scholarly journals Stabilization of Networked Control Systems with Induced Delays and Actuator Saturation

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Luo Zhang ◽  
Mou Chen ◽  
Qingxian Wu ◽  
Bei Wu
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Actuator Saturation ◽  
Networked Control Systems ◽  
Input Saturation ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Linear Matrix ◽  
Control Approach ◽  
Weighting Matrix

The problem of state feedback stabilization is studied for networked control systems (NCSs) subject to actuator saturation and network-induced delays. To facilitate the controller design, the NCSs are modeled as a class of discrete-time systems with bounded delays and input saturation. Based on Lyapunov-Krasovskii theory and free weighting matrix approach, the sufficient condition is derived in terms of linear matrix inequality for the asymptotic stability. Finally, the effectiveness of the developed control approach is proved through 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.

Probabilistic Design of Networked Control Systems With Uncertain Time Delay

2007 ◽  
Author(s):  
Bei Lu
Keyword(s):  
Control Systems ◽  
Real Time ◽  
Networked Control Systems ◽  
State Feedback Control ◽  
Networked Control ◽  
Linear Matrix ◽  
Probabilistic Design ◽  
Time Sharing ◽  
Control Approach ◽  
Space Data

Networked control systems (NCSs), where control loops are closed through a real-time network, have been adopted in many application areas. Examples include manufacturing plants, automobiles, aircraft, and spacecraft. However, the insertion of a real-time network introduces time delays due to time-sharing of the communication media. The network-induced delay can degrade the performance of an NCS, and can even destabilize the system. Due to its random nature, in this paper, we apply the promising probability robust control approach to handle the network-induced delay, which is modeled as an uncertainty governed by a probability distribution function. With considering both stability and performance of NCSs in the stage of control design, we propose the synthesis condition of ℋ∞ state-feedback control of NCSs. It is formulated as a set of linear matrix inequalities with uncertain parameter present in the the state-space data. The ellipsoid randomized algorithm is applied to solve the matrix variables and design a probabilistic robust controller. A numerical example is given to demonstrate the probabilistic design method for NCSs.

L1 control for Itô stochastic nonlinear networked control systems

2020 ◽  
Vol 42 (14) ◽  
pp. 2675-2685
Author(s):  
Ji Qi ◽  
Yanhui Li
Keyword(s):  
Control Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Networked Control Systems ◽  
Fuzzy Model ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Data Packet Dropout ◽  
Nonlinear Networked Control Systems

This paper investigates L1 control problem for a class of nonlinear stochastic networked control systems (NCSs) described by Takagi-Sugeno (T-S) fuzzy model. By exploiting a delay-dependent and basis-dependent Lyapunov-Krasovskii function and by means of the Itô stochastic differential equation technique, results on stability and L1 performance are proposed for the T-S fuzzy stochastic NCS. Specially, attention is focused on the fuzzy controller design that guarantees the closed-loop T-S fuzzy stochastic NCS is mean-square asymptotically stable and satisfies a prescribed L1 noise attenuation level [Formula: see text] with respect to all persistent and amplitude-bounded disturbance input signals. To reduce the conservatism of design, the signal transmission delay, data packet dropout, and quantization have been taken into consideration in the controller design. The corresponding design problem of L1 controller is converted into a convex optimization problem by solving a set of linear matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the feasibility and effectiveness of the proposed method.

scholarly journals DistributedH∞Consensus Control of Networked Control Systems with Time-Triggered Protocol

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Ronghua Xie ◽  
Weihua Fan ◽  
Qingwei Chen
Keyword(s):  
Control Systems ◽  
Distributed Control ◽  
Closed Loop ◽  
Controller Design ◽  
Networked Control Systems ◽  
Networked Control ◽  
Consensus Control ◽  
Control Approach ◽  
Analysis And Design ◽  
Basic Ideas

The analysis and design of traditional networked control systems focused on single closed-loop scenario. This paper introduces a distributed control approach for the networked control systems (NCSs) with multiple subsystems based on a time-triggered network protocol. Firstly, some basic ideas of the time-triggered protocol are introduced and a time schedule scheme is employed for the NCS. Then, a novel model is proposed to the NCS regarding the network-induced delay. The resulting closed-loop system is time-delay linear system considering a distributed control law. A sufficient condition toH∞consensus control is present based on the Lyapunov-Krasovskii function. Also, the controller design approach towards the givenH∞performance index is given by a cone complement linearization and iterative algorithm. Finally, numerical examples are given to validate the approach.

H∞ Robust Control for Networked Control System with Short Time-Delay

2014 ◽  
Vol 556-562 ◽  
pp. 5501-5505 ◽  
Author(s):  
Ping Qian ◽  
Wen Rui Wang ◽  
Xue Qiang Li ◽  
Yin Zhong Ye
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Short Time ◽  
Short Time Delay

For a kind of networked control systems with short time-delay, establish discrete time-invariant system model. Construct the Lyapunov function based on the Lyapunov asymptotic stability principle. Using Linear Matrix Inequalities method given the sufficient condition of H∞ robust controller design method of closed-loop feedback control systems. Matlab simulation indicates the effectiveness and correctness of the controller design.

scholarly journals Delay-Dependent Fuzzy Control of Networked Control Systems and Its Application

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Hongbo Li ◽  
Fuchun Sun ◽  
Zengqi Sun
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Stability Conditions ◽  
The Stability ◽  
Delay Dependent ◽  
Takagi Sugeno

This paper is concerned with the state feedback stabilization problem for a class of Takagi-Sugeno (T-S) fuzzy networked control systems (NCSs) with random time delays. A delay-dependent fuzzy networked controller is constructed, where the control parameters are ndependent on both sensor-to-controller delay and controller-to-actuator delay simultaneously. The resulting NCS is transformed into a discrete-time fuzzy switched system, and under this framework, the stability conditions of the closed-loop NCS are derived by defining a multiple delay-dependent Lyapunov function. Based on the derived stability conditions, the stabilizing fuzzy networked controller design method is also provided. Finally, simulation results are given to illustrate the effectiveness of the obtained results.

State Feedback Stabilization of Networked Control Systems With Random Time Delays and Packet Dropout

2008 ◽  
Author(s):  
Bo Yu ◽  
Yang Shi
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
State Feedback ◽  
Networked Control Systems ◽  
The State ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Random Time ◽  
Linear Matrix ◽  
Packet Dropout

This article considers the state feedback controller design in the networked control systems (NCSs). The network-induced random time delays and packet dropout existing in sensor-to-controller (S-C) and controller-to-actuator (C-A) links are modeled by two Markov chains. The controller incorporates not only the current S-C delay but also the most recent C-A delay to exploit all available information. Then, the system is converted to be a special jump linear system. The sufficient and necessary conditions for stochastic stability are derived and the state feedback stabilization problem is formulated to be an optimization problem solved by the iterative linear matrix inequality (LMI) approach. A design example is given to illustrate the effectiveness of the proposed method.

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