H∞ control for networked systems with multiple packet dropouts

In this paper, we present a novel H"~ control scheme for a networked control system (NCS) with multiple data packet dropouts. Multiple data packet dropouts occur randomly in both control channel and measurement channel. The NCS with both measurement and control packet dropouts is modeled as a stochastic parameter system which contains two independent Bernoulli distributed white sequences. An H"~ dynamic output controller is designed to exponentially stabilize the networked system in the sense of mean square, and also to achieve the prescribed H"~ disturbance attenuation level. An iterative algorithm is developed to compute the optimal H"~ disturbance attenuation and the controller parameters by solving the semi-definite programming problem via an interior-point approach. Two illustrative examples are provided to show the applicability of the proposed method.

[1]  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.

[2]  Guo-Ping Liu,et al.  Filtering for Discrete-Time Networked Nonlinear Systems With Mixed Random Delays and Packet Dropouts , 2011, IEEE Transactions on Automatic Control.

[3]  Qiaowen Hong,et al.  H-infinity Output Tracking Control for Networked Systems with Multiple Packet Dropouts , 2010, 2010 International Conference on Measuring Technology and Mechatronics Automation.

[4]  Dietmar Dietrich,et al.  A New Model for Autonomous, Networked Control Systems , 2007, IEEE Transactions on Industrial Informatics.

[5]  Tong Heng Lee,et al.  An improvement on multivariable PID controller design via iterative LMI approach , 2004, Autom..

[6]  Ali Saberi,et al.  Control of Linear Systems with Regulation and Input Constraints , 2000 .

[7]  D. Hinrichsen,et al.  H 1 TYPE CONTROL FOR DISCRETE-TIME STOCHASTICSYSTEMSA , 1999 .

[8]  D. Hinrichsen,et al.  H∞-type control for discrete-time stochastic systems , 1999 .

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

[10]  Zidong Wang,et al.  Technical Notes and Correspondence Robust Control With Missing Measurements and Time Delays , 2007 .

[11]  Raja Sengupta,et al.  An H/sub /spl infin// approach to networked control , 2005, IEEE Transactions on Automatic Control.

[12]  Lihua Xie,et al.  Optimal linear estimation for systems with multiple packet dropouts , 2008, Autom..

[13]  Tongwen Chen,et al.  Optimal ${\cal H}_{2}$ Filtering in Networked Control Systems With Multiple Packet Dropout , 2007, IEEE Transactions on Automatic Control.

[14]  Friedemann Leibfritz,et al.  An LMI-Based Algorithm for Designing Suboptimal Static H2/Hinfinity Output Feedback Controllers , 2000, SIAM J. Control. Optim..

[15]  Fuwen Yang,et al.  Robust $H_{\infty}$ Control for Networked Systems With Random Packet Losses , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  T. Tarn,et al.  Observers for nonlinear stochastic systems , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[17]  Huijun Gao,et al.  Network-based feedback control for systems with mixed delays based on quantization and dropout compensation , 2011, Autom..

[18]  Ligang Wu,et al.  Sensor Networks With Random Link Failures: Distributed Filtering for T–S Fuzzy Systems , 2013, IEEE Transactions on Industrial Informatics.

[19]  Guang-Hong Yang,et al.  Output tracking control for networked control systems with time delay and packet dropout , 2008, Int. J. Control.

[20]  Andrey V. Savkin,et al.  Optimal control of networked systems via asynchronous communication channels with irregular delays , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[21]  Heinz Schättler,et al.  Time-stamped model predictive control: an algorithm for control of processes with random delays , 2004, Comput. Chem. Eng..

[22]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

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

[24]  Stephen P. Boyd,et al.  Semidefinite Programming , 1996, SIAM Rev..

[25]  Özgür Gürbüz,et al.  Wireless Model-Based Predictive Networked Control System Over Cooperative Wireless Network , 2011, IEEE Transactions on Industrial Informatics.

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

[27]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[28]  N. Tsai,et al.  Stochastic optimal control under randomly varying distributed delays , 1997 .

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

[30]  Ilya V. Kolmanovsky,et al.  Optimal control of continuous-time linear systems with a time-varying, random delay , 2001, Syst. Control. Lett..

[31]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[32]  Ali H. Sayed,et al.  Multiobjective filter design for uncertain stochastic time-delay systems , 2004, IEEE Transactions on Automatic Control.

[33]  Hao Ye,et al.  Fault diagnosis of networked control systems , 2007, Annu. Rev. Control..

[34]  Panos J. Antsaklis,et al.  Control and Communication Challenges in Networked Real-Time Systems , 2007, Proceedings of the IEEE.

[35]  Fuwen Yang,et al.  Robust $H_{\infty }$ Control With Missing Measurements and Time Delays , 2007, IEEE Transactions on Automatic Control.

[36]  Yongduan Song,et al.  A Novel Control Design on Discrete-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delays , 2013, IEEE Transactions on Fuzzy Systems.

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

[38]  Graham C. Goodwin,et al.  A moving horizon approach to Networked Control system design , 2004, IEEE Transactions on Automatic Control.

[39]  Asok Ray,et al.  Output Feedback Control Under Randomly Varying Distributed Delays , 1994 .

[40]  Umit Ozguner,et al.  Stability of linear feedback systems with random communication delays , 1994 .

[41]  Sirish L. Shah,et al.  Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations , 2007, Int. J. Control.

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

[43]  Ligang Wu,et al.  Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems , 2012, Autom..