Identification of continuous-time hybrid 'Box-Jenkins' systems with multiple unknown time delays using two-stage parameter estimation algorithm

摘要

Purpose This study/paper aims to present a separable identification algorithm for a multiple input single output (MISO) continuous time (CT) hybrid "Box-Jenkins". Design/methodology/approach This paper proposes an optimal method for the identification of MISO CT hybrid "Box-Jenkins" systems with unknown time delays by using the two-stage recursive least-square (TS-RLS) identification algorithm. Findings The effectiveness of the proposed scheme is shown with application to a simulation example. Originality/value A two-stage recursive least-square identification method is developed for multiple input single output continuous time hybrid "Box-Jenkins" system with multiple unknown time delays from sampled data. The proposed technique allows the division of the global CT hybrid "Box-Jenkins" system into two fictitious subsystems: the first one contains the parameters of the system model, including the multiple unknown time delays, and the second contains the parameters of the noise model. Then the TS-RLS identification algorithm can be applied easily to estimate all the parameters of the studied system.