Robust stabilization of a class of nonlinear networked control systems

This paper is concerned with the robust stabilization problem for a class of networked control systems with nonlinear perturbations. The perturbations are assumed to be time-varying and satisfying quadratic constraints. Such networked control systems are modeled as systems with time-varying delays. Based on this model, observer-based controllers are designed to stabilize the nonlinear systems subject to the network-induced delay and data dropout. Sufficient conditions on existences of the stabilizing controllers are established. The controller gains can be obtained by solving a set of linear matrix inequalities. An illustrative example is given to demonstrate the effectiveness of the proposed method.

[1]  Long Wang,et al.  An LMI approach to networked control systems with data packet dropout and transmission delays , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[2]  James Moyne,et al.  Analysis and modeling of networked control systems: MIMO case with multiple time delays , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[3]  Senchun Chai,et al.  Design and stability analysis of networked control systems with random communication time delay using the modified MPC , 2006 .

[4]  Asok Ray,et al.  An observer-based compensator for distributed delays , 1990, Autom..

[5]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[6]  Guo-Ping Liu,et al.  NETWORKED PREDICTIVE CONTROL OF SYSTEMS WITH RANDOM COMMUNICATION DELAY , 2004 .

[7]  Long Wang,et al.  Sampled-data stabilisation of networked control systems with nonlinearity , 2005 .

[8]  Tongwen Chen,et al.  A new method for stabilization of networked control systems with random delays , 2005 .

[9]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[10]  Lin Huang,et al.  Robust stabilization for non-linear discrete-time systems , 2004 .

[11]  Asok Ray,et al.  Integrated Communication and Control Systems: Part I—Analysis , 1988 .

[12]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[13]  D. Ho,et al.  Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach , 2003 .

[14]  D. Siljak,et al.  Robust stability and stabilization of discrete-time non-linear systems: The LMI approach , 2001 .

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

[16]  Q. Han,et al.  State feedback controller design of networked control systems , 2004 .

[17]  Dong Yue,et al.  Network-based robust H ∞ control of systemswith uncertainty , 2005 .