Robust H ∞ Disturbance Attenuation for Uncertain Discrete-Time Systems with Time-Varying Delay
作者： Jun Yoneyama , Masatoshi Hara
DOI:
关键词: Discrete time and continuous time 、 Disturbance (geology) 、 Matrix method 、 Control theory 、 Engineering 、 Slack variable 、 Lyapunov function 、 Weighting 、 H-infinity methods in control theory 、 Attenuation
摘要: This paper discusses robust H∞ disturbance attenuation of uncertain discrete-time systems that have time-varying delay in state. There been only a few results on for systems. Especially, class appeared the literature. Therefore, study is very important problem. We first obtain an condition nominal with time varying via linear matrix inequalities (LMIs). To this end, we define new Lyapunov function and use Leibniz-Newton formula free weighting method, which reduce conservativeness unnecessary LMI slack variables our conditions. Then extend to Finally, give some numerical examples show conditions are less conservative than other
m-hikari.com 参考文章(16)
Magdi S. Mahmoud, Robust Control and Filtering for Time-Delay Systems ,(2000)
LIHUA XIE, Output feedback H∞ control of systems with parameter uncertainty International Journal of Control. ,vol. 63, pp. 741- 750 ,(1996) , 10.1080/00207179608921866
Jun Yoneyama, Takuo Tsuchiya, New delay-dependent conditions on robust stability and stabilisation for discrete-time systems with time-delay International Journal of Systems Science. ,vol. 39, pp. 1033- 1040 ,(2008) , 10.1080/00207720802088116
H. Gao, C. Wang, J. Lam, Y. Wang, Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay IEE Proceedings - Control Theory and Applications. ,vol. 151, pp. 691- 698 ,(2004) , 10.1049/IP-CTA:20040822
Shuping Ma, Chenghui Zhang, Zhaolin Cheng, Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays Journal of Computational and Applied Mathematics. ,vol. 217, pp. 194- 211 ,(2008) , 10.1016/J.CAM.2007.01.044
Huijun Gao, Tongwen Chen, New Results on Stability of Discrete-Time Systems With Time-Varying State Delay IEEE Transactions on Automatic Control. ,vol. 52, pp. 328- 334 ,(2007) , 10.1109/TAC.2006.890320
Xian-Ming Zhang, Qing-Long Han, A new finite sum inequality approach to delay-dependentH∞ control of discrete-time systems with time-varying delay International Journal of Robust and Nonlinear Control. ,vol. 18, pp. 630- 647 ,(2008) , 10.1002/RNC.1242
Emilia Fridman, U. Shaked, Delay-Dependent H∞ Control of Uncertain Discrete Delay Systems European Journal of Control. ,vol. 11, pp. 29- 37 ,(2005) , 10.3166/EJC.11.29-37
E. Fridman *, U. Shaked, Stability and guaranteed cost control of uncertain discrete delay systems International Journal of Control. ,vol. 78, pp. 235- 246 ,(2005) , 10.1080/00207170500041472
Dan Ye, Guang Hong Yang, Adaptive robust H∞ state feedback control for linear uncertain systems with time-varying delay International Journal of Adaptive Control and Signal Processing. ,vol. 22, pp. 845- 858 ,(2008) , 10.1002/ACS.1025