Filter design, fault estimation and reliable control for networked time-varying systems: a survey

ABSTRACT This paper is concerned with the overview of the recent progress in filter design, fault estimation and reliable control for networked time-varying systems (NTVSs). Firstly, the concepts of the NTVS, incomplete information, filtering, estimation and control have been introduced. Secondly, the incomplete information phenomena are considered include, but not limited to, communication delays, measurement losses, actuator/sensor faults, signal quantizations and randomly occurring uncertainties. Subsequently, the developments as well as some recent results on filter design, fault estimation and reliable control are reviewed for NTVSs subject to incomplete information in great detail. Finally, conclusions are given and some possible future research directions are pointed out concerning the filtering, estimation and control problems.

[1]  James Lam,et al.  Non-Fragile Exponential Stability Assignment of Discrete-Time Linear Systems With Missing Data in Actuators , 2009, IEEE Transactions on Automatic Control.

[2]  Christopher Edwards,et al.  Robust decentralized actuator fault detection and estimation for large-scale systems using a sliding mode observer , 2008, Int. J. Control.

[3]  Ben M. Chen,et al.  An Output Feedback Controller Design for Linear Systems Subject to Sensor Nonlinearities , 2003 .

[4]  Bing Chen,et al.  Reliable control design of fuzzy dynamic systems with time-varying delay , 2004, Fuzzy Sets Syst..

[5]  Shengyuan Xu,et al.  Observer-Based Adaptive Neural Network Control for Nonlinear Stochastic Systems With Time Delay , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Guoliang Wei,et al.  A gain-scheduled approach to fault-tolerant control for discrete-time stochastic delayed systems with randomly occurring actuator faults , 2013 .

[7]  J. Ackermann Robustness against sensor failures , 1984, Autom..

[8]  Zidong Wang,et al.  Fuzzy Filtering With Randomly Occurring Parameter Uncertainties, Interval Delays, and Channel Fadings , 2014, IEEE Transactions on Cybernetics.

[9]  Khashayar Khorasani,et al.  Simultaneous fault detection and consensus control design for a network of multi-agent systems , 2016, Autom..

[10]  Fuad E. Alsaadi,et al.  Receding horizon filtering for a class of discrete time-varying nonlinear systems with multiple missing measurements , 2015, Int. J. Gen. Syst..

[11]  Zidong Wang,et al.  Finite-horizon H∞ fault estimation for linear discrete time-varying systems with delayed measurements , 2013, Autom..

[12]  Heng Wang,et al.  Fault Detection for a Class of Uncertain State-Feedback Control Systems , 2010, IEEE Transactions on Control Systems Technology.

[13]  Didier Theilliol,et al.  Actuator fault estimation based adaptive polytopic observer for a class of LPV descriptor systems , 2015 .

[14]  Donghua Zhou,et al.  On Designing $H_{\infty}$ Fault Detection Filter for Linear Discrete Time-Varying Systems , 2010, IEEE Transactions on Automatic Control.

[15]  S. Nguang,et al.  Simultaneous robust actuator and sensor fault estimation for uncertain non-linear Lipschitz systems , 2014 .

[16]  Fuad E. Alsaadi,et al.  Robust filtering for a class of nonlinear stochastic systems with probability constraints , 2016, Autom. Remote. Control..

[17]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[18]  Huijun Gao,et al.  Finite-Horizon $H_{\infty} $ Filtering With Missing Measurements and Quantization Effects , 2013, IEEE Transactions on Automatic Control.

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

[20]  Li Sheng,et al.  Relationship Between Nash Equilibrium Strategies and $H_{2}/H_{\infty}$ Control of Stochastic Markov Jump Systems With Multiplicative Noise , 2014, IEEE Transactions on Automatic Control.

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

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

[23]  Kai Xiong,et al.  Robust Extended Kalman Filtering for Nonlinear Systems With Stochastic Uncertainties , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[24]  Daniel W. C. Ho,et al.  Variance-Constrained ${\cal H}_{\infty}$ Filtering for a Class of Nonlinear Time-Varying Systems With Multiple Missing Measurements: The Finite-Horizon Case , 2010, IEEE Transactions on Signal Processing.

