“…Mehta and Majhi [28] used a relay with hysteresis to identify the Wiener model with only a critically damped linear subsystem; they used a simple state‐space‐based technique. Hanjalić and Jurić [29] used a frequency‐domain approach to identify the Wiener model, where the relay is used in the feedback path instead of the conventional feed‐forward path.…”
Section: Introductionmentioning
confidence: 99%
“…The success of relay feedback in identifying linear models and the sparse exploration of it in identifying non‐linear models primarily motivated this work. Looking at all the literatures that attempt at identifying Wiener models using relay feedback [9, 25, 26, 28, 29], not much has been explored; they are mostly using frequency‐domain approaches, requires more than one tests, i.e. tedious and time taking, some are not suitable for online identification, assumed restrictive linear subsystems (overdamped/critically damped or first order).…”
Wiener model belongs to a broad class of non-linear model structures called the block-oriented models. Various chemical, biological and electrical processes can be represented as a Wiener structure. There are vast numbers of approaches to identify the Wiener model; however, most of them are only theoretically sound. Therefore, there is a need for developing an industrial grade, simple identification scheme. The present research work attempts to explore the possibility of identifying Wiener models using relay feedback identification technique, which has been applied efficiently but limited mostly to linear structures. Here, the authors consider not all but wider probable cases of the linear subsystem, which include real roots, complex conjugate roots, first-order, integrating second-order and repeated roots. The proposed method is simple and requires less prior knowledge about the system. The technique being somehow general can be applied effectively to linear and unstable systems as well. Various simulation examples are used to demonstrate the efficacy of the proposed identification scheme.
“…Mehta and Majhi [28] used a relay with hysteresis to identify the Wiener model with only a critically damped linear subsystem; they used a simple state‐space‐based technique. Hanjalić and Jurić [29] used a frequency‐domain approach to identify the Wiener model, where the relay is used in the feedback path instead of the conventional feed‐forward path.…”
Section: Introductionmentioning
confidence: 99%
“…The success of relay feedback in identifying linear models and the sparse exploration of it in identifying non‐linear models primarily motivated this work. Looking at all the literatures that attempt at identifying Wiener models using relay feedback [9, 25, 26, 28, 29], not much has been explored; they are mostly using frequency‐domain approaches, requires more than one tests, i.e. tedious and time taking, some are not suitable for online identification, assumed restrictive linear subsystems (overdamped/critically damped or first order).…”
Wiener model belongs to a broad class of non-linear model structures called the block-oriented models. Various chemical, biological and electrical processes can be represented as a Wiener structure. There are vast numbers of approaches to identify the Wiener model; however, most of them are only theoretically sound. Therefore, there is a need for developing an industrial grade, simple identification scheme. The present research work attempts to explore the possibility of identifying Wiener models using relay feedback identification technique, which has been applied efficiently but limited mostly to linear structures. Here, the authors consider not all but wider probable cases of the linear subsystem, which include real roots, complex conjugate roots, first-order, integrating second-order and repeated roots. The proposed method is simple and requires less prior knowledge about the system. The technique being somehow general can be applied effectively to linear and unstable systems as well. Various simulation examples are used to demonstrate the efficacy of the proposed identification scheme.
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