scholarly journals A Switched Approach to Robust Stabilization of Multiple Coupled Networked Control Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Mei Yu ◽  
Nan Ding ◽  
Wen Tan ◽  
Junyan Yu
Keyword(s):  
Control Systems ◽  
State Feedback ◽  
Communication Channel ◽  
Networked Control Systems ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Feedback Controllers ◽  
Limited Communication ◽  
Controlled Systems

This paper proposes a switched approach to robust stabilization of a collection of coupled networked controlled systems (NCSs) with node devices acting over a limited communication channel. We suppose that the state information of every subsystem is split into different packets and only one packet of the subsystem can be transmitted at a time. Multiple NCSs with norm-bounded parameter uncertainties and multiple transmissions are modeled as a periodic switched system in this paper. State feedback controllers can be constructed in terms of linear matrix inequalities. A numerical example is given to show that a collection of uncertain NCSs with the problem of limited communication can be effectively stabilized via the designed controller.

Stabilization of Networked Control Systems with Uncertain Parameters

2012 ◽  
Vol 433-440 ◽  
pp. 7060-7066
Author(s):  
Fang Jin
Keyword(s):  
Control Systems ◽  
Uncertain Systems ◽  
Communication Channel ◽  
Networked Control Systems ◽  
Linear Matrix ◽  
Uncertain Parameters ◽  
Matrix Inequalities ◽  
Continuous Time Systems ◽  
Necessary And Sufficient ◽  
Time Systems

This paper addresses the problem of stabilizing linear continuous-time systems with uncertain parameters, where sensors, controllers and plants are connected by a digital communication channel. A necessary and sufficient condition for stabilization of linear uncertain systems is derived. The method to be proposed here relies on linear matrix inequalities. Simulation results show the validity of the proposed scheme.

Robust Control for Networked Control Systems With Admissible Parameter Uncertainties

2005 ◽  
Author(s):  
Kun Ji ◽  
Won-Jong Kim
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Feedback Controller ◽  
Dynamic State ◽  
Parameter Uncertainties ◽  
State Feedback Controller

In this paper, robust H∞ control problems for networked control systems (NCSs) with network-induced time delays and subject to norm-bounded parameter uncertainties are presented and solved. Based on a new discrete-time model, two approaches of robust controller design are proposed—design of a memoryless state-feedback controller and design of a dynamic state-feedback controller. The proposed memoryless state-feedback controller design method is given in terms of linear matrix inequalities (LMIs), and the delay bound can be computed by using the standard LMI techniques. A numerical example is given to illustrate the feasibility and effectiveness of this methodology. The proposed dynamic state-feedback controller design method is based on a discrete-time Artstein transform. With the sufficient conditions for robust stability and H∞ control developed in this paper, we also derive the upper bound of network-induced time delays and the lower bound of the network date-transmission rate that can be used as a guideline in choosing proper networks as communication media for NCSs. We constructed an NCS test bed to experimentally verify the feasibility and effectiveness of proposed design methodologies.

Robust Stabilization And Control Of Takagi-Sugeno Fuzzy Systems With Parameter Uncertainties And Disturbances Via State Feedback And Output Feedback

2020 ◽  
Vol 9 (3) ◽  
pp. 63-99
Author(s):  
Iqbal Ahammed A.K. ◽  
Mohammed Fazle Azeem
Keyword(s):  
Output Feedback ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Robust Stabilization ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Ts Fuzzy Model ◽  
Takagi Sugeno ◽  
And Control

