Nonfragile $H_{\infty}$ Control for Uncertain Neutral Systems With Time-Varying Delays via the LMI Optimization Approach

The nonfragile Hinfin control problem for a neutral system with time-varying delays is considered. Delay-dependent criteria are proposed to guarantee the stabilization and disturbance attenuation of systems. A linear matrix inequality optimization approach is used to solve the nonfragile Hinfin control problem. Nonfragile H infin control for an unperturbed neutral system is investigated first. Then, nonfragile Hinfin control for an uncertain neutral system is derived directly from the unperturbed case. Finally, two examples are illustrated to show the improvement of this correspondence

[1]  Shengyuan Xu,et al.  Robust H∞ control for uncertain linear neutral delay systems , 2002 .

[2]  C. Lien,et al.  Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems , 2003 .

[3]  Ju H. Park,et al.  LMI approach to robust H∞ filtering for neutral delay differential systems , 2004, Appl. Math. Comput..

[4]  Ju H. Park.  Robust non-fragile guaranteed cost control of uncertain large-scale systems with time-delays in subsystem interconnections , 2004, Int. J. Syst. Sci..

[5]  U. Baser,et al.  Output Feedback H∞ Control Problem for Linear Neutral Systems: Delay Independent Case , 2003 .

[6]  Z. H. Shao.  Robust stability of uncertain neutral delay systems , 2004, IEEE Transactions on Industrial Electronics.

[7]  E. Fridman,et al.  Delay-dependent stability and H ∞ control: Constant and time-varying delays , 2003 .

[8]  Jin-Hoon Kim,et al.  Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty , 2001, IEEE Trans. Autom. Control..

[9]  Shengyuan Xu,et al.  An LMI approach to guaranteed cost control for uncertain linear neutral delay systems , 2003 .

[10]  Dong Yue,et al.  An improvement on "Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty" , 2002, IEEE Trans. Autom. Control..

[11]  Shengyuan Xu,et al.  Further results on delay‐dependent robust stability conditions of uncertain neutral systems , 2005 .

[12]  Shankar P. Bhattacharyya,et al.  Robust and Non-fragile PID Controller Design , 2001 .

[13]  Z. Wu,et al.  Delay-dependent robust H/sub /spl infin// control for uncertain singular time-delay systems , 2007 .

[14]  C. Lien,et al.  Stability Conditions for a Class of Neutral Systems with Multiple Time Delays , 2000 .

[15]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[16]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[17]  De-Jin Wang,et al.  A New Approach to Delay-Dependent H ¿ Control of Linear State-Delayed Systems , 2004 .

[18]  P. Dorato,et al.  Non-fragile controller design: an overview , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[19]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[20]  H. Su,et al.  Delay-dependent robust H/sub /spl infin// control for uncertain time-delay systems , 2003 .

[21]  Emilia Fridman,et al.  New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems , 2001, Syst. Control. Lett..

[22]  Shengyuan Xu,et al.  Non-fragile positive real control for uncertain linear neutral delay systems , 2004, Syst. Control. Lett..

[23]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[24]  V. Kolmanovskii,et al.  Applied Theory of Functional Differential Equations , 1992 .

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

[26]  Shankar P. Bhattacharyya,et al.  Robust, fragile or optimal? , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).