Closed-loop delta-operator-based subspace identification for continuous-time systems utilising the parity space. Issue 15 (18th November 2021)

• Record Type: Journal Article
• Authors: Yu, Miao; Guo, Ge; Liu, Jianchang
• Is Part Of: International journal of systems science. Volume 52:Issue 15(2021)
• Page Start: 3323
• Page End: 3334
• Publication Date: 2021-11-18
• Subjects: Subspace identification -- closed-loop identification -- delta-operator -- principal component analysis -- parity space; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2021.1928328
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper presents a closed-loop delta-operator-based subspace identification method for continuous-time systems utilising the parity space. The continuous-time systems are transformed to the delta-operator-based state space models which converge to the original systems with the sampling period going to zero. Instead of using the observable subspace, we focus on the parity space which is commonly employed in fault detection. The system is estimated consistently by the instrumental variable method and principal component analysis, which solves the identification problems of biased results as the system operates in closed-loop due to the feedback controller. The effectiveness of the proposed method is illustrated by simulation results.