Proposed approach simultaneously stabilizes subsystems with commensurate delays in switched systems, indicating enhanced control methods.
An approach is proposed to construct a digital controller that stabilizes a continuous switched linear interval system with commensurate delays in control under slow switchings. The stabilization approach consistently includes the construction of a switched continuously-discrete closed system with a digital controller, the transition to its discrete model, represented as a switched discrete linear interval system with modes of various orders, simultaneous stabilization of the subsystems of the resulting discrete model and the calculation of the delay time, ensuring the stability of the initial switched system, closed by the found controller.
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A. V. Il'in (2025) studied this question.
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