulation results of three power systems illustrate the characteristics and effectiveness of the theoretical results.