Robust Fault-Tolerant Control for Uncertain Networked Control Systems with State-Delay and Random Data Packet Dropout

Abstract

A robust fault-tolerant controller design problem for networked control system (NCS) with random packet dropout in both sensor-to-controller link and controller-to-actuator link is investigated. A novel stochastic NCS model with state-delay, model uncertainty, disturbance, probabilistic sensor failure, and actuator failure is proposed. The random packet dropout, sensor failures, and actuator failures are characterized by a binary random variable. The sufficient condition for asymptotical mean-square stability of NCS is derived and the closed-loop NCS satisfiesH∞performance constraints caused by the random packet dropout and disturbance. The fault-tolerant controller is designed by solving a linear matrix inequality. A numerical example is presented to illustrate the effectiveness of the proposed method.

Integrity Design for Networked Control Systems with Actuator Failures and Data Packet Dropouts

“…Next, after pre-and postmultiplying inequality (27) by diag{ −1 , −1 , −1 , , , }, we have (15). Therefore, the inequality ( +1 ) − Similar to the above process, (14) and (16) can be obtained. Then, the following inequalities hold:…”

“…However, the insertion of networks also brings some new issues, such as network-induced delay (as in [1,[6][7][8][9][10][11][12]) and data packet dropout (as in [1,[13][14][15]), which make NCSs more vulnerable to faults than conventional systems. As we know, research on FTC strives to make the system stable and retain acceptable performance under the system faults.…”

“…A wide range of research has recently been reported dealing with problems related to the FTC for NCSs with network-induced delay (as in [8][9][10][11]). As compared to the plentiful works on FTC for NCSs with network-induced delay, only a few attention has been paid to the study of FTC for NCSs with data packet dropout (as in [14,15,23]). As we know, packet dropouts can be modeled either as stochastic or deterministic phenomena, such as packet dropouts in both S-C link and C-A link are characterized by Bernoulli process in [14].…”

“…As compared to the plentiful works on FTC for NCSs with network-induced delay, only a few attention has been paid to the study of FTC for NCSs with data packet dropout (as in [14,15,23]). As we know, packet dropouts can be modeled either as stochastic or deterministic phenomena, such as packet dropouts in both S-C link and C-A link are characterized by Bernoulli process in [14]. Finite-state Markovian process is used to model correlated packet dropouts in [23].…”

Fault-Tolerant Control for Networked Control Systems with Limited Information in Case of Actuator Fault

“…On the basis of the information on fault estimator, a fault-tolerant controller using sliding mode control theory was designed to recover the system performance. In [11], the random packet dropout and the sensor or actuator failure were described as binary random variables; the sufficient condition for asymptotical meansquare stability of the NCSs was derived. By using matrix measure technique, a fault-tolerant controller was designed for NCSs with network-induced delay and model uncertainty in [12].…”