Abstract
The concept of integral sliding mode (ISM) is revised and apllied for robustification of the mini-max multi-model optimal problem. Modified version of ISM concept ensures the insensitivity of the designed mini-max control law with respect to the matched uncertainty, starting starting from the beginning of the process and guarantees that the unmatched part of uncertainties is not amplified. Proposed ISM dynamics allows to reduce the dimension the mini-max control design problem to the space of unmatched uncertainties only, It is proved and Illustrated by numerical example that the suggested modification of the ISM dynamics does not change the optimal control and the value of performance index.
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