[25]  Huajing Fang,et al.  Event-based robust state estimator for linear time-varying system with uncertain observations and randomly occurring uncertainties , 2017, J. Frankl. Inst..

[26]  Huajing Fang,et al.  H∞ fault detection for nonlinear networked systems with multiple channels data transmission pattern , 2013, Inf. Sci..

[27]  Sijing Zhang,et al.  Unknown input and state estimation for linear discrete-time systems with missing measurements and correlated noises , 2016, Int. J. Gen. Syst..

[28]  Minyue Fu,et al.  Optimal filtering for networked systems with Markovian communication delays , 2013, Autom..

[29]  Bo Shen,et al.  Robust Hinfinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects , 2010, Autom..

[30]  Shuwen Pan,et al.  LMI approach to reliable guaranteed cost control with multiple criteria constraints: The actuator faults case , 2009 .

[31]  Zidong Wang,et al.  Envelope-constrained H∞ filtering with fading measurements and randomly occurring nonlinearities: The finite horizon case , 2015, Autom..

[32]  Mathukumalli Vidyasagar,et al.  Reliable stabilization using a multi-controller configuration , 1983, The 22nd IEEE Conference on Decision and Control.

[33]  Bin Jiang,et al.  Adaptive Fuzzy Observer-Based Active Fault-Tolerant Dynamic Surface Control for a Class of Nonlinear Systems With Actuator Faults , 2014, IEEE Transactions on Fuzzy Systems.

[34]  Jun Hu,et al.  Recursive approach to networked fault estimation with packet dropouts and randomly occurring uncertainties , 2016, Neurocomputing.

[35]  T.-G. Park,et al.  Estimation strategies for fault isolation of linear systems with disturbances , 2010 .

[36]  Huijun Gao,et al.  Robust $H_{\infty}$ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts , 2010, IEEE Transactions on Signal Processing.

[37]  Long Xu,et al.  Optimal filtering for systems with finite-step autocorrelated process noises, random one-step sensor delay and missing measurements , 2016, Commun. Nonlinear Sci. Numer. Simul..

[38]  William R. Perkins,et al.  Design of reliable control systems , 1992 .

[39]  Huijun Gao,et al.  Finite-horizon estimation of randomly occurring faults for a class of nonlinear time-varying systems , 2014, Autom..

[40]  James Lam,et al.  A Generalized Parameter-Dependent Approach to Robust H∞ Filtering of Stochastic Systems , 2009, Circuits Syst. Signal Process..

[41]  Ligang Wu,et al.  Observer-based adaptive sliding mode control for nonlinear Markovian jump systems , 2016, Autom..

[42]  Ke Zhang,et al.  Fast fault estimation and accommodation for dynamical systems , 2009 .

[43]  Daniel Liberzon,et al.  Input to State Stabilizing Controller for Systems With Coarse Quantization , 2012, IEEE Transactions on Automatic Control.

[44]  Jun Hu,et al.  Robust Sliding Mode Control for Discrete Stochastic Systems With Mixed Time Delays, Randomly Occurring Uncertainties, and Randomly Occurring Nonlinearities , 2012, IEEE Transactions on Industrial Electronics.

[45]  Jun Hu,et al.  Probability-guaranteed H∞ finite-horizon filtering for a class of nonlinear time-varying systems with sensor saturations , 2012, Syst. Control. Lett..

[46]  Han Chunyan,et al.  Optimal filtering for networked systems with Markovian communication delays , 2012, Proceedings of the 31st Chinese Control Conference.

[47]  Lihua Xie,et al.  Optimal Full-Order and Reduced-Order Estimators for Discrete-Time Systems With Multiple Packet Dropouts , 2008, IEEE Transactions on Signal Processing.

[48]  J. Lam,et al.  Reliable H control of uncertain descriptor systems with multiple time delays , 2003 .

[49]  James Lam,et al.  Mixed H2/H∞ Filtering for Continuous-Time Polytopic Systems: A Parameter-Dependent Approach , 2005 .

[50]  Zhiwei Gao,et al.  Reliable Observer-Based Control Against Sensor Failures for Systems With Time Delays in Both State and Input , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[51]  Huijun Gao,et al.  Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization , 2015, Autom..