Most of the systems in the industry contain extreme non-linearity and uncertainties, which are hard to design and control utilizing general nonlinear systems. To conquer this sort of troubles, different plans have been produced in the most recent two decades, among which a popular methodology is Takagi-Sugeno fuzzy control. In this article, we present robust stabilization and control of Takagi-Sugeno (T-S) fuzzy systems with parameter uncertainties and disturbances. Initially, Takagi and Sugeno (TS) fuzzy model is used to represent a nonlinear system. Based on this T-S fuzzy model, fuzzy controller design schemes for state feedback and output feedback is also developed. Then, necessary conditions are derived for robust stabilization in the intelligence of Lyapunov asymptotic stability and are expressed in the arrangement of linear matrix inequalities (LMIs). The proposed system is implemented in the working platform of MATLAB and the simulation results are provided to illustrate the effectiveness of the proposed methods.

scholarly journals Event-triggered robust H∞ control for uncertain networked control systems with time delay

2017 ◽  
Vol 40 (9) ◽  
pp. 2928-2947 ◽  
Author(s):  
Yubin Shen ◽  
Minrui Fei ◽  
Dajun Du ◽  
Chen Peng ◽  
Yu-Chu Tian
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Discrete Event ◽  
Network Capacity ◽  
Networked Control ◽  
Linear Matrix ◽  
Data Sampling ◽  
Sampled Data ◽  
Parameter Uncertainties ◽  
Event Triggered

H∞ control for networked control systems with exogenous disturbances and norm-bounded parameter uncertainties has been extensively investigated. However, how to better use the limited network capacity and computation resources while reducing the conservativeness of the H∞ control is still not fully understood. This paper presents a new dynamic discrete event-triggered scheme with improved modelling and control design to tackle this problem. The event-triggering is designed with periodic data sampling, and consequently the closed-loop system is formulated as a unified time-delayed model with the sampled data. From this model, an augmented Lyapunov–Krasovskii functional is constructed with triple-integral terms. A new free-weight matrix technique and the Wirtinger-based inequality are utilized over the Lyapunov–Krasovskii functional to derive a less conservative controller. This leads to two delay-range-dependent stability criteria in terms of linear matrix inequalities. Integrating all these components forms a co-design method for the minimum H∞ performance index and our event-triggered scheme. Simulation experiments are conducted to demonstrate the approach presented in this paper.

Robust Stabilization and Disturbance Rejection for a Class of Hybrid Linear Systems Subject to Exponential Uncertainty

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Fei Long ◽  
Changlin Li ◽  
Changzheng Cui ◽  
Shumin Fei
Keyword(s):  
Linear Systems ◽  
Disturbance Rejection ◽  
State Feedback ◽  
Robust Stabilization ◽  
Convex Polytope ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Feedback Controllers ◽  
Taylor Series Approximation ◽  
Model Subject

In this paper, we address the problem of robust stabilization and disturbance rejection for a class of hybrid linear systems subject to exponential uncertainties. By using Taylor series approximation and convex polytope technique, the exponentially uncertain hybrid linear system is transformed into an equivalent hybrid polytopic model subject to norm bounded uncertainty. For such equivalent hybrid linear model, we design its switching strategy and associated state feedback controllers so that such model is asymptotically stable with H∞ disturbance attenuation based on multiple Lyapunov function technology and linear matrix inequality (LMI) approach.

Predictive Control of Networked Control Systems with Time Varying Delay

2013 ◽  
Vol 446-447 ◽  
pp. 1239-1242
Author(s):  
Ling Li ◽  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Predictive Control ◽  
State Feedback ◽  
Networked Control Systems ◽  
Open Loop ◽  
Networked Control ◽  
Feedback Controllers ◽  
Stabilizing Controller ◽  
Time Varying Delay ◽  
Varying Delay

In this paper, the predictive control of a class of networked control systems (NCSs) with time delay is investigated. Under the assumptions of forward completeness of the open-loop system and the existence of a stabilizing controller, state feedback and output feedback controllers are designed which achieves global asymptotic stability. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

scholarly journals Network-Aware Design of State-Feedback Controllers for Linear Wireless Networked Control Systems

2018 ◽  
Vol 51 (16) ◽  
pp. 205-210 ◽  
Author(s):  
André M. de Oliveira ◽  
Vