scholarly journals The Stabilization of Continuous-Time Networked Control Systems with Data Drift

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Qixin Zhu ◽  
Kaihong Lu ◽  
Yonghong Zhu
Keyword(s):  
Control Systems ◽  
Continuous Time ◽  
Networked Control Systems ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Loop Model ◽  
Guaranteed Cost ◽  
Data Dropouts ◽  
Theoretical Results

By data drift, we mean the data received by the controller may be different from that sent by the sensor, or the data received by actuator may be different from that sent by the controller. The issues of guaranteed cost control for a class of continuous-time networked control systems with data drift are investigated. Firstly, with the consideration of data drift between sensor and controller, a closed-loop model of networked control systems including network factors such as time-delay and data-dropouts is established. And then, selecting an appropriate Lyapunov function, a guaranteed cost controller in terms of linear matrix inequality (LMI) is designed to asymptotically stabilize the networked control system with data drift. Finally, simulations are included to demonstrate the theoretical results.

Robust Reliability Design for Networked Control Systems Based on State Observers

2010 ◽  
Vol 44-47 ◽  
pp. 1867-1671
Author(s):  
Zhi Hong Huo ◽  
Yuan Zheng ◽  
Chang Xu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Reliability Design ◽  
State Observers ◽  
Parameters Uncertainty ◽  
Parametric Expression

Networked control systems with network-induced delay, packet loss and parameters uncertainty is modeled in this paper, consider the sensors that can’t send information to controller and the actuators that can’t receive information calculated and sent by the controller, the integrity design of the networked control system with sensors failures and actuators failures is analyzed based on robust fault-tolerant control theory. Parametric expression of controller is given based on feasible solution of linear matrix inequality. After detailed theoretical analysis, the simulation results is provided, which further demonstrated the proposed scheme.

scholarly journals The Design of Robust Controller for Networked Control System with Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Zhongda Lu ◽  
Lijing Wang ◽  
Fengbin Zhang ◽  
Fengxia Xu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Control Systems ◽  
Networked Control Systems ◽  
System Modeling ◽  
Networked Control System ◽  
Networked Control ◽  
Loop Model ◽  
The Stability ◽  
System With Time Delay

This paper considers the stability andH∞control problem of networked control systems with time delay. Taking into account the influence of network with delay, unknown input disturbance, and uncertainties of the system modeling, meanwhile we establish a precise, closed-loop model for networked control systems with time delay. By selecting a proper Lyapunov-Krasovskii function and using Lyapunov theorem, a sufficient condition for stability of the system in the form of LMI is demonstrated, corresponding controller parameters are acquired, and the convergence of the control algorithm is proved. The simulation example shows that the construction of the network robust control system with time delay indeed improves the stability performance of the system, which indicates the effectiveness of the design.

scholarly journals H∞Guaranteed Cost Control for Networked Control Systems under Scheduling Policy Based on Predicted Error

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Qixin Zhu ◽  
Kaihong Lu ◽  
Yonghong Zhu
Keyword(s):  
Control Systems ◽  
Prediction Error ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Control ◽  
Collision Probability ◽  
Linear Matrix ◽  
Scheduling Policy ◽  
Network Bandwidth ◽  
Guaranteed Cost

Scheduling policy based on model prediction error is presented to reduce energy consumption and network conflicts at the actuator node, where the characters of networked control systems are considered, such as limited network bandwidth, limited node energy, and high collision probability. The object model is introduced to predict the state of system at the sensor node. And scheduling threshold is set at the controller node. Control signal is transmitted only if the absolute value of prediction error is larger than the threshold value. Furthermore, the model of networked control systems under scheduling policy based on predicted error is established by taking uncertain parameters and long time delay into consideration. The design method ofH∞guaranteed cost controller is presented by using the theory of Lyapunov and linear matrix inequality (LMI). Finally, simulations are included to demonstrate the theoretical results.

scholarly journals Exponential stability of networked control systems with network-induced random delays

2010 ◽  
Vol 20 (2) ◽  
pp. 165-186 ◽  
Author(s):  
Dusan Krokavec ◽  
Anna Filasová
Keyword(s):  
Exponential Stability ◽  
Control Systems ◽  
Networked Control Systems ◽  
Standard Form ◽  
Networked Control System ◽  
Networked Control ◽  
System Structure ◽  
Linear Matrix ◽  
Event Time ◽  
Random Delays

Exponential stability of networked control systems with network-induced random delaysIn this paper, the problem of exponential stability for the standard form of the state control, realized in a networked control system structure, is studied. To deal with the problem of stability analysis of the event-time-driven modes in the networked control systems the delayed-dependent exponential stability conditions are reformulated and proven. Based on the delay-time dependent Lyapunov-Krasovskii functional, exponential stability criteria are derived. These criteria are expressed as a set of linear matrix inequalities and their structure can be modified to use the bilinear inequality techniques.

Improved analysis and H∞ control for networked control systems with time-varying delays and packet dropout

2018 ◽  
Vol 40 (14) ◽  
pp. 3923-3932 ◽  
Author(s):  
Ling Huang ◽  
Min Sun
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Convex Combination ◽  
Scalar Function ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Iteration Algorithm ◽  
Time Varying

This paper studies the improved analysis and H∞ control for a class of networked control systems with time-varying delays and packet dropout via a quadratic convex combination approach. The newly proposed augmented Lyapunov–Krasovskii functional is constructed by using the quadratic terms multiplied by a third-degree scalar function. A sufficient condition for asymptotic stability of networked control system is derived in terms of linear matrix inequalities. The H∞ state feedback controller is obtained with an iteration algorithm. Differently from previous results, our derivation applies the idea of a second-order convex combination and the estimation of cross items. This method gives a reduced conservatism without using Jensen’s inequality. Numerical examples show the validity and feasibility of the proposed theoretical results.