[52]  Yeung Sam Hung,et al.  Distributed H∞-consensus filtering in sensor networks with multiple missing measurements: The finite-horizon case , 2010, Autom..

[53]  Guang-Hong Yang,et al.  Fault Tolerant Controller Design for T–S Fuzzy Systems With Time-Varying Delay and Actuator Faults: A K-Step Fault-Estimation Approach , 2014, IEEE Transactions on Fuzzy Systems.

[54]  Huijun Gao,et al.  Fault Detection for Markovian Jump Systems With Sensor Saturations and Randomly Varying Nonlinearities , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[55]  Peng Shi,et al.  Input—Output Approach to Control for Fuzzy Markov Jump Systems With Time-Varying Delays and Uncertain Packet Dropout Rate , 2015, IEEE Transactions on Cybernetics.

[56]  Huijun Gao,et al.  Fault Detection for Discrete Systems With Network-Induced Nonlinearities , 2014, IEEE Transactions on Industrial Informatics.

[57]  Marcel Staroswiecki,et al.  Dynamic Output Feedback-Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Systems With Actuator Faults , 2010, IEEE Transactions on Fuzzy Systems.

[58]  Petter Ögren,et al.  Cooperative control of mobile sensor networks:Adaptive gradient climbing in a distributed environment , 2004, IEEE Transactions on Automatic Control.

[59]  Jun Hu,et al.  Gain-Constrained Recursive Filtering With Stochastic Nonlinearities and Probabilistic Sensor Delays , 2013, IEEE Transactions on Signal Processing.

[60]  Zidong Wang,et al.  H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities , 2008, Autom..

[61]  Engang Tian,et al.  Reliable control for networked control systems with probabilistic actuator fault and random delays , 2010, J. Frankl. Inst..

[62]  Christopher Edwards,et al.  Nonlinear robust fault reconstruction and estimation using a sliding mode observer , 2007, Autom..

[63]  Huazhen Fang,et al.  Kalman filter‐based adaptive control for networked systems with unknown parameters and randomly missing outputs , 2009 .

[64]  Zongli Lin,et al.  Robust filtering for discrete-time systems with saturation and its application to transmultiplexers , 2004, IEEE Trans. Signal Process..

[65]  Emilia Fridman,et al.  Control under quantization, saturation and delay: An LMI approach , 2009, Autom..

[66]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[67]  Huijun Gao,et al.  On H-infinity Estimation of Randomly Occurring Faults for A Class of Nonlinear Time-Varying Systems With Fading Channels , 2016, IEEE Transactions on Automatic Control.

[68]  Zidong Wang,et al.  On Passivity and Passification of Stochastic Fuzzy Systems With Delays: The Discrete-Time Case , 2010, IEEE Trans. Syst. Man Cybern. Part B.

[69]  Zidong Wang,et al.  Recent advances on distributed filtering for stochastic systems over sensor networks , 2014, Int. J. Gen. Syst..

[70]  Fuad E. Alsaadi,et al.  Event-triggered robust distributed state estimation for sensor networks with state-dependent noises , 2015, Int. J. Gen. Syst..

[71]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[72]  Huijun Gao,et al.  $${\cal{H}}_{\infty}$$ and $${\cal{L}}_{\bf 2}/{\cal{L}}_{\infty}$$Model Reduction for System Input with Sector Nonlinearities , 2005 .

[73]  H. Karimi,et al.  Mean-Square Filtering for Polynomial System States Confused with Poisson Noises over Polynomial Observations , 2011 .

[74]  Peng Shi,et al.  Fault Estimation and Tolerant Control for Fuzzy Stochastic Systems , 2013, IEEE Transactions on Fuzzy Systems.

[75]  Nader Meskin,et al.  Multiple sensor fault diagnosis by evolving data-driven approach , 2014, Inf. Sci..

[76]  ShiPeng,et al.  Fault detection for networked control systems with quantization and Markovian packet dropouts , 2015 .

[77]  Alexander G. Loukianov,et al.  Joint state and parameter estimation for uncertain stochastic nonlinear polynomial systems , 2013, Int. J. Syst. Sci..

[78]  Zhou Gu,et al.  Reliable control for nonlinear systems with stochastic actuators fault and random delays through a T-S fuzzy model approach , 2016 .

