Fatima El Haoussi and El Houssaine Tissir. Delay and Its Time-derivative Dependent Robust Stability of Uncertain Neutral Systems with Saturating Actuators. International Journal of Automation and Computing, vol. 7, no. 4, pp. 455-462, 2010. DOI: 10.1007/s11633-010-0527-3
Citation: Fatima El Haoussi and El Houssaine Tissir. Delay and Its Time-derivative Dependent Robust Stability of Uncertain Neutral Systems with Saturating Actuators. International Journal of Automation and Computing, vol. 7, no. 4, pp. 455-462, 2010. DOI: 10.1007/s11633-010-0527-3

Delay and Its Time-derivative Dependent Robust Stability of Uncertain Neutral Systems with Saturating Actuators

  • This note concerns the problem of the robust stability of uncertain neutral systems with time-varying delay and saturating actuators.The system considered is continuous in time with norm bounded parametric uncertainties.By incorporating the free weighing matrix approach developed recently,some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) with some tuning parameters are obtained.An estimate of the domain of attraction of the closed-loop system under a priori designed controller is proposed.The approach is based on a polytopic description of the actuator saturation nonlinearities and the LyapunovKrasovskii method.Numerical examples are used to demonstrate the effectiveness of the proposed design method.
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