Hejun Yao
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, 455000, China
Ye Yuan
School of Mathematics and Statistics and Physics, Suzhou University of Science and Technology, Suzhou, 215009, China
Congcong Li
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, 455000, China
Ningning Wang
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, 455000, China
ABSTRACT
The problem of exponential stability non-fragile control for a class of discrete large-scale systems with delays is considered in this paper. Based on Lyapunov stability theorem and linear matrix inequality approach, a new approach is given to design the state feedback non-fragile controller. By introducing a new Lyapunov functional, a exponential stability condition is obtained in terms of linear matrix inequalities. The simulation is easier with non-fragile controller. The solutions of linear matrix inequality can be easily obtained by using linear matrix inequality Control Toolbox in MATLAB. Finally, a numerical example is given to demonstrate the validity of the results.
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How to cite this article
Hejun Yao, Ye Yuan, Congcong Li and Ningning Wang, 2013. Design of Exponential Stability Non-fragile Control of Discrete Delay Large-scale
Systems. Information Technology Journal, 12: 3442-3446.
DOI: 10.3923/itj.2013.3442.3446
URL: https://scialert.net/abstract/?doi=itj.2013.3442.3446
DOI: 10.3923/itj.2013.3442.3446
URL: https://scialert.net/abstract/?doi=itj.2013.3442.3446
REFERENCES
- Hsien, T.L. and C.H. Lee, 1995. Exponential stability of discrete time uncertain systems with time-varying delay. J. Franklin Inst., 32: 479-489.
CrossRef - Kau, S.W., Y.S. Liu, L. Hong, C.H. Lee, C.H. Fang and L. Lee, 2005. A new LMI condition for robust stability of discrete-time uncertain systems. Syst. Control Lett., 54: 1195-1203.
CrossRefDirect Link - Keel, L.H. and S.P. Bhattacharyya, 1997. Robust, fragile, or optimal? IEEE Trans. Automat. Control, 42: 1089-1105.
Direct Link - Krishnamurthy, P. and F. Khorrami, 2003. Decentralized control and disturbance attenuation for large-scale nonlinear systems in generalized output-feedback canonical form. Automatic, 39: 1923-1933.
CrossRef - Kwon, O.M. and J.H. Park, 2004. On improved delay-dependent robust control for uncertain time-delay systems. IEEE Trans. Automat. Control, 49: 1991-1995.
Direct Link - Park, J.H., 2004. Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations. Applied Math. Comput., 149: 147-164.
CrossRefDirect Link - Shyu, K.K., W.J. Liu and K.C. Hsu, 2005. Design of large-scale time-delayed systems with dead-zone input via variable structure control. Automatica, 41: 1239-1246.
CrossRefDirect Link - Wu, H., 2002. Decentralized adaptive robust control for a class of large-scale systems including delayed state perturbations in the interconnections. IEEE Trans. Automatic Control, 47: 1745-1751.
CrossRefDirect Link - Xu, S.Y., J. Lam, J.L. Wang and G.H. Yang, 2004. Non-fragile positive real control for uncertain linear neutral delay systems. Syst. Control Lett., 53: 59-74.
CrossRef - Yang, G.H., J.L. Wang and C. Lin, 2000. H8 control for linear systems with additive controller gain variations. Int. J. Control, 73: 1500-1506.
CrossRef