Weak Control Approach to Consumer-Preferred Energy Management

TL;DR

This paper proposes a weak control framework for community energy management that balances consumer preferences with system stability, using set-valued control signals and internal model control to ensure robust performance.

Contribution

It introduces a novel weak control approach with set-valued signals and an internal model control structure for consumer-preferred energy management systems.

Findings

The proposed controller guarantees system stability regardless of consumer choices.

Numerical experiments demonstrate the effectiveness of the control design.

The approach effectively balances consumer preferences with overall demand-supply regulation.

Abstract

This paper is devoted to a consumer-preferred community-level energy management system (CEMS), in which a system manager allows consumers their selfish decisions of power-saving while regulating the overall demand-supply imbalance. The key structure of the system is to weakly control consumers: the controller sends the allowable range of the power-saving amount to each consumer, which is modeled by a set-valued control signal. Then, the consumers decide the amount in the range based on their private preference. In this paper, we address the design problem of the controller that generates the set-valued control signals. The controller structure is based on internal model control, which plays the essential role of guaranteeing the consumer-independent stability and the worst-case control performance of the overall CEMS. Finally, a numerical experiment of the consumer-preferred CEMS is performed to demonstrate the design procedure of the controller and to show its effectiveness.