Fault Detection for Uncertain Delta Operator Systems with Two-Channel Packet Dropouts via a Switched Systems Approach

This paper utilizes a switched systems approach to deal with the problem of fault detection (FD) for uncertain delta operator networked control systems (NCSs) with packet dropouts and timevarying delays. Uncertainties exist in the matrices of the systems and are norm-bounded time-varying. Two parts of packet dropouts are considered in this paper: From sensors to controllers, and from controllers to actuators. Two independent Bernoulli distributed white sequences are introduced to account for packet dropouts. Then an FD filter is designed under an arbitrary switching law. Furthermore, the sufficient conditions for the NCSs under consideration that are exponentially stable in the mean-square sense and satisfy H∞ performance are obtained in terms of linear matrix inequalities (LMIs), multiple Lyapunov functions (MLF) and average dwell-time (ADT) approach. The explicit expression of the desired filter parameters is given. Finally, a numerical example verifies the effectiveness of the proposed method.

[1]  Kamal Premaratne,et al.  Delta-operator formulated discrete-time approximations of continuous-time systems , 1994, IEEE Trans. Autom. Control..

[2]  Hong Lin,et al.  On stability and convergence of optimal estimation for networked control systems with dual packet losses without acknowledgment , 2018, Autom..

[3]  Jinde Cao,et al.  Combined H∞ and passivity control for networked control systems with random gain fluctuations and sojourn probabilities: A switched system approach , 2017 .

[4]  K. Khorasani,et al.  Networked Estimation of Multi‐Agent Systems Subject to Faults and Unreliable Information , 2015 .

[5]  Derong Liu,et al.  Networked Control Systems: Theory and Applications , 2008 .

[6]  Bengt Lennartson,et al.  Numerical Sensitivity of Linear Matrix Inequalities Using Shift and Delta Operators , 2012, IEEE Transactions on Automatic Control.

[7]  Yong Chen,et al.  Robust Tracking Control of Networked Control Systems With Communication Constraints and External Disturbance , 2017, IEEE Transactions on Industrial Electronics.

[8]  Damien Koenig,et al.  Robust fault detection for uncertain switched systems , 2017 .

[9]  Thomas Ketterl,et al.  A Wireless Robot for Networked Laparoscopy , 2013, IEEE Transactions on Biomedical Engineering.

[10]  Zidong Wang,et al.  Fault detection for switched positive systems under successive packet dropouts with application to the Leslie matrix model , 2016 .

[11]  Jian Ma,et al.  An Adaptive Clustering Protocol Using Niching Particle Swarm Optimization for Wireless Sensor Networks , 2015 .

[12]  H. Karimi,et al.  Mixed l−/l1 fault detection observer design for positive switched systems with time-varying delay via delta operator approach , 2014, International Journal of Control, Automation and Systems.

[13]  Long Wang,et al.  Switched system approach to stabilization of networked control systems , 2011 .

[14]  Lijun Long,et al.  Global Disturbance Rejection of Switched Nonlinear Systems with Switched Internal Model , 2018, J. Syst. Sci. Complex..

[15]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[16]  Duanjin Zhang,et al.  Robust fault detection of networked control systems with time-varying delay and random packet loss based on delta operator , 2017, IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society.

[17]  Michel Gevers,et al.  Comparative study of finite wordlength effects in shift and delta operator parameterizations , 1993, IEEE Trans. Autom. Control..

[18]  Ouerfelli Houssem Eddine,et al.  Monotonic convergence switching iterative learning tracking control for a class of continuous time switched systems , 2017, 2017 American Control Conference (ACC).

[19]  Weijian Ren,et al.  Fault Detection for Complex Systems with Channel Fadings, Randomly Occurring Multiple Delays and Infinitely Distributed Delays , 2018, J. Syst. Sci. Complex..

[20]  Farzad Rajaei Salmasi,et al.  Detection and isolation of actuator and sensor faults for networked control systems , 2017 .

[21]  G. Goodwin,et al.  Improved finite word length characteristics in digital control using delta operators , 1986 .

[22]  Feiqi Deng,et al.  Robust H∞ control for networked systems with transmission delays and successive packet dropouts under stochastic sampling , 2017 .

[23]  Jinde Cao,et al.  Switched exponential state estimation and robust stability for interval neural networks with the average dwell time , 2015, IMA J. Math. Control. Inf..

[24]  Rama K. Yedavalli,et al.  Robust stability bounds for multi-delay networked control systems , 2018, Int. J. Control.

[25]  Rathinasamy Sakthivel,et al.  Fault estimation for discrete‐time switched nonlinear systems with discrete and distributed delays , 2016 .

[26]  Qing Zhao,et al.  Closed-loop design of fault detection for networked non-linear systems with mixed delays and packet losses , 2013 .

[27]  Guang-Hong Yang,et al.  Fault Detection for Discrete-Time Switched Systems in Finite-Frequency Domain , 2015, Circuits Syst. Signal Process..

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

[29]  Tao Zhang,et al.  A novel event-triggered mechanism for networked cascade control system with stochastic nonlinearities and actuator failures , 2019, J. Frankl. Inst..

[30]  Ying Wu,et al.  Mode-dependent robust stability and stabilisation of uncertain networked control systems via an average dwell time switching approach , 2017 .

[31]  Mohammad Ali Badamchizadeh,et al.  Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay , 2017 .

[32]  S. Lakshmanan,et al.  Nonfragile Sampled-Data Control for Uncertain Networked Control Systems With Additive Time-Varying Delays , 2019, IEEE Transactions on Cybernetics.