Stochastic reliable control of a class of networked control systems with actuator faults and input saturation

The stochastic reliable control problem for networked control systems (NCSs) subject to actuator failure and input saturation is investigated in this paper. In order to get the relationship between the maximum allowable consecutive packet dropouts, the packet dropout probability, the actuator failure matrix and the input saturation, a packet dropout probability dependent condition is given via linear matrix inequality (LMI) technology. Then, a suitable reliable controller is designed to ensure the closed-loop system to be exponentially mean square stable against actuator failures and input saturation. Finally, numerical examples are provided to show the effectiveness of the proposed method.

[1]  Ju H. Park,et al.  Reliable passive control for singular systems with time-varying delays , 2013 .

[2]  Dong Yue,et al.  Delay‐distribution‐dependent robust stability of uncertain systems with time‐varying delay , 2009 .

[3]  X. Ye,et al.  Brief paper Modelling and stabilisation of networked control system with packet loss and time-varying delays , 2010 .

[4]  Peng Shi,et al.  A new approach to network-based H∞ control for stochastic systems , 2012 .

[5]  Wen-an Zhang,et al.  Modelling and control of networked control systems with both network-induced delay and packet-dropout , 2008, Autom..

[6]  Junwei Lu,et al.  Observer-based H(infinity) control for networked nonlinear systems with random packet losses. , 2010, ISA transactions.

[7]  Tae H. Lee,et al.  Stochastic sampled-data control for state estimation of time-varying delayed neural networks , 2013, Neural Networks.

[8]  Yugang Niu,et al.  H∞ control for networked systems with data packet dropout , 2010 .

[9]  Fuwen Yang,et al.  Set-membership filtering for systems with sensor saturation , 2009, Autom..

[10]  Daniel W. C. Ho,et al.  Robust ${\cal H}_{\infty}$ Finite-Horizon Control for a Class of Stochastic Nonlinear Time-Varying Systems Subject to Sensor and Actuator Saturations , 2010, IEEE Transactions on Automatic Control.

[11]  Hao Shen,et al.  Robust fault-tolerant control of uncertain fractional-order systems against actuator faults , 2013 .

[12]  Min Wu,et al.  Absolute stability and stabilization for Lurie networked control systems , 2011 .

[13]  Yi-You Hou.  Reliable stabilization of networked control systems with actuator faults , 2013 .

[14]  Linda Bushnell,et al.  Stability analysis of networked control systems , 2002, IEEE Trans. Control. Syst. Technol..

[15]  James Lam,et al.  Stabilization of linear systems over networks with bounded packet loss , 2007, Autom..

[16]  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).

[17]  Jingcheng Wang,et al.  Stochastic observer-based guaranteed cost control for networked control systems with packet dropouts , 2008 .

[18]  Zheng-Guang Wu,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009, IEEE Transactions on Fuzzy Systems.

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

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

[21]  Ju H. Park,et al.  Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control , 2013, Int. J. Control.

[22]  Shengyuan Xu,et al.  Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays , 2012, J. Frankl. Inst..

[23]  Peng Shi,et al.  Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data , 2013, IEEE Transactions on Cybernetics.

[24]  Jian-Ning Li,et al.  Modelling and control of Zigbee-based wireless networked control system with both network-induced delay and packet dropout , 2013, Int. J. Syst. Sci..

[25]  Daniel W. C. Ho,et al.  Robust $H_{\infty }$ Fuzzy Output-Feedback Control With Multiple Probabilistic Delays and Multiple Missing Measurements , 2010, IEEE Transactions on Fuzzy Systems.

[26]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[27]  Zhengguang Wu,et al.  H∞ filtering for discrete-time singular systems with randomly occurring delays and sensor failures , 2012 .