Robust Stability Analysis of an Uncertain Nonlinear Networked Control System Category

In the networked control system (NCS), the uncertain network-induced delay and nonlinear controlled object are the main problems, because they can degrade the performance of the control system and even destabilize it. In this paper, a class of uncertain and nonlinear networked control systems is discussed and its sufficient condition for the robust asymptotic stability is presented. Further, the maximum network-induced delay that insures the system stability is obtained. The Lyapunov and LMI theorems are employed to investigate the problem. The result of an illustrative example shows that the robust stability analysis is sufficient.

[1]  M. Branicky.  Stability of hybrid systems: state of the art , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[2]  Liu Xiangqian,et al.  Stability analysis of networked control system , 2004, Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788).

[3]  James Moyne,et al.  Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet , 2001 .

[4]  Minrui Fei,et al.  Networked learning control based on Thrice Spline predictive algorithm and Neural Network , 2004, Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788).

[5]  Wook Hyun Kwon,et al.  Scheduling Analysis for Networked Control Systems , 2001 .

[6]  Yangmin Li,et al.  Dynamic Modeling and Adaptive Neural-Fuzzy Control for Nonholonomic Mobile Manipulators Moving on a Slope , 2006 .

[7]  Lei Xie,et al.  Stability analysis of networked control system , 2002, Proceedings. International Conference on Machine Learning and Cybernetics.

[8]  Wei Zhang,et al.  Stability of networked control systems: explicit analysis of delay , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[9]  Dong-Sung Kim,et al.  Maximum allowable delay bounds of networked control systems , 2003 .

[10]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[11]  Dong-Sung Kim,et al.  A scheduling method for network-based control systems , 2002, IEEE Trans. Control. Syst. Technol..

[12]  Panos J. Antsaklis,et al.  Robust stability and disturbance attenuation analysis of a class of networked control systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[13]  Hideki Hashimoto,et al.  Position Control of Mobile Robot for Human-Following in Intelligent Space with Distributed Sensors , 2006 .