Continuous-Time Subspace Identification with Prior Information Using Generalized Orthonormal Basis Functions

Miao Yu (), Youyi Wang, Wanli Wang and Yongtao Wei
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Miao Yu: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Youyi Wang: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Wanli Wang: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Yongtao Wei: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Mathematics, 2023, vol. 11, issue 23, 1-17

Abstract: This paper presents a continuous-time subspace identification method utilizing prior information and generalized orthonormal basis functions. A generalized orthonormal basis is constructed by a rational inner function, and the transformed noises have ergodic properties. The lifting approach and the Hambo system transform are used to establish the equivalent nature of continuous and transformed discrete-time stochastic systems. The constrained least squares method is adopted to investigate the incorporation of prior knowledge in order to further increase the subspace identification algorithm’s accuracy. The input–output algebraic equation derives an optimal multistep forward predictor, and prior knowledge is expressed as equality constraints. In order to solve an optimization problem with equality constraints characterizing the prior knowledge, the proposed method reduces the computational burden. The effectiveness of the proposed method is provided by numerical simulations.

Keywords: subspace identification; generalized orthonormal basis functions; inner function; prior information; constrained least squares (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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