Identifiability of an LFT Structured Descriptor System in the Time Domain

• 成果类型: Article
• 署名作者: Zhou, Tong; Mu, Lingxia; Li, Yubing; Huang, Weichao
• 署名单位: Tsinghua University; Tsinghua University; Xi'an University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3355837
• 发表日期: 2024
• 页码: 4734-4741
• 关键词: mathematical models; Linear matrix inequalities; Time-domain analysis; Power system dynamics; Linear systems; dynamical systems; chemicals; descriptor system; global identifiability; linear fractional transformation (LFT); matrix polynomial equation; networked dynamic system (NDS); parameter identifiability

摘要

Conditions are investigated in this article for uniquely determining parameters of a descriptor system from time-domain noise-free input/output data, in which system matrices depend on its parameters through a linear fractional transformation. This model includes networked dynamic systems as its special cases. A bilinear matrix equality-based necessary and sufficient condition has been derived, which can be verified in principle for a low-dimensional system. Moreover, a computationally attractive condition is derived under the orthogonality of some transfer function matrices. These results completely remove the full-rank assumption required in the available studies. A circuit example is given to illustrate their properties.