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\(H_\infty\) non-fragile observer-based sliding mode control for uncertain time-delay systems. (English) Zbl 1185.93034

Summary: The problem of \(H_\infty\) sliding mode control for uncertain time-delay systems subjected to input nonlinearity is investigated. Using the sliding mode control, a robust law is established such that the reachability of the sliding surface in the state-estimation space is guaranteed, and the sufficient condition for asymptotic stability of the error system and sliding mode dynamics with disturbance attenuation level is derived via linear matrix inequality. Finally, a simulation example is presented to verify the validity of the proposed method.

MSC:

93B36 \(H^\infty\)-control
93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory
93B35 Sensitivity (robustness)
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References:

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