Abstract
This chapter is devoted to the stabilization of linear time-delay systems containing saturating actuators. Independent delay conditions and delay dependent conditions are derived. These conditions are given under LMI formalism. Hence, less conservative stabilizability conditions are deduced. First, the partitioning of the time-delay interval onto r sub-intervals enables one to introduce delay independent less conservative conditions. Second, an improved delay dependent stabilizability condition is proposed. Stabilization conditions are worked out to obtain the stabilizability conditions enabling one to design the stabilizing memoryless state feedback. Hence, these lasts are easily obtained as the solution to optimization problems via LMIs. Examples are given in both cases to show the applicability of the obtained conditions.
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Benzaouia, A., Mesquine, F., Benhayoun, M. (2018). Delay Systems with Saturating Control. In: Saturated Control of Linear Systems. Studies in Systems, Decision and Control, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-65990-9_9
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DOI: https://doi.org/10.1007/978-3-319-65990-9_9
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