Interconnected structures are commonly found in process networks. In this paper, an output consensus framework is proposed for a class of continuous interconnected linear heterogeneous systems subject to disturbances and constraints. The distributed output consensus control strategy is developed by combining integral sliding mode control with model predictive control. The integral sliding mode control is designed to eliminate a class of matched disturbances. The model predictive control plays two main roles: On the one hand, it drives the system states to track the steady state values so as to achieve output consensus; on the other hand, it helps to deal with interconnections and constraints existing in systems. In the meantime, a distributed iterative algorithm is designed to acquire the system steady states. A simulation example and an experiment relating to control of systems of interconnected CSTRs are presented to validate the effectiveness and superiority of the proposed method.
Restrictions arising from the limited training data and privacy preservation make large-scale lithium-ion battery degradation trajectory prediction challenging. In this study, a novel heterogeneous federated transfer learning with knowledge distillation approach is proposed for lithium-ion battery lifetime prediction with scarce training data and privacy concerns. The approach enables each device in large-scale decentralized system to not only own its private data, but also a unique network designed based on its resource constraints. Specifically, the central server first designs its unique network according to the resource constraints of each device, and trains the network on publicly available data with entire degradation cycles, thus avoiding the high cost of collecting abundant degradation cycles. Then, the trained model is transferred to each device for collaborative training, in which the knowledge of heterogeneous models extracted by knowledge distillation is used for communication between the isolated devices, rather than the parameters in conventional federated learning. Extensive real-world datasets are leveraged to verify the effectiveness of the proposed approach. The comparison results demonstrate that the proposed method outperforms seven benchmarks. An ablation study indicates that the approach can achieve satisfactory battery residual life prediction while preserving privacy.