Abstract
This chapter deals with the problem of stability and stabilization of two-dimensional (2-D) delayed continuous systems with saturation on the control. Improved delay-dependent stability condition taken from the recent literature is first extended to the case of 2-D systems. Second, delay-dependent stabilizability condition is deduced. The synthesis of stabilizing saturating state feedback controllers for such systems is then given. A set of allowed delays for both directions of the state is computed. All involved conditions are given under LMI formalism. Examples are worked to show the effectiveness of the approach.
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Benzaouia, A., Hmamed, A., Tadeo, F. (2016). Delay-Dependent Stabilization of Two-Dimensional Delayed Systems with Saturating Control. In: Two-Dimensional Systems. Studies in Systems, Decision and Control, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-20116-0_4
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DOI: https://doi.org/10.1007/978-3-319-20116-0_4
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