New delay-dependent non-fragile H

The problem of the delay-dependent non-fragile H"~ observer-based control for a class of continuous time-delay systems is investigated in this paper. The additive gain variations under consideration are contained in both the controller gain and obhsiunserver gain. Delay-dependent criteria are derived to guarantee the stability of the non-fragile H"~ observer-based control system using the Lyapunov functional approach. The controller and observer gains are given from the LMI feasible solutions. Based on the result of this paper, the constraint of matrix equality is not necessary for designing the non-fragile H"~ observer-based controls. Computer software Matlab can be applied to solve all the proposed results. Finally, a numerical example is illustrated to show the improvement of this paper.

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

[2]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

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

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

[5]  Chang-Hua Lien,et al.  Robust observer-based control of systems with state perturbations via LMI approach , 2004, IEEE Transactions on Automatic Control.

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

[7]  Chang-Hua Lien,et al.  An efficient method to design robust observer-based control of uncertain linear systems , 2004, Appl. Math. Comput..

[8]  J. D. Chen,et al.  LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays , 2005 .

[9]  Yeong-Jeu Sun,et al.  Global stabilizability of uncertain systems with time-varying delays via dynamic observer-based output feedback , 2002 .

[10]  Da-Wei Gu,et al.  A robust state observer scheme , 2001, IEEE Trans. Autom. Control..

[11]  Jianliang Wang,et al.  Non-fragile guaranteed cost control for discrete-time uncertain linear systems , 2001, Int. J. Syst. Sci..

[12]  D. Ho,et al.  Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach , 2003 .

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

[14]  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..

[15]  Dietmar A. Salamon,et al.  On control and observation of neutral systems , 1982 .

[16]  Chien-Yu Lu,et al.  An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays , 2003, IEEE Trans. Autom. Control..

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

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

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

[20]  J. Lam,et al.  Non‐fragile guaranteed cost control for uncertain descriptor systems with time‐varying state and input delays , 2005 .

[21]  Ju H. Park,et al.  On the design of observer-based controller of linear neutral delay-differential systems , 2004, Appl. Math. Comput..

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

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

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