scholarly journals Improved Stabilization Method for Lurie Networked Control Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Lei Ding ◽  
Shen-Ping Xiao ◽  
Fei Yu
Keyword(s):  
Control Systems ◽  
State Feedback ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Iteration Algorithm ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stabilization Method ◽  
The Relationship

The problem of stabilization of Lurie networked control systems (NCSs) is investigated in this paper. The network-induced delays in NCSs are assumed to be time-varying and bounded. By utilizing a reciprocally convex technique to consider the relationship between the network-induced delay and its varying interval, a new absolute stability condition is derived in terms of linear matrix inequalities (LMIs). Based on the obtained condition, an improved cone complementary linearisation (CCL) iteration algorithm is presented to design a state feedback controller. The effectiveness of the proposed method is verified by a numerical example.

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.

Stabilization for Networked Control Systems with Limited Communication

2013 ◽  
Vol 397-400 ◽  
pp. 1963-1966
Author(s):  
Ying Ying Liu ◽  
Yun Kai Chu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Linear Matrix ◽  
Quantization Scheme ◽  
Matrix Inequalities ◽  
Delay Bound ◽  
The Relationship ◽  
Convex Condition

This paper studies the stabilization problems of networked control systems (NCSs) with dynamical quantizers. A new model is proposed that takes into consideration the effect of the network induced delay, the quantization levels, and based on this model, dynamical quantization scheme is introduced. The relationship between the delay bound，the quantization range and stability is given by using Lyapunov stability theory and linear matrix inequalities (LMIs) approach, and convex condition of the stabilization controller is presented. A simulation example shows the effectiveness of the proposed method.

scholarly journals Non-Fragile Robust H∞ Filtering of Takagi-Sugeno Fuzzy Networked Control Systems with Sensor Failures

Sensors ◽  
2019 ◽  
Vol 20 (1) ◽  
pp. 27 ◽  
Author(s):  
Hao Wang ◽  
Shousheng Xie ◽  
Bin Zhou ◽  
Weixuan Wang
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Sensor Failures ◽  
Takagi Sugeno ◽  
Filtering Problem

The fault-tolerant robust non-fragile H∞ filtering problem for networked control systems with sensor failures is studied in this paper. The Takagi-Sugeno fuzzy model which can appropriate any nonlinear systems is employed. Based on the model, a filter which can maintain stability and H∞ performance level under the influence of gain perturbation of the filter and sensor failures is designed. Moreover, the gain matrix of sensor failures is converted into a dynamic interval to expand the range of allowed failures. And the sufficient condition for the existence of the desired filter is derived in terms of linear matrix inequalities (LMIs) solutions. Finally a simulation example is given to illustrate the effectiveness of the proposed method.

New Approaches for Network-Based Control Systems with Time-Varying Delays

2012 ◽  
Vol 152-154 ◽  
pp. 1821-1827
Author(s):  
Zhong Min Liu ◽  
Yi Wei Feng ◽  
Dong Song Luo
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Communication Delays ◽  
Matrix Inequalities ◽  
Delay Distribution ◽  
Delay Control ◽  
Analysis And Synthesis ◽  
Synthesis Approach

In this paper, a delay distribution based stability analysis and synthesis approach for networked control systems (NCSs) of network communication delays is proposed. A bounded delay control model is established to describe the NCSs. Then, delay distribution-dependent NCSs stability criteria are derived in the form of linear matrix inequalities (LMIs). Also, the problem of HΚ performance analysis for NCSs with time varying delays components is also studied. The results are illustrated by numerical examples.

scholarly journals Observer-Based Feedback Stabilization of Networked Control Systems with Random Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Pengpeng Chen ◽  
Shouwan Gao
Keyword(s):  
Control Systems ◽  
Linear Matrix Inequalities ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Packet Dropouts ◽  
Binary Distribution

This paper is concerned with observer-based feedback stabilization of networked control systems (NCSs) with random packet dropouts. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are considered, and their behavior is assumed to obey the Bernoulli random binary distribution. The hold-input strategy is adopted, in which the previous packet is used if the packet is lost. An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the results.

scholarly journals An Event-Triggered Robust Control and Bandwidth Scheduling Codesign Approach for Networked Control Systems with Uncertain Time Delays

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Yun Niu ◽  
Yalin Liang
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Control Law ◽  
Time Varying ◽  
Control Performance ◽  
Bandwidth Scheduling ◽  
Scheduling Strategy ◽  
Event Triggered

For networked control systems, the bandwidth resource is always limited; thus besides control performance, the efficient resource utilization is also crucial. In this paper, a novel event-triggered control and resource scheduling codesign approach is proposed to stabilize the uncertain dynamic systems which are subject to time-varying network introduced delays. A discrete switched system with uncertain parameters is employed to model the event-triggered control system with time-varying network-induced delays. Based on the model, a control law, scheduling strategy, and event-triggered condition codesign approach is investigated. A set of linear matrix inequalities are used to tackle the codesign problem. As the solution to the problem, a control law is obtained to guarantee stability or certain performance properties; an event-triggered condition and a scheduling strategy are also obtained to efficiently utilize the limited resources. That is, the event-triggered condition makes the network accession be triggered when it is necessary. The scheduling strategy guarantees the control loop suffering the worst control performance can get the authority to access the network. The proposed approach is evaluated through simulated experiments, with respect to the networked control of inverted pendulums. The results show that the proposed event-triggered control and scheduling approach can achieve better control performances with lower average resource consumption in comparison with the time-based control strategy.

Robust H∞ Control for Uncertain Discrete Networked Control Systems

2013 ◽  
Vol 380-384 ◽  
pp. 393-397
Author(s):  
Long Chen ◽  
Bai Da Qu
Keyword(s):  
Control Systems ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Time Varying ◽  
Data Packet Dropout ◽  
Closed Loop Systems ◽  
Cone Complementarity Linearization

This study is concerned with the robust H control for a class of uncertain discrete Networked Control Systems (NCSs). The NCSs with bounded network-induced delay and data packet dropout are modeled as closed-loop systems with time-varying input delay. By using new Lyapunov-Krasovskii function and combining Jessen inequality and reciprocal convex technique, a sufficient condition which asymptotically robust stabilizes closed-loop systems and satisfies H performance index is derived. This study needs fewer Linear Matrix Inequality (LMI), compared with the existing literature. Therefore, the result obtains lower conservativeness. Finally, the robust H controller is obtained with an improved cone complementarity linearization (ICCL).Simulation results show the effectiveness of the proposed method.

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.

Sign in / Sign up

Export Citation Format

Share Document