scholarly journals Delay-Dependent Control for Networked Control Systems with Large Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yilin Wang ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Practical Case ◽  
Time Model ◽  
Long Time ◽  
Delay Dependent ◽  
And Control

We consider the problems of robust stability and control for a class of networked control systems with long-time delays. Firstly, a nonlinear discrete time model with mode-dependent time delays is proposed by converting the uncertainty of time delay into the uncertainty of parameter matrices. We consider a probabilistic case where the system is switched among different subsystems, and the probability of each subsystem being active is defined as its occurrence probability. For a switched system with a known subsystem occurrence probabilities, we give a stochastic stability criterion in terms of linear matrix inequalities (LMIs). Then, we extend the results to a more practical case where the subsystem occurrence probabilities are uncertain. Finally, a simulation example is presented to show the efficacy of the proposed method.

scholarly journals Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Lina Rong ◽  
Chengda Yu ◽  
Pengfei Guo ◽  
Hui Gao
Keyword(s):  
Fault Detection ◽  
Control Systems ◽  
Time Delays ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
System States ◽  
Stochastic Uncertainties

The fault detection problem for a class of wireless networked control systems is investigated. A Bernoulli distributed parameter is introduced in modeling the system dynamics; moreover, multiple time delays arising in the communication are taken into account. The detection observer for tracking the system states is designed, which generates both the state errors and the output errors. By adopting the linear matrix inequality method, a sufficient condition for the stability of wireless networked control systems with stochastic uncertainties and multiple time delays is proposed, and the gain of the fault detection observer is obtained. Finally, an illustrated example is provided to show that the observer designed in this paper tracks the system states well when there is no fault in the systems; however, when fault happens, the observer residual signal rises rapidly and the fault can be quickly detected, which demonstrate the effectiveness of the 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.

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