[79]  Emilia Fridman,et al.  A descriptor system approach to H∞ control of linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[80]  Chaoxu Guan,et al.  Improved H∞ filter design for discrete-time Markovian jump systems with time-varying delay , 2016, J. Frankl. Inst..

[81]  Bo Shen,et al.  Recent Advances on Filtering and Control for Nonlinear Stochastic Complex Systems with Incomplete Information: A Survey , 2012 .

[82]  Peter Xiaoping Liu,et al.  Modeling and dynamic gain scheduling for networked systems with bounded packet losses , 2011, 2011 IEEE International Workshop on Measurements and Networking Proceedings (M&N).

[83]  Fuwen Yang,et al.  Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements , 2006, IEEE Transactions on Signal Processing.

[84]  Shu-Li Sun,et al.  Linear minimum variance estimators for systems with bounded random measurement delays and packet dropouts , 2009, Signal Process..

[85]  Lihua Xie,et al.  Attainability of the minimum data rate for stabilization of linear systems via logarithmic quantization , 2011, Autom..

[86]  Lihua Xie,et al.  Minimum Data Rate for Mean Square Stabilization of Discrete LTI Systems Over Lossy Channels , 2010, IEEE Trans. Autom. Control..

[87]  Bruno Sinopoli,et al.  Kalman filtering with intermittent observations , 2004, IEEE Transactions on Automatic Control.

[88]  Hao Shen,et al.  Non-fragile mixed H∞ and passive asynchronous state estimation for Markov jump neural networks with randomly occurring uncertainties and sensor nonlinearity , 2017, Neurocomputing.

[89]  Bo Shen,et al.  Fuzzy-Logic-Based Control, Filtering, and Fault Detection for Networked Systems: A Survey , 2015 .

[90]  Jianxin Feng,et al.  Optimal robust non-fragile Kalman-type recursive filtering with finite-step autocorrelated noises and multiple packet dropouts , 2011 .

[91]  James Lam,et al.  New approach to mixed H/sub 2//H/sub /spl infin// filtering for polytopic discrete-time systems , 2005, IEEE Transactions on Signal Processing.

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

[93]  Qi Li,et al.  Event-triggered synchronization control for complex networks with uncertain inner coupling , 2015, Int. J. Gen. Syst..

[94]  Young Soo Moon,et al.  Delay-dependent robust stabilization of uncertain state-delayed systems , 2001 .

[95]  Steven X. Ding,et al.  Real-Time Implementation of Fault-Tolerant Control Systems With Performance Optimization , 2014, IEEE Transactions on Industrial Electronics.

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

[97]  Chenglin Wen,et al.  A reduced-order approach to filtering for systems with linear equality constraints , 2016, Neurocomputing.

[98]  Fan Yang,et al.  State estimation for discrete neural networks with randomly occurring uncertainties and missing measurements , 2016, 2016 12th World Congress on Intelligent Control and Automation (WCICA).

[99]  P.L.D. Peres,et al.  Design of H∞ Gain-Scheduled Controllers for Linear Time-Varying Systems by means of Polynomial Lyapunov Functions , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[100]  Hamid Reza Karimi,et al.  Deconvolution Filtering for Nonlinear Stochastic Systems with Randomly Occurring Sensor Delays via Probability-Dependent Method , 2013 .

[101]  Jinde Cao,et al.  Global output convergence of recurrent neural networks with distributed delays , 2007 .

[102]  Jun Hu,et al.  State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays , 2014, Int. J. Gen. Syst..

[103]  Yuanqing Xia,et al.  Parameter-dependent robust H∞ filtering for uncertain discrete-time systems , 2009, Autom..

[104]  Richard D. Braatz,et al.  Switched model predictive control of switched linear systems: Feasibility, stability and robustness , 2016, Autom..

[105]  Ke Zhang,et al.  Analysis and Design of Robust $H_\infty $ Fault Estimation Observer With Finite-Frequency Specifications for Discrete-Time Fuzzy Systems , 2015, IEEE Transactions on Cybernetics.

[106]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[107]  Lina Yao,et al.  Design of new fault diagnosis and fault tolerant control scheme for non-Gaussian singular stochastic distribution systems , 2012, Autom..

[108]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[109]  Zidong Wang,et al.  An Extended Kalman Filtering Approach to Modeling Nonlinear Dynamic Gene Regulatory Networks via Short Gene Expression Time Series , 2009, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[110]  Zongli Lin,et al.  An output feedback /spl Hscr//sub /spl infin// controller design for linear systems subject to sensor nonlinearities , 2003 .

[111]  Gang Feng,et al.  Reliable H∞ control for discrete-time piecewise linear systems with infinite distributed delays , 2009, at - Automatisierungstechnik.

[112]  Dong Yue,et al.  T–S Fuzzy Model-Based Robust Stabilization for Networked Control Systems With Probabilistic Sensor and Actuator Failure , 2011, IEEE Transactions on Fuzzy Systems.

[113]  James Lam,et al.  Finite-Horizon ${\cal H}_{\infty}$ Control for Discrete Time-Varying Systems With Randomly Occurring Nonlinearities and Fading Measurements , 2015, IEEE Transactions on Automatic Control.

[114]  Peng Shi,et al.  Integrated Fault Estimation and Accommodation Design for Discrete-Time Takagi–Sugeno Fuzzy Systems With Actuator Faults , 2011, IEEE Transactions on Fuzzy Systems.

[115]  Zidong Wang,et al.  Finite-Horizon $H_{\infty}$ Fault Estimation for Uncertain Linear Discrete Time-Varying Systems With Known Inputs , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[116]  Jun Hu,et al.  Estimation, filtering and fusion for networked systems with network-induced phenomena: New progress and prospects , 2016, Inf. Fusion.

[117]  Zidong Wang,et al.  $H_{\infty}$ State Estimation for Discrete-Time Complex Networks With Randomly Occurring Sensor Saturations and Randomly Varying Sensor Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[118]  Jing Ma,et al.  Linear estimation for networked control systems with random transmission delays and packet dropouts , 2014, Inf. Sci..

[119]  Huijun Gao,et al.  A Parameter-Dependent Approach to Robust $H_{\infty }$ Filtering for Time-Delay Systems , 2008, IEEE Transactions on Automatic Control.

[120]  R. Singer Estimating Optimal Tracking Filter Performance for Manned Maneuvering Targets , 1970, IEEE Transactions on Aerospace and Electronic Systems.

[121]  Xuemin Chen,et al.  A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information , 2012 .

[122]  Peter F. Al-Hokayem Stability Analysis of Networked Control Systems , 2003 .

[123]  Maozhen Li,et al.  Probability-Dependent Gain-Scheduled Filtering for Stochastic Systems With Missing Measurements , 2011, IEEE Transactions on Circuits and Systems II: Express Briefs.

[124]  Dimitri Peaucelle,et al.  Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation , 2007, Autom..

[125]  Fan Li,et al.  Optimal filtering for systems with finite-step autocorrelated noises and multiple packet dropouts , 2013 .

[126]  Jun Hu,et al.  Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements , 2013, Int. J. Control.

[127]  Fuwen Yang,et al.  Robust finite-horizon filtering for stochastic systems with missing measurements , 2005, IEEE Signal Processing Letters.

[128]  WangZidong,et al.  Robust H∞ filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts , 2010 .

[129]  R.J. Veillette,et al.  Design of reliable control systems , 1990, 29th IEEE Conference on Decision and Control.

[130]  Shu-Li Sun,et al.  Optimal linear estimators for systems with multiple random measurement delays and packet dropouts , 2013, Int. J. Syst. Sci..

[131]  Bo Shen A survey on the applications of the Krein-space theory in signal estimation , 2014 .

[132]  Xiaohui Liu,et al.  Optimal guaranteed cost control of a class of hybrid systems with mode-dependent mixed time delays , 2014, Int. J. Syst. Sci..

[133]  Pierre Apkarian,et al.  Gain-scheduled filtering for time-varying discrete systems , 2004, IEEE Transactions on Signal Processing.

[134]  Shuai Liu,et al.  Extended Kalman filtering for stochastic nonlinear systems with randomly occurring cyber attacks , 2016, Neurocomputing.

[135]  James Lam,et al.  Reliable controller design for nonlinear systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[136]  Jun Hu,et al.  Recursive filtering with random parameter matrices, multiple fading measurements and correlated noises , 2013, Autom..