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Robust and Non-fragile H Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances )
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 Title & Authors
Robust and Non-fragile H Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances )
Yang, Seung Hyeop; Paik, Seung Hyun; Lee, Jun Yeong; Park, Hong Bae;
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 Abstract
This paper provides a robust and non-fragile controller design algorithm for time-delayed systems with randomly occurring polytopic uncertainties and disturbances. First, we design time-delayed system considering randomly occurring uncertainties and disturbances. Next, The sufficient condition for the existence of robust and non-fragile controller is presented by LMI(linear matrix inequality) using Lyapunov stability analysis and performance measure. Since the obtained condition can be expressed as a PLMI(parameterized linear matrix inequality) by changes of variables and Schur complement, all solutions including controller gain, degrees of controller satisfying non-fragility, norm bound can be calculated simultaneously. Finally, numerical examples are given to illustrate the performance and the effectiveness of the proposed robust and non-fragile controller compared with the deterministic uncertainty model even though there exists randomly occurring uncertainties, disturbances and time delays.
 Keywords
Robust control;non-fragile;;randomly occurring;time-delay;
 Language
Korean
 Cited by
 References
1.
J. Qui, G. Feng, and J. Yang, "A New Design of Delay-Dependent Robust $H_{\infty}$ Filtering for Discrete-Time T-S Fuzzy Systems With Time-Varying Delay," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1044-1058, 2009. crossref(new window)

2.
Z. Wu, H. Su, and J. Chu,"$H_{\infty}$ filtering for singular Markovian jump systems with time delay," Int. J. Robust Nonlinear Control, vol. 20, no. 8, pp. 939-957, 2010.

3.
Z. Wu, H. Su, and J. Chu, "$H_{\infty}$ filtering for singular systems with time-varying delay," Int. J. Robust Nonlinear Control, vol. 20, no. 11, pp. 1269-1284, 2010.

4.
J. Lin, S. Fei, and Q. Wu, "Reliable $H_{\infty}$ Filtering for Discrete-Time Switched Singular Systems with Time-Varying Delay," Circuit Syst. Signal Process, vol. 31, no. 3, pp. 1191-1214, 2012. crossref(new window)

5.
S. Xu, J. Lam, and L. Zhang, "Robust D-stability Analysis for Uncertain Discrete Singular Systems With State Delay," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 49, no. 4, pp. 551-555, 2002. crossref(new window)

6.
J. K. Kim, S. H. Yang, Y. S. Kwon, K. H. Bang, and H. B. Park, "Robust and Non-fragile $H_{\infty}$ Decentralized Fuzzy Model Control Method for Nonlinear Interconnected System with Time Delay," Journal of the IEIE-SC, vol. 47, no. 6, pp. 64-72, 2010.

7.
L. H. Keel and S. P. Bhattacharyya, "Robust, fragile, or optimal," IEEE Trans. Automat. Contr., vol. 42, no. 8, pp. 1098-1105, 1997. crossref(new window)

8.
W. M. Haddad and J. R. Corrado, "Robust resilient dynamic controller for systems with parametric uncertainty and controller gain variations," Proc. Amer. Contr. Conf., Philadelphia, Pennsylvania, pp. 2837-2841, 1998.

9.
D. Famularo, C. T. Abdallah, A. Jadbabaie, P. Dorato, and W. M. Haddad, "Robust non-fragile LQ controllers: The static state feedback case," Proc. Amer. Contr. Conf., Philadelphia, Pennsylvania, pp. 1109-1113, 1998.

10.
A. Jadbabie, C. T. Abdallah, D. Famulraro, and P. Dorato, "Robust, non-fragile and optimal controller via linear matrix inequalities," Proc. Amer. Contr. Conf., Philadelphia, Pennsylvania, pp. 2842-2846, 1998.

11.
J. H. Kim, S. K. Lee, and H. B. Park, "Robust and non-fragile $H_{\infty}$ control of parameter uncertain time-varying delay systems," SICE, Morioka, pp. 927-932, 1999.

12.
Z. Wang, Y. Wang, and Y. Liu, "Global Synchronization for Discrete-Time Stochastic Complex Networks With Randomly Occurred Nonlinearities and Mixed Time Delays," IEEE Trans. on Neural Networks, vol. 21, no. 1, pp. 11-25, 2010. crossref(new window)

13.
Z. Wang, H. Gao, and L. K. Stergioulas, "Robust Sliding Mode Control for Discrete Stochastic Systems with Mixed Time Delays, Randomly Occurring Uncertainties, and Randomly Occurring Nonlinearities," IEEE Trans. on Industrial Electronics, vol. 59, no. 7, pp. 3008- 3015, 2012. crossref(new window)

14.
H. Dong, Z. Wang, D. W. C. Ho, and H. Gao, "Robust $H_{\infty}$ fuzzy output feedback control with multiple probabilistic delays and multiple missing measurements," IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 712-725, 2010. crossref(new window)

15.
H. Dong, Z. Wang, J. Lam, and H. Gao, "Fuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropouts," IEEE Trans. Syst., vol. 42, no. 2, pp. 365-376, 2012.

16.
B. Shen, Z. Wang, H. Shu, and G. Wei, "$H_{\infty}$ filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays," Automatica, vol. 45, no. 4, pp. 1032-1037, 2009. crossref(new window)

17.
K. H. Kim, M. J. Park, O. M. Kwon, and E. J. Cha, "Delay-dependent Robust $H_{\infty}$ Control of Uncertain Linear Systems with Time-Varying Delays and Randomly Occurring Disturbances," The Trans. of KIEE, vol. 62, no. 5, pp. 679-687, 2013.

18.
K. H. Kim, M. J. Park, and O. M. Kwon, "Reliable Control for Linear Dynamic Systems with Time-varying Delays and Randomly Occurring Disturbances," The Trans. of KIEE, vol. 63, no. 7, pp. 976-986, 2014.

19.
S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, 1994.

20.
P. Apkarian and H. D. Tuan, "Parameterized LMIs in control theory," Proc. IEEE Conf. Contr., Florida, pp. 152-157, 1998.

21.
H. D. Tuan and P. Apkarian, "Relaxations of parameterized LMIs with control applications," Int. J. of Robust Nonlinear Control, vol. 9, pp. 59-84, 1999. crossref(new window)