An improved regional stabilization method for time-delay system with actuator saturation

In this paper, the control synthesis problem of time-delay systems with actuator saturation is studied by the free-weighting matrix technique and the convex polytope idea. The improvement lies in introducing a scaling factor into the free-weighting matrix. Not only constant delays, but also internally time-varying delays for systems with actuator saturation can be handled by the new approaches. The conditions for estimating the domain of attraction of the origin are proposed in terms of linear matrix inequality. The numerical example is further presented to show the effectiveness and less conservative of the proposed methods.

[1]  Guo-Ping Liu,et al.  Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay , 2008, IEEE Transactions on Automatic Control.

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

[3]  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).

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

[5]  Jonathan P. How,et al.  Synthesizing stability regions for systems with saturating actuators , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

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

[7]  Young Soo Moon,et al.  Delay-dependent robust stabilization of uncertain state-delayed systems , 2001 .

[8]  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).

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

[10]  Emilia Fridman,et al.  A descriptor system approach to H∞ control of linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[11]  Sophie Tarbouriech,et al.  Stability regions for linear systems with saturating controls via circle and Popov criteria , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[12]  Ahmad Haidar,et al.  Delay-range-dependent control synthesis for time-delay systems with actuator saturation , 2008, Autom..

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