Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2011.17.2.139

Intelligent Controller for Networked Control Systems with Time-delay  

Bae, Gi-Sun (Kunsan National University)
Joo, Young-Hoon (Kunsan National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.17, no.2, 2011 , pp. 139-144 More about this Journal
Abstract
We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.
Keywords
fuzzy modeling; TSK fuzzy model; non-linear system;
Citations & Related Records
연도 인용수 순위
  • Reference
1 L. Xiao, A. Hassibi, and J. P. How, “Control with random communication delays via a discrete-time jump linear system approach,” Proc. 2000 Amer. Control Conf., vol. 3, pp. 2199-2204, 2000.
2 G. Xie and L. Wang, “Stabilization of networked control systems with time-varying network- induced delay,” Proc. 43rd IEEE Conf. Decision Control, pp. 3551–556, 2004.
3 R. Krtolica, U. Ozguner, H. Chan, H. Goktas, J. Winkelman, and M. Liubakka, “Stability of linear feedback systems with random communication delays,” Int. J. Control, vol. 59, no. 4, pp. 925-53, 1994.   DOI
4 M. Yu, L. Wang, T. Chu, and F. Hao, “An LMI approach to networked control systems with data packet dropout and transmission delays,” Proc. 43rd IEEE Conf. Decision and Control, pp. 3545-3550, 2004.
5 H. Lin, G. Zhai, and P. J. Antsaklis, “Robust stability and disturbance attenuation analysis of a class of networked control systems,” Proc. 42nd IEEE Conf. Decision and Control, Maui, HI, pp. 1182-187, 2003.
6 L. Zhang, Y. Shi, T. CHen, and B. Huang, “A new method for stabbilization of networked control systems with random delays,” IEEE Trans. on Autom. Control, vol. 50, no. 8, pp. 1177-1181, 2005.   DOI
7 J. Nilsson, B. Bernhardsson, and B. Wittenmark, “Stochastic analysis and control of real-time systems with random time delays,” Automatica, vol. 34, no. 1, pp. 57-64, 1998.   DOI
8 G. C. Walsh, H. Ye, and L. G. Bushnell, “Stability analysis of networked control systems,” IEEE Trans. on Control Syst. Technol., vol. 10, no. 3, pp. 438-446, Mar. 2002.   DOI
9 S. Hu and W. Zhu, “Stochastic optimal control and analysis of stability of networked control systems with long delay,” Automatica, vol. 39, pp. 1877-1884, 2003.   DOI
10 W. Zhang, M. S. Branicky, and S. M. Phillips, “Stability of networked control systems,” IEEE Control Syst. Mag., vol. 21, no. 2, pp. 84-89, Feb. 2001.   DOI