Abstract. A modified method for estimating parameters used in finite-time control synthesis is proposed. The object under the control is a chain of consecutively connected integrators in the presence of external disturbances and parametric uncertainties. It is assumed that the state vector is available for measurement. Results presented in the previous papers of the authors are extended. The developed method does not require the execution of additional computational procedures, such as the search for parameters on a certain numerical grid and allows to obtain the estimates of the necessary parameters analytically. Thus, the presented method is reported to simplify considerably the synthesis of a finite-time regulator.

Keywords: control parameters estimation, finite-time stability, state feedback control

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