Observer-based controller design for networked control systems with sensor quantisation and random communication delay

This article addresses the study of observer-based controller design for network-based control systems in the presence of output quantisation and random communication delay simultaneously. In the communication channel, the output measurement are quantised before transmission, and two kinds of network-induced delays are taken into account simultaneously: (i) random delay from sensor to controller and (ii) random delay from controller to actuator. These two types of random delays are modelled as two independent Bernoulli distributed white sequences. The observer-based controller is synthesised to stabilise the networked closed-loop system in the sense of stochastic stability. Sufficient conditions for the existence of the controller are provided by stochastic Lyapunov method. An illustrative numerical example is employed to demonstrate the applicability and flexibility of the proposed design strategy.

[1]  E. Boukas,et al.  Mode-dependent Hºº filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities. , 2007 .

[2]  Huijun Gao,et al.  ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity , 2007, IEEE Transactions on Automatic Control.

[3]  Xingyu Wang,et al.  Output-feedback control design for NCSs subject to quantization and dropout , 2009, Inf. Sci..

[4]  Shengyuan Xu,et al.  Robust H∞ control for uncertain discrete stochastic time-delay systems , 2004, Syst. Control. Lett..

[5]  B. Azimi-Sadjadi,et al.  Stability of networked control systems in the presence of packet losses , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[6]  Lixian Zhang,et al.  Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities , 2009, Autom..

[7]  E. Boukas,et al.  Stability and Stabilization of Markovian Jump Linear Systems with Partly Unknown Transition Probabilities , 2008 .

[8]  Peng Shi,et al.  Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay , 1999, IEEE Trans. Autom. Control..

[9]  Fuwen Yang,et al.  Observer-based networked control for continuous-time systems with random sensor delays , 2009, Autom..

[10]  Zehui Mao,et al.  A fault-tolerant control framework for a class of non-linear networked control systems , 2009, Int. J. Syst. Sci..

[11]  Peng Shi,et al.  Robust filtering for jumping systems with mode-dependent delays , 2006, Signal Process..

[12]  Peng Shi,et al.  H ∞ control of non-linear dynamic systems: a new fuzzy delay partitioning approach , 2009 .

[13]  E. Boukas,et al.  H∞ control of switched linear discrete‐time systems with polytopic uncertainties , 2006 .

[14]  Peng Shi,et al.  Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $ , 2010, IEEE Transactions on Automatic Control.

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

[16]  Wen-an Zhang,et al.  Output feedback guaranteed cost control of networked linear systems with random packet losses , 2010, Int. J. Syst. Sci..

[17]  Huijun Gao,et al.  I filtering for 2D Markovian jump systems , 2008, Autom..

[18]  Hongyi Li,et al.  Robust exponential stability for delayed uncertain Hopfield neural networks with Markovian jumping parameters , 2008 .

[19]  Huijun Gao,et al.  A New Approach to Robust H∞ Filtering for Uncertain Systems with Both Discrete and Distributed Delays , 2007 .

[20]  Yugang Niu,et al.  Stabilization of Markovian jump linear system over networks with random communication delay , 2009, Autom..

[21]  Bing Chen,et al.  Robust Stability for Uncertain Delayed Fuzzy Hopfield Neural Networks With Markovian Jumping Parameters , 2009, IEEE Trans. Syst. Man Cybern. Part B.

[22]  Wen-an Zhang,et al.  ESTIMATOR-BASED CONTROL OF NETWORKED SYSTEMS WITH PACKET-DROPOUTS , 2010 .

[23]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[24]  Yugang Niu,et al.  Robust Filtering Design for Stochastic System With Mode-Dependent Output Quantization , 2010, IEEE Transactions on Signal Processing.

[25]  Lixian Zhang,et al.  Mode-dependent Hinfinity filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities , 2009, Autom..

[26]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[27]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[28]  Huijun Gao,et al.  Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control , 2008, IEEE Transactions on Automatic Control.

[29]  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).

[30]  James Lam,et al.  Fault Detection for Fuzzy Systems With Intermittent Measurements , 2009, IEEE Transactions on Fuzzy Systems.

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

[32]  Donghua Zhou,et al.  Networked fault detection with random communication delays and packet losses , 2008, Int. J. Syst. Sci..

[33]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[34]  Qing-Long Han,et al.  Delay-dependent H ∞ control of linear discrete-time systems with an interval-like time-varying delay , 2008, Int. J. Syst. Sci..

[35]  James Lam,et al.  Stability and Stabilization of Delayed T--S Fuzzy Systems: A Delay Partitioning Approach , 2009, IEEE Transactions on Fuzzy Systems.