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A CLOSED‐LOOP SUBSPACE IDENTIFICATION METHOD FOR CONTINUOUS‐TIME SYSTEMS BASED ON δ‐OPERATOR MODEL
Author(s) -
Huang Dongliang,
Katayama Tohru
Publication year - 2004
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2004.tb00210.x
Subject(s) - subspace topology , control theory (sociology) , identification (biology) , reduction (mathematics) , operator (biology) , system identification , state space , parametrization (atmospheric modeling) , state space representation , closed loop , model order reduction , mathematical optimization , mathematics , computer science , algorithm , engineering , control engineering , artificial intelligence , measure (data warehouse) , data mining , control (management) , projection (relational algebra) , repressor , chemistry , biology , biochemistry , geometry , quantum mechanics , transcription factor , statistics , botany , physics , gene , radiative transfer
ABSTRACT This paper is concerned with a subspace identification of a continuous‐time plant operating in closed‐loop in the framework of the joint input‐output approach. The main procedure consists of two steps. Firstly, the dual‐Youla parametrization of the plant is used for obtaining an equivalent open‐loop problem to the original closed‐loop identification problem. Then, a δ‐operator based IV‐MOESP type subspace identification algorithm is developed to estimate the state space model for the joint input‐output process, whereby a higher‐order state space model of the plant is obtained by an algebraic operation. Subsequently, a model reduction procedure is employed to derive a lower‐order plant model removing irrelevant modes from the higher order model. Simulation results by using numerical and chemical plant models demonstrate the feasibility of the proposed method.