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**:** 2022
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** :**
**:** 95
**:** .., .., .. - // . 95. .: , 2022. .6-32. DOI: https://doi.org/10.25728/ubs.2022.95.1

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** :** - , , , ,

** (.):** piecewise-constant parameters, identification, finite excitation, interval-based filtration, convergence

**:** - . , (I-DREM) . , , , I-DREM , . , , - . / .

** (.):** The research is aimed at improvement of the solution quality of the unknown piecewise-constant parameters identification problem for the classical linear regression equation. To solve this problem, a new procedure to process such equation, which is based on the known method of integral dynamic extension and mixing (I-DREM) but with the interval-based integral filter with exponential forgetting and resetting, is proposed. As proved in the paper, when the I-DREM procedure is applied, the proposed filter, unlike known from the literature, allows one to generate the regression equation with a scalar regressor and adjustable level of disturbance, which is caused by the step-like change of the unknown parameters. The main result of the study is a procedure to process a linear regression equation with a vector regressor, which allows one to derive an adaptation law. If the condition of the regressor finite excitation is met, then such a law guarantees that the identification error of the piecewise-constant parameters is bounded by an adjustable value. All of the aforementioned properties are proved analytically and/or demonstrated via the numerical experiments.

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