This paper considers a new nons in gular "terminal" sliding mode control design for a double integrator. Phase portrait analysis for the closed-loop system is presented while estimating the convergence time to the origin. In addition, by the nature of the weighted homogeneity of the vector field, a strict Lyapunov function is also constructed for this finite-time control design based on a weak one. The simulation results validate the theoretical results.
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Song et al. (2024) studied this question.
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