Mean square exponential stabilization of networked control systems with Markovian packet dropouts

This paper considers the mean square stabilization for a kind of network control system (NCS) in which there exist network-induced delay and stochastic packet dropout between sensor and controller. This kind of NCS is modelled as a Markovian switched system with two subsystems. Using the average dwell time method, we design a state feedback controller to guarantee that NCS be mean square exponentially stable. An illustrative example is provided to demonstrate the effectiveness of the proposed results.

[1]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[2]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[3]  Euntai Kim,et al.  Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: a continuous case , 2002, IEEE Trans. Fuzzy Syst..

[4]  James Lam,et al.  Static Output Feedback Stabilization: An ILMI Approach , 1998, Autom..

[5]  Johan Nilsson,et al.  Stochastic Analysis and Control of Real-Time Systems with Random Time Delays , 1996 .

[6]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

[7]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

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

[9]  Lihua Xie,et al.  Robust control of a class of uncertain nonlinear systems , 1992 .

[10]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[11]  C.T. Abdallah,et al.  Inherent issues in networked control systems: a survey , 2004, Proceedings of the 2004 American Control Conference.

[12]  Huajing Fang,et al.  Research on mean square exponential stability of networked control systems with multi-step delay , 2006 .

[13]  Yang Shi,et al.  Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains , 2009, IEEE Transactions on Automatic Control.

[14]  Amit Bhaya,et al.  Stability of asynchronous dynamical systems with rate constraints and applications , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[15]  Xi-Ming Sun,et al.  Stability analysis for networked control systems based on average dwell time method , 2010 .

[16]  Yan Bai,et al.  State Feedback Controller Design for Exponential Stability of Networked Control System , 2010 .

[17]  Guangming Xie,et al.  Stabilization of networked control systems with time-varying network-induced delay , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[18]  Tai C Yang,et al.  Networked control system: a brief survey , 2006 .

[19]  Björn Wittenmark,et al.  Stochastic Analysis and Control of Real-time Systems with Random Time Delays , 1999 .

[20]  V. Filipovic.  Exponential stability of stochastic switched systems , 2009 .

[21]  Yang Song,et al.  Robust H∞ control of discrete switched system with time delay , 2008, Appl. Math. Comput..

[22]  Ma Wei,et al.  Stochastic Stability for Networked Control Systems , 2007 .

[23]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..

[24]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .

[25]  Jing Wu,et al.  Design of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.