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

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Wang Yan-feng ◽  
Wang Pei-liang ◽  
Li Zu-xin ◽  
Chen Hui-ying
Keyword(s):  
Control Systems ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Loop System ◽  
Networked Control ◽  
Actuator Fault ◽  
Closed Loop System

This paper is concerned with the problem of designing a fault-tolerant controller for uncertain discrete-time networked control systems against actuator possible fault. The step difference between the running stepkand the time stamp of the used plant state is modeled as a finite state Markov chain of which the transition probabilities matrix information is limited. By introducing actuator fault indicator matrix, the closed-loop system model is obtained by means of state augmentation technique. The sufficient conditions on the stochastic stability of the closed-loop system are given and 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.

scholarly journals Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Yan-Feng Wang ◽  
Zu-Xin Li ◽  
Hui-Ying Chen ◽  
Li-Di Quan ◽  
Xiao-Rui Guo
Keyword(s):  
Markov Chain ◽  
Time Delay ◽  
Control Systems ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Loop System ◽  
Networked Control ◽  
Closed Loop System ◽  
Nonlinear Networked Control Systems

The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.

scholarly journals Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Li Qiu ◽  
Chengxiang Liu ◽  
Fengqi Yao ◽  
Gang Xu
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Lyapunov Stability Theory ◽  
Loop System ◽  
Networked Control ◽  
Closed Loop System ◽  
Analysis And Design

This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results.

Finite-time dissipative control for networked control systems with hybrid-triggered scheme

2020 ◽  
pp. 014233122094650
Author(s):  
Qian Zhang ◽  
Huaicheng Yan ◽  
Shiming Chen ◽  
Xisheng Zhan ◽  
Xiaowei Jiang
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
Closed Loop ◽  
Controller Design ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Closed Loop System ◽  
Network Resources ◽  
Dissipative Control

This paper is concerned with the problem of finite-time dissipative control for networked control systems by hybrid triggered scheme. In order to save network resources, a hybrid triggered scheme is proposed, which consists of time-triggered scheme and event-triggered scheme simultaneously. Firstly, sufficient conditions are derived to guarantee that the closed-loop system is finite-time bounded (FTBD) and [Formula: see text] dissipative. Secondly, the corresponding controller design approach is presented based on the derived conditions. Finally, a numerical example is presented to show the effectiveness of the proposed approach.

Stability Analysis and Controller Design of Networked Control Systems with Packet Dropout

2012 ◽  
Vol 629 ◽  
pp. 835-839
Author(s):  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Markovian Jump Linear Systems ◽  
Special Cases ◽  
Stability And Stabilization

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two special cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

scholarly journals Stabilization for Networked Control Systems with Random Sampling Periods

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Yuan Li ◽  
Qingling Zhang ◽  
Shuanghong Zhang ◽  
Min Cai
Keyword(s):  
Markov Chains ◽  
Control Systems ◽  
Random Sampling ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Sampling Period ◽  
Networked Control ◽  
Linear Matrix ◽  
Random Delays

This paper investigates the stabilization of networked control systems (NCSs) with random delays and random sampling periods. Sampling periods can randomly switch between three cases according to the high, low, and medium types of network load. The sensor-to-controller (S-C) random delays and random sampling periods are modeled as Markov chains. The transition probabilities of Markov chains do not need to be completely known. A state feedback controller is designed via the iterative linear matrix inequality (LMI) approach. It is shown that the designed controller is two-mode dependent and depends on not only the currentS-Cdelay but also the most recent available sampling period at the controller node. The resulting closed-loop systems are special discrete-time jump linear systems with two modes. The sufficient conditions for the stochastic stability are established. An example of the cart and inverted pendulum is given to illustrate the effectiveness of the theoretical result.

scholarly journals Discrete Event-Triggered Robust Fault-Tolerant Control for Nonlinear Networked Control Systems withα-Safety Degree and Actuator Saturation

2015 ◽  
Vol 2015 ◽  
pp. 1-17 ◽  
Author(s):  
Yajie Li ◽  
Wei Li
Keyword(s):  
Control Systems ◽  
Closed Loop ◽  
Actuator Saturation ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Discrete Event ◽  
Fault Tolerant Control ◽  
Networked Control ◽  
Nonlinear Networked Control Systems ◽  
Event Triggered

This paper deals with the discrete event-triggered robust fault-tolerant control problem for uncertain nonlinear networked control systems (NNCSs) withα-safety degree. A discrete event-triggered communication scheme (DETCS) is initially proposed, and a closed-loop fault model is subsequently established for NNCSs with actuator saturation under the DETCS. Based on an appropriately constructed delay-dependent Lyapunov–Krasovskii function, sufficient conditions are derived to guarantee the asymptotic stability of NNCSs under two different event-triggered conditions and are established as the contractively invariant sets of fault tolerance withα-safety degree. Furthermore, codesign methods between the robust fault-tolerant controller and event-triggered weight matrix are also proposed in terms of linear matrix inequality. The simulation shows that the resultant closed-loop fault NNCSs possesses a high safety margin, and an improved dynamic performance, as well as a reduced communication load. A comparative analysis of the two event-triggered conditions is discussed in the experiment section.

Robust finite–time stochastic stabilization and fault–tolerant control for uncertain networked control systems considering random delays and probabilistic actuator faults

2019 ◽  
Vol 41 (12) ◽  
pp. 3550-3561 ◽  
Author(s):  
Mohsen Bahreini ◽  
Jafar Zarei ◽  
Roozbeh Razavi–Far ◽  
Mehrdad Saif
Keyword(s):  
Control Systems ◽  
Stochastic Stability ◽  
Finite Time ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Networked Control ◽  
Actuator Faults ◽  
Closed Loop System ◽  
Numerical Example ◽  
Random Delays

This paper focuses on the problem of reliable finite–time stochastic stability (FTSS) for uncertain networked control systems (NCSs). A Markovian jump system (MJS) model with partly unknown transition probabilities (TPs) for the NCSs with random delays, data packet dropouts (disorders as well) and stochastic actuator faults is established to describe the closed–loop system. A mode-dependent static output feedback controller is designed taking only the measured outputs into account. A new criterion is also derived in terms of linear matrix inequalities (LMIs) to ensure reliable FTSS of the closed–loop system, based on the stochastic stability theory. Simulation studies on a benchmark numerical example, as well as an unstable numerical example can verify the effectiveness of the proposed method.

scholarly journals Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Ye-Guo Sun ◽  
Qing-Zheng Gao
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Networked Control System ◽  
Loop System ◽  
State Feedback Control ◽  
Networked Control ◽  
Random Time ◽  
Closed Loop System ◽  
Stochastically Stable

This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control. Both sensor-to-controller and controller-to-actuator delays are modeled as Markov processes, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS). Based on Lyapunov stability theorem combined with Razumikhin-based technique, a new delay-dependent stochastic stability criterion in terms of bilinear matrix inequalities (BMIs) for the system is derived. A state feedback controller that makes the closed-loop system stochastically stable is designed, which can be solved by the proposed algorithm. Simulations are included to demonstrate the theoretical result.

Sign in / Sign up

Export Citation Format

Share Document