On Consistency, Viability, and Admissibility in Constrained Ensemble and Hierarchical Control Systems

• 成果类型: Article
• 署名作者: Aschenbruck, Tim; Petzke, Felix; Rumschinski, Philipp; Streif, Stefan
• 署名单位: Technische Universitat Chemnitz
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3217925
• 发表日期: 2023
• 页码: 4990-4997
• 关键词: Constrained control; ensemble control; Linear systems; Model/controller reduction; Robust control

摘要

Several control architectures, such as decentralized, distributed, and hierarchical control, have been elaborated over the past decades for controlling systems composed of a set of subsystems. However, computational complexity and constraint satisfaction are still challenging tasks. We present an approach to control an ensemble of similar heterogeneous systems with input and state constraints via an identical control input. This control input is globally admissible and computed based on an aggregated system that reflects the overall behavior of the ensemble. To limit the computational complexity of the control task, the aggregated system is designed such that its dimension is independent of the number of subsystems. To guarantee viability, i.e., state constraint satisfaction for all times, appropriate consistency conditions are derived based on invariant set theory. The presented approach is illustrated with a numerical example.