Delay-dependent robust H∞ control for uncertain stochastic time-delay system

International Journal of Systems Science

Volumn 39, Issue 12, 2008, Pages 1139-1152

  Xia, Yuanqing ^a   Qiu, Jiqing ^b   Zhang, Jinhui ^a   Gao, Zhifeng ^b   Wang, Jianfei ^c  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

H control; Linear matrix inequalities (LMIs); Norm bounded uncertainties; Stochastic system; Time delay

Indexed keywords

CONTROL THEORY; FEEDBACK; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUST CONTROL; STATE FEEDBACK; SWITCHING SYSTEMS; TIME DELAY; UNCERTAIN SYSTEMS;

ADMISSIBLE PARAMETERS; ASYMPTOTICALLY STABLES; CONTROL LAWS; DELAY DEPENDENTS; DISTURBANCE INPUTS; FEEDBACK CONTROL LAWS; LINEAR MATRIX INEQUALITIES (LMIS); LINEAR MATRIX INEQUALITIES APPROACHES; LOOP SYSTEMS; MEAN SQUARES; NORM-BOUNDED UNCERTAINTIES; NUMERICAL EXAMPLES; PARAMETRIC UNCERTAINTIES; REAL TIMES; ROBUST H; STABILISATION; STOCHASTIC SYSTEM; STOCHASTIC TIME-DELAY SYSTEMS; SUFFICIENT CONDITIONS;

DELAY CONTROL SYSTEMS;

EID: 55749103400     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720802088256     Document Type: Article

References (18)

1. Basin, M., and Rodkina, A. (2005), "On Delay-dependent Stability for a Class of Non-linear Stochastic Delay-difference Equations," Dynamics of Continuous, Discrete and Impulsive Systems, 12(5), 663-675.
2. Basin, M., and Rodkina, A. (2007), "On Delay-dependent Stability for a Class of Non-linear Stochastic Systems with Multiple State Delays," Nonlinear Analysis: Theory, Methods & Applications, 47(68), 2147-2157.
3. Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V. (1994), Linear Matrix Inequalities in Systems and Control Theory, Philadelphia: SIAM.
4. Chen, W.-H, Guan, Z.-H, and Lu, X. (2005), "Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Multiple Delays: An LMI Approach," System and Control Letters, 54(6), 547-555.
5. Fridman, E., and Shaked, U. (2002), "An Improved Stabilisation Method for Linear Time-delay Systems," IEEE Transactions on Automatic Control, 47, 1931-1937.
6. Gao, H., Lam, J., and Wang, C. (2006), "Robust Energy-to-peak Filter Design for Stochastic Time-delay Systems," Systems and Control Letters, 55(2), 101-111.
7. Gao, H., Wang, C., and Zhao, L. (2003), "Comments on an LMI-based Approach for Robust Stabilisation of Uncertain Stochastic Systems with Time-varying Delays," IEEE Transactions on Automatic Control, 48(11), 2073-2074.
8. Li, X., and de Souza, C.E. (1997), "Delay-dependent Robust Stability and Stabilisation of Uncertain Linear Delay Systems: A Linear Matrix Inequality," IEEE Transactions on Automatic Control, 40, 1144-1148.
9. Lu, C.-Y, Tsai, J.-S.H, long, G.-J, and Su, T.-J (2003), "An LMI-based Approach for Robust Stabilisation of Uncertain Stochastic Systems with Time-varying Delays," IEEE Transactions on Automatic Control, 48(2), 286-289.
10. Moon, Y.S., Park, P., Kwon, W.H., and Lee, Y.S. (2001), "Delay-dependent Robust Stabilisation of Uncertain State-delayed Systems," International Journal of Control, 74, 1447-1455.
11. Rodkina, A., and Basin, M. (2007a), "On Delay-dependent Stability for a Class of Non-linear Stochastic Delay-differential Equations," Mathematics of Control, Signals and Systems, 18(2), 187-197.
12. Rodkina, A., and Basin, M. (2007b), "On Delay-dependent Stability for Vector Non-linear Stochastic Delay-difference Equations with Volterra Diffusion Term," Systems and Control Letters, 56(6), 423-430.
13. Shi, P., Mahmoud, M.S., Yi, J., and Ismail, A. (2006), "Worst Case Control of Uncertain Jumping Systems with Multi-state and Input Delay Information," Information Sciences, 176(2), 186-200.
14. Sun, X.-M, Zhao, J., and Wang, W. (2007), "Two Design Schemes for Robust Adaptive Control of a Class of Linear Uncertain Neutral Delay Systems," International Journal of Innovative Computing, Information and Control, 3(2), 385-396.
15. ∞ Control for Uncertain Stochastic Systems with State Delay," IEEE Transactions on Automatic Control, 47(12), 2089-2094.
16. ∞ Control of Uncertain Neutral Stochastic Time-delay Systems," Journal of Mathematical Analysis and Applications, 314(1), 1-16.
17. Yue, D., and Han, Q.-L (2005), "Delay-dependent Exponential Stability of Stochastic Systems with Time-varying Delays, Nonlinearities and Markovian Jump Parameters," IEEE Transactions on Automatic Control, 50(2), 217-222.
18. Yue, D., and Won, S. (2001), "Delay-dependent Robust Stability of Stochastic Systems with Time Delay and Nonlinear Uncertainties," IEE Electronics Letters, 37(15), 992-993.