Delay-range-dependent control synthesis for time-delay systems with actuator saturation

The control synthesis problem for a class of linear time-delay systems with actuator saturation is investigated in this paper. The time delay is considered to be time-varying and has lower and upper bounds. A delay-range-dependent approach is adopted and the corresponding existence conditions of the stabilizing state-feedback controller are derived in terms of LMIs. An estimate for the domain of attraction of the origin can be obtained for the underlying systems with different time-delay ranges. Two numerical examples are presented to show the effectiveness and less conservatism of the developed theoretical results.

[1]  Emilia Fridman,et al.  Regional stabilization and H∞ control of time‐delay systems with saturating actuators , 2003 .

[2]  Peng Shi,et al.  H ∞ output-feedback control for switched linear discrete-time systems with time-varying delays , 2007, Int. J. Control.

[3]  Qing-Long Han,et al.  On Hinfinity control for linear systems with interval time-varying delay , 2005, Autom..

[4]  Said Oucheriah.  Synthesis of Controllers for Time-Delay Systems Subject to Actuator Saturation and Disturbance , 2003 .

[5]  PooGyeon Park,et al.  A delay-dependent stability criterion for systems with uncertain time-invariant delays , 1999, IEEE Trans. Autom. Control..

[6]  Sophie Tarbouriech,et al.  Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs , 2000, IEEE Trans. Autom. Control..

[7]  Tingshu Hu,et al.  Analysis and design for discrete-time linear systems subject to actuator saturation , 2002, Syst. Control. Lett..

[8]  Vladimir L. Kharitonov,et al.  On the stability of linear systems with uncertain delay , 2003, IEEE Trans. Autom. Control..

[9]  Qing-Guo Wang,et al.  Delay-range-dependent stability for systems with time-varying delay , 2007, Autom..

[10]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[11]  Huijun Gao,et al.  Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay , 2004 .

[12]  Tingshu Hu,et al.  Stability analysis of linear time-delay systems subject to input saturation , 2002 .

[13]  El-Kebir Boukas,et al.  Deterministic and Stochastic Time-Delay Systems , 2002 .

[14]  E. Boukas,et al.  Robust l2-l filtering for switched linear discrete time-delay systems with polytopic uncertainties , 2007 .

[15]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..