This analysis demonstrates sliding mode control using integro-differential equations, indicating system robustness.
The paper deals with analysis and design sliding mode control systems modeled by integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations. Sliding mode control algorithm is designed for a control system with distributed input delay. The obtained results are illustrated by numerical example.
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Andrey Polyakov (2025) studied this question.
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