GUARANTEED COST CONTROL OF NETWORKED CONTROL SYSTEMS WITH TIME-DELAYS AND PACKET LOSSES

2006 ◽  
Vol 04 (04) ◽  
pp. 691-706 ◽  
Author(s):  
SHANBIN LI ◽  
YONGQIANG WANG ◽  
FENG XIA ◽  
YOUXIAN SUN
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
Cost Control ◽  
Networked Control Systems ◽  
Guaranteed Cost Control ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Losses ◽  
Markovian Jump Linear Systems ◽  
Guaranteed Cost

In this paper, the random time-delays and packet losses issues of networked control systems (NCS) within the framework of guaranteed cost control for Markovian jump linear systems (MJLSs) are addressed. A new delay-dependent sufficient condition for the existence of guaranteed cost controller and an upper bound of the cost function are presented by a new stochastic Lyapunov–Krasovskii functional. The state feedback problem for such system is formulated as a convex optimization over a set of linear matrix inequalities (LMIs) which can be very efficiently solved by interior-point methods. As examples to verify the proposed method, two plants in the networked setup are considered. The simulation results demonstrate the effectiveness of the method.

Observer-Based Feedback Control of Networked Control Systems With Delays and Packet Dropouts

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
Qixin Zhu ◽  
Kaihong Lu ◽  
Yonghong Zhu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control System ◽  
Networked Control ◽  
Discrete Time System ◽  
Packet Dropouts ◽  
Transmission Delays ◽  
Inequality Theory ◽  
Time Varying Parameter ◽  
Theoretical Results

The observer-based feedback controller of a new linear networked control system (NCS) with both delays and packet dropouts is designed when the state information is not fully available. With the effects of transmission delays, NCSs are modeled as a discrete-time system with time-varying parameter. The occurrence of packet dropouts is modeled as a Bernoulli event in the NCSs. Under certain conditions, the observer-based controller is proved to render the corresponding NCSs exponentially mean-square stable based on Lyapunov stability theorem and matrix inequality theory. Finally, numerical simulations are included to demonstrate the theoretical results.

scholarly journals Guaranteed Cost Fault-Tolerant Control for Networked Control Systems with Sensor Faults

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Qixin Zhu ◽  
Kaihong Lu ◽  
Guangming Xie ◽  
Yonghong Zhu
Keyword(s):  
Control Systems ◽  
Large Scale ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Networked Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Sensor Faults ◽  
Discrete Time System ◽  
Guaranteed Cost

For the large scale and complicated structure of networked control systems, time-varying sensor faults could inevitably occur when the system works in a poor environment. Guaranteed cost fault-tolerant controller for the new networked control systems with time-varying sensor faults is designed in this paper. Based on time delay of the network transmission environment, the networked control systems with sensor faults are modeled as a discrete-time system with uncertain parameters. And the model of networked control systems is related to the boundary values of the sensor faults. Moreover, using Lyapunov stability theory and linear matrix inequalities (LMI) approach, the guaranteed cost fault-tolerant controller is verified to render such networked control systems asymptotically stable. Finally, simulations are included to demonstrate the theoretical results.

H∞ Robust Control for Networked Control System with Short Time-Delay

2014 ◽  
Vol 556-562 ◽  
pp. 5501-5505 ◽  
Author(s):  
Ping Qian ◽  
Wen Rui Wang ◽  
Xue Qiang Li ◽  
Yin Zhong Ye
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Short Time ◽  
Short Time Delay

For a kind of networked control systems with short time-delay, establish discrete time-invariant system model. Construct the Lyapunov function based on the Lyapunov asymptotic stability principle. Using Linear Matrix Inequalities method given the sufficient condition of H∞ robust controller design method of closed-loop feedback control systems. Matlab simulation indicates the effectiveness and correctness of the controller design.

Fuzzy Integrality Design for Maglev Networked Control System with Sensor Data Dropouts

2010 ◽  
Vol 44-47 ◽  
pp. 1437-1441 ◽  
Author(s):  
Zhi Zhou Zhang ◽  
Ling Ling Zhang ◽  
Long Hua She ◽  
Zhi Qiang Long
Keyword(s):  
Control System ◽  
Control Method ◽  
Control Period ◽  
Networked Control System ◽  
Networked Control ◽  
Sensor Data ◽  
Linear Matrix ◽  
Loop Model ◽  
Sensors And Actuators ◽  
Data Dropouts

Considering the parameter’s uncertainty of Maglev networked control system, a fuzzy fault-tolerant control method possessing integrity based on T-S model was proposed with sensor data dropouts. When the sensor data of maglev networked system drops out, the state variable sampled at last control period is adopted by the controller. By setting different fault models of sensors and actuators, the fuzzy discrete close-loop model of maglev system was built with system parameter’s uncertainty. A passive integrality control method against sensor and actuator failures was designed with Linear Matrix Inequation (LMI). Simulation results well proved the effectiveness of the algorithm.

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