Dynamical Output Feedback Control for Distributed Delay Systems

The dynamical output feedback controller design for systems with distributed delay is discussed in this paper. By neutral transformation and constructing proper Lyapunov-Krsovskii functional, the stability criterion is obtained which guarantees the asymptotical stability of closed-loop system. Then the parameterization of controller is used and the design condition of the desired controller is established in terms of Linear matrix inequality. Finally, a simulation is given to show the effectiveness of the proposed method.

[1]  K. Gu An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[2]  Shumin Fei,et al.  Improved stability analysis on delayed neural networks with linear fractional uncertainties , 2010, Appl. Math. Comput..

[3]  Youxian Sun,et al.  Novel robust stability criteria for uncertain systems with time-varying delay , 2009, Appl. Math. Comput..

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

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

[6]  Guo-Ping Liu,et al.  Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties , 2004, IEEE Transactions on Automatic Control.

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

[8]  D. Yue,et al.  Delay dependent stability of neutral systems with time delay: an LMI approach , 2003 .

[9]  Shengyuan Xu,et al.  Technical communique: New results on delay-dependent robust H∞ control for systems with time-varying delays , 2006 .

[10]  Min Wu,et al.  Augmented Lyapunov functional and delay‐dependent stability criteria for neutral systems , 2005 .

[11]  Qing-Long Han,et al.  A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems , 2008, Autom..

[12]  Myung Jin Chung,et al.  Memoryless H∞ controller design for linear systems with delayed state and control , 1995, Autom..

[13]  Shengyuan Xu,et al.  Exponential dynamic output feedback controller design for stochastic neutral systems with distributed delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[14]  M. Parlakçi Extensively augmented Lyapunov functional approach for the stability of neutral time-delay systems , 2008 .

[15]  Xingjian Xue,et al.  Robust H∞-compensator design for time-delay systems with norm-bounded time-varying uncertainties , 2000, IEEE Trans. Autom. Control..

[16]  Reinaldo M. Palhares,et al.  Delay-dependent robust H control of uncertain linear systems with lumped delays , 2005 .

[17]  Youxian Sun,et al.  A less conservative robust stability criteria for uncertain neutral systems with mixed delays , 2010, Math. Comput. Simul..

[18]  Emilia Fridman,et al.  Robust H∞ control of distributed delay systems with application to combustion control , 2001, IEEE Trans. Autom. Control..