scholarly journals The Multiobjective Constraint Fault-Tolerant Control of Event-Triggered Nonuniform Transmission for Networked T-S Fuzzy System

2016 ◽  
Vol 2016 ◽  
pp. 1-22 ◽  
Author(s):  
Ya-jie Li ◽  
Wei Li
Keyword(s):  
Time Delay ◽  
Fuzzy System ◽  
Closed Loop ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Convex Combination ◽  
Discrete Event ◽  
Fault Tolerant Control ◽  
Transmission Period ◽  
Event Triggered

Considering the actuator saturation, the problem of multiobjective constraint fault-tolerant control is studied for networked Takagi-Sugeno (T-S) fuzzy system with nonuniform transmission period under the discrete event-triggered communication scheme (DETCS). A closed-loop T-S fuzzy model, which includes numerous factors such as actuator saturation, actuator failure, event-triggered condition, nonuniform transmission period, and time-delay, is established by transferring the effect caused by the nonuniform update period on the system performance into the effect on the system time-delay. Two stability criterions and two codesign methods for the networked closed-loop failure T-S fuzzy system are developed based on a discontinuous Lyapunov-Krasovskii function, a kind of reciprocally convex technology, a kind of linear convex combination, Jessen inequality, and Wirtinger’s inequality. A feasible experimental solution is presented to verify the effectiveness of the proposed method.

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.

scholarly journals Hybrid Active-Passive Robust Fault-Tolerant Control of Event-Triggered Nonlinear NCS

2017 ◽  
Vol 11 (1) ◽  
pp. 68-86 ◽  
Author(s):  
Jun Wang ◽  
Xiaowan Yao ◽  
Wei Li
Keyword(s):  
Fault Detection ◽  
Fault Tolerant ◽  
Discrete Event ◽  
Integrated Design ◽  
Fuzzy Model ◽  
Fault Tolerant Control ◽  
Linear Matrix ◽  
Nonlinear Networked Control Systems ◽  
The Impact ◽  
Event Triggered

In this paper, the authors aimed to analyze uncertain nonlinear networked control systems (NCS) under discrete event-triggered communication scheme (DETCS), in which an integrated design methodology between robust fault detection observer and active fault-tolerant controller is proposed. Moreover, the problem of hybrid active–passive robust fault-tolerant control, which integrated passive fault-tolerant control, fault detection, and controller reconstruction, is researched. In consideration of the impact of uncertainties and network-induced delay on system performance, a new class of uncertain nonlinear NCS fault model is established based on T-S fuzzy model. By employing Lyapunov stability theory, H∞ control theory, and linear matrix inequality method, the fault detection observer and hybrid fault-tolerant controller are both appropriately designed. In addition, the sufficient condition that guaranteed the asymptotically robust stability of nonlinear NCS against any actuator failures is deduced. Finally, a numerical simulation is provided to show the effectiveness of the proposed methods.

H ∞ Fuzzy Tracking Control Design for Nonlinear Active Fault Tolerant Control Systems

2008 ◽  
Vol 130 (4) ◽  
Author(s):  
Huai-Ning Wu ◽  
Ming-Zhen Bai
Keyword(s):  
Control Systems ◽  
Fuzzy System ◽  
Tracking Control ◽  
Closed Loop ◽  
Active Fault ◽  
Fault Tolerant ◽  
Control Design ◽  
Fault Tolerant Control ◽  
System Component ◽  
Active Fault Tolerant Control

This paper studies the problem of H∞ fuzzy tracking control design for nonlinear active fault tolerant control systems based on the Takagi and Sugeno fuzzy model. Two random processes with Markovian transition characteristics are introduced to model the system component fault process and the fault detection and isolation decision process used to reconfigure the control law, respectively. The random behavior of the FDI process is conditioned on the fault process state. The parallel distributed compensation scheme is employed for the control design. As a result, a closed-loop fuzzy system with two Markovian jump parameters is obtained. Based on a stochastic Lyapunov function, a sufficient condition for stochastic stability of the closed-loop fuzzy system with a guaranteed H∞ model reference tracking performance is first derived. A linear matrix inequality approach to the control design is then developed to reduce the effect of the external disturbance and reference input on tracking error as small as possible. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

Event-triggered Hꝏ control for NCS with time-delay and packet losses

2019 ◽  
Vol 37 (3) ◽  
pp. 918-934
Author(s):  
Jing Bai ◽  
Ying Wang ◽  
Li-Ying Zhao
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Discrete Event ◽  
Sufficient Conditions ◽  
Loop System ◽  
Linear Matrix ◽  
Time Varying ◽  
Closed Loop System ◽  
Packet Losses ◽  
Event Triggered

Abstract This paper is concerned with the discrete event-triggered dynamic output-feedback ${H}_{\infty }$ control problem for the uncertain networked control system, where the time-varying sampling, network-induced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closed-loop system is modelled as an augmented time-delay system with interval time-varying delay. By using the Lyapunov stability theory and the augmented state space method, the sufficient conditions for the asymptotic stability of the closed-loop system are proposed in the form of linear matrix inequalities. At the same time, the design method of the ${H}_{\infty }$ controller is created. Finally, a numerical example is employed to illustrate the effectiveness of the proposed method.

Robust Integrity Design for Uncertain NCS with Actuator Saturation Based on Discrete Event-Triggered Communication Scheme

2014 ◽  
Vol 668-669 ◽  
pp. 581-587
Author(s):  
Hui Chao Cao ◽  
Wei Li
Keyword(s):  
Actuator Saturation ◽  
Convex Combination ◽  
Discrete Event ◽  
Networked Control System ◽  
Design Approach ◽  
System Stability ◽  
Linear Matrix ◽  
Unified Framework ◽  
Communication Scheme ◽  
Event Triggered

This paper investigates the co-design problem of both robust integrity and the usage of communication resources for a class of actuator-saturated networked control system(NCS) based on a novel discrete event-triggered communication scheme(DETCS). First, a new model of NCS is established that parameter uncertainty, network-induced delay, actuator saturation and faults, and the state error arising from the DETCS are taken into consideration in a unified framework. Second, based on the model, the set of invariance condition of the closed-loop fault NCS with actuator saturation is proposed, which is the delay-dependent and event-dependent sufficient condition for ensuring the system stability. Then, a co-design approach which includes both robust fault-tolerant controller and the corresponding trigger weight matrix is given via linear matrix inequalities. The reciprocally convex combination lemma and the improved Jensen integral inequality are employed to deal with the derivative terms of the Lyapunov-Krasovakii functional, which can reduce the conservatism and computation of the results. Finally, a simulation example is used to demonstrate the advantage and the effectiveness of the proposed co-design approach, meanwhile, the quantitative relationship between the system performance and the communication resources is provided.

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