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 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 Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. Rajchakit ◽  
P. Niamsup ◽  
T. Rojsiraphisal ◽  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Performance Measure ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Guaranteed Cost

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

Design of Networked Control System with Time-Delay and Packet Loss

2014 ◽  
Vol 556-562 ◽  
pp. 5400-5403
Author(s):  
Lan Liu ◽  
Xun He Yin
Keyword(s):  
Control System ◽  
Time Delay ◽  
Packet Loss ◽  
Closed Loop ◽  
Random Network ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Controller Gain ◽  
System With Time Delay

For Networked Control System (NCS) with random network-induced delay and packet loss, an observer is designed to reconstruct the states using output values. A piece-wise time-delay strategy and the timestamp technique are used, improving the system performance. Depending on whether data dropout occurs or not, system is modeled as an Asynchronous Dynamical System (ADS), and theorem guaranteeing the system closed-loop stability is also given. Based on Lyapunov and Linear Matrix Inequality (LMI), controller gain and observer gain are solved and TrueTime toolbox is used to verify the effectiveness of the algorithm.

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.

Observer-based event-triggered H∞ control for asynchronous switched delay systems

2020 ◽  
Vol 42 (12) ◽  
pp. 2254-2261
Author(s):  
Yang Yang ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Economic Losses ◽  
System State ◽  
Closed Loop System ◽  
Lyapunov Function Method ◽  
Signal Method ◽  
Event Triggered

In this paper, the [Formula: see text] performance of observer-based asynchronous linear switched delay systems with an event-triggered sampling scheme is considered. Firstly, owing to the system state cannot be measured completely in practice, a state feedback observer is used to reconstruct the system state. Next, we design an event-triggered sampling mechanism, under which the sample of the system only occur when the error exceeds a predetermined threshold, so it will reduce economic losses. Then, considering the asynchronous switching between the subsystems and the controllers, some sufficient conditions are proposed by using merging switching signal method and multiple Lyapunov function method to ensure the [Formula: see text] performance of the asynchronous closed-loop system. Finally, a numerical example is given to illustrate the validity of the results.

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