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.

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 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.

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.

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.

scholarly journals DistributedH∞Consensus Control of Networked Control Systems with Time-Triggered Protocol

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Ronghua Xie ◽  
Weihua Fan ◽  
Qingwei Chen
Keyword(s):  
Control Systems ◽  
Distributed Control ◽  
Closed Loop ◽  
Controller Design ◽  
Networked Control Systems ◽  
Networked Control ◽  
Consensus Control ◽  
Control Approach ◽  
Analysis And Design ◽  
Basic Ideas

The analysis and design of traditional networked control systems focused on single closed-loop scenario. This paper introduces a distributed control approach for the networked control systems (NCSs) with multiple subsystems based on a time-triggered network protocol. Firstly, some basic ideas of the time-triggered protocol are introduced and a time schedule scheme is employed for the NCS. Then, a novel model is proposed to the NCS regarding the network-induced delay. The resulting closed-loop system is time-delay linear system considering a distributed control law. A sufficient condition toH∞consensus control is present based on the Lyapunov-Krasovskii function. Also, the controller design approach towards the givenH∞performance index is given by a cone complement linearization and iterative algorithm. Finally, numerical examples are given to validate the approach.

scholarly journals Discrete-Time Super Twisting Controller for Networked Control Systems

2019 ◽  
Vol 52 (16) ◽  
pp. 789-794
Author(s):  
Jakob Ludwiger ◽  
Markus Reichhartinger ◽  
Martin Steinberger ◽  
Martin Horn
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Networked Control Systems ◽  
Networked Control

α-Stabilization Criterion for Networked Control Systems

2013 ◽  
Vol 321-324 ◽  
pp. 1858-1862 ◽  
Author(s):  
Li Sheng Wei ◽  
Zhi Hui Mei ◽  
Ming Jiang
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Optimization Problem ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Lmi Approach ◽  
Network Transmission

This study focus on α-Stability constraints for uncertain networked control systems (NCSs) subject to disturbance inputs, where the network transmission is connected with time-delay and packet dropout. The overall NCSs model is derived. In order to obtain much less conservative results, the sufficient condition for feasibility is presented in term of 2nd Lyapunov stability theory and a set of linear matrix inequalities (LMIs). This LMI approach can be the optimization problem of computation of the maximal allowed bound on the time-delay for NCSs.

Sign in / Sign up

Export Citation Format

Share Document