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Keywords:
time-delay systems; $\beta $-exponentially stable; one-sided Lipschitz; sliding mode control; linear matrix inequality
time-delay systems; $\beta $-exponentially stable; one-sided Lipschitz; sliding mode control; linear matrix inequality
Summary:
This paper investigates sliding mode control for one-sided Lipschitz non-linear systems with time-delays and uncertainties. A suitable integral sliding surface is introduced, explicitly accounting for delay terms and distinguishing itself from existing approaches. To guarantee the $\beta$-exponential stability, a new sufficient condition is derived in the form of a linear matrix inequality. Furthermore, an appropriate sliding mode control law is developed to enforce finite-time convergence of the system states to the sliding surface and guarantee their persistence on it.
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