scholarly journals H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains

2012 ◽  
Vol 135 (1) ◽  
Author(s):  
Chenyu Guo ◽  
Weidong Zhang
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Transition Probability ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropouts ◽  
Partly Unknown Transition Probabilities ◽  
Markovian Jump Linear Systems

This paper is concerned with the problem of H∞ estimation for networked control systems. Time delays and packet dropouts are considered simultaneously. The occurrence probability of each time delay is considered. The packet dropouts have the Bernoulli distributions. The system is modeled as Markovian jump linear systems with partly unknown transition probability. State observer is designed to estimate the practical state with H∞ feature. The estimation problem is cast into a set of linear matrix inequalities. An example is provided to illustrate the effectiveness and applicability of the proposed method.

Stability Analysis and Controller Design of Networked Control Systems with Packet Dropout

2012 ◽  
Vol 629 ◽  
pp. 835-839
Author(s):  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Markovian Jump Linear Systems ◽  
Special Cases ◽  
Stability And Stabilization

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two special cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed 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.

scholarly journals H∞Stochastic Control of a Class of Networked Control Systems with Time Delays and Packet Dropouts

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Jufeng Wang ◽  
Chunfeng Liu ◽  
Kai Li
Keyword(s):  
Control Systems ◽  
Stochastic Control ◽  
Time Delays ◽  
Networked Control Systems ◽  
Networked Control ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Packet Dropouts ◽  
Attenuation Level ◽  
Disturbance Attenuation Level

This paper studies theH-infinity stochastic control problem for a class of networked control systems (NCSs) with time delays and packet dropouts. The state feedback closed-loop NCS is modeled as a Markovian jump linear system. Through using a Lyapunov function, a sufficient condition is obtained, under which the system is stochastically exponential stability with a desiredH-infinity disturbance attenuation level. The designedH-infinity controller is obtained by solving a set of linear matrix inequalities with some inversion constraints. An numerical example is presented to demonstrate the effectiveness 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.

scholarly journals Stabilization for Networked Control Systems with Random Sampling Periods

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Yuan Li ◽  
Qingling Zhang ◽  
Shuanghong Zhang ◽  
Min Cai
Keyword(s):  
Markov Chains ◽  
Control Systems ◽  
Random Sampling ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Sampling Period ◽  
Networked Control ◽  
Linear Matrix ◽  
Random Delays

This paper investigates the stabilization of networked control systems (NCSs) with random delays and random sampling periods. Sampling periods can randomly switch between three cases according to the high, low, and medium types of network load. The sensor-to-controller (S-C) random delays and random sampling periods are modeled as Markov chains. The transition probabilities of Markov chains do not need to be completely known. A state feedback controller is designed via the iterative linear matrix inequality (LMI) approach. It is shown that the designed controller is two-mode dependent and depends on not only the currentS-Cdelay but also the most recent available sampling period at the controller node. The resulting closed-loop systems are special discrete-time jump linear systems with two modes. The sufficient conditions for the stochastic stability are established. An example of the cart and inverted pendulum is given to illustrate the effectiveness of the theoretical result.

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 Control for Networked Control Systems with Time Delays and Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yilin Wang ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Average Dwell Time ◽  
Networked Control ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Packet Dropouts ◽  
Attenuation Level ◽  
Mean Square Exponential Stability ◽  
Disturbance Attenuation Level

This paper is concerned with the control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired disturbance attenuation level. Then, the desired controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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.

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