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 H∞ Control for Discrete-Time Networked T-S Fuzzy Systems with Packet Loss Based on Event-Triggered Mechanism

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Huiying Chen ◽  
Dongqin Xu ◽  
Zuxin Li ◽  
Yanfeng Wang
Keyword(s):  
Packet Loss ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Networked Control System ◽  
Data Packet ◽  
State Feedback Control ◽  
Networked Control ◽  
Nonlinear Networked Control Systems ◽  
Event Triggered

The H∞ state feedback control problem for a class of nonlinear networked control systems with data packet loss is studied using an event-triggered scheme. The data packet loss is described as an independent and homogeneous Bernoulli process. Under an event-triggered scheme, the nonlinear networked control system with packet loss is modeled as a Takagi-Sugeno (T-S) fuzzy system, based on which sufficient conditions on the existence of event-triggered state feedback controllers are derived such that the closed-loop system is mean-square stable with a desired H∞ performance index. The simulation results show that the presented event-triggered scheme can not only ensure the closed-loop performance but also effectively reduce the data transmission rate.

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.

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.

A Digital Algorithm for Near-Minimum-Time Control of Robot Manipulators

1987 ◽  
Vol 109 (4) ◽  
pp. 320-327 ◽  
Author(s):  
C. K. Kao ◽  
A. Sinha ◽  
A. K. Mahalanabis
Keyword(s):  
Control Algorithm ◽  
State Feedback ◽  
Closed Loop ◽  
Robot Manipulator ◽  
Minimum Time ◽  
State Feedback Control ◽  
Final States ◽  
Closed Loop System ◽  
Time Control ◽  
Digital Algorithm

A digital state feedback control algorithm has been developed to obtain the near-minimum-time trajectory for the end-effector of a robot manipulator. In this algorithm, the poles of the linearized closed loop system are judiciously placed in the Z-plane to permit near-minimum-time response without violating the constraints on the actuator torques. The validity of this algorithm has been established using numerical simulations. A three-link manipulator is chosen for this purpose and the results are discussed for three different combinations of initial and final states.

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.

State feedback control for Lurie networked control systems

2012 ◽  
Vol 19 (12) ◽  
pp. 3510-3515 ◽  
Author(s):  
Gang Chen ◽  
Hong-qiu Zhu ◽  
Chun-hua Yang ◽  
Chun-hua Hu
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
State Feedback ◽  
Networked Control Systems ◽  
State Feedback Control ◽  
Networked Control
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