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Sliding Mode Control for A Class of Uncertain Time-Delay Systems |
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PP: 267-273 |
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Author(s) |
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Shun Hung Tsai,
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Abstract |
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| This paper investigates the stability and stabilization problems for a class of uncertain time-delay systems. For exploring the
stability problem, the Lyapunov-Krasovskii function (LKF) method and Leibniz-Newton formula are adopted to analyze the stability
problems of a class of uncertain time-delay systems. In addition, the proposed delay-dependent stability conditions for a class of
time-delay unforced systems can be formulated by linear matrix inequalities (LMIs). By examining the stabilization problem, based
on the sliding mode control scheme, some assumptions, and some transformations, the delay-dependent stabilization condition for
uncertain time-delay system is propounded to guarantee the asymptotic stabilization of uncertain time-delay system in this paper.
Moreover, based on the Schur complement formula and some variable transformations, the delay-dependent stabilization conditions
of the uncertain time-delay system can be presented in terms of linear matrix inequality (LMI) form. Finally, a numerical example is
illustrated to demonstrate the effectiveness and validity of the proposed control scheme. |
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