2021 **Abstract:** This paper focuses on presenting a new identification algorithm to estimate the parameters and state variables for two-input two-output dynamic systems with time delay based on canonical state space models. First, the related input-output equation is determined and transformed into an identification oriented model, which does not involve in the unmeasurable states, and then a residual based least squares identification algorithm is presented for the estimations. After the parameters being estimated, the system…

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“…The proposed parameter estimation algorithms in this article are based on this identification model in (1). Many identification methods are derived based on the identification models of the systems [40][41][42][43][44][45][46] and can be used to estimate the parameters of other linear systems and nonlinear systems [47][48][49][50] and can be applied to fields [51][52][53] such as chemical process control systems. The process of calculating the estimateŝ(t) andb(t) of the weight vector and the bias term b through the NR-SVM algorithm ( 17)-( 27) is shown in Table 1.…”

confidence: 99%

“…The proposed parameter estimation algorithms in this article are based on this identification model in (1). Many identification methods are derived based on the identification models of the systems [40][41][42][43][44][45][46] and can be used to estimate the parameters of other linear systems and nonlinear systems [47][48][49][50] and can be applied to fields [51][52][53] such as chemical process control systems. The process of calculating the estimateŝ(t) andb(t) of the weight vector and the bias term b through the NR-SVM algorithm ( 17)-( 27) is shown in Table 1.…”

confidence: 99%

“…Time delay is normal in engineering practices. e data of a dynamic system are usually collected by a sensor and then transmitted via a communication channel; they may encounter time-delay due to network congestion [25,26]. For the time-delayed model identification, Chen proposed a redundant rule-based off-line algorithm that can estimate the parameters and time delay simultaneously [27].…”

confidence: 99%

“…In [26], the problem of identification of typical error variable systems has been studied, a two-step identification method based on correlation functions has been proposed and parameter estimates of the model have been roughly calculated using the least squares and instrumental variables methods. In [27], a parameter and state variable identification algorithm based on a typical state-space model is proposed for two-input, two-output systems with time delays. In [28], an online identification method is proposed to estimate both the unknown system parameters and the unknown time delay.…”

confidence: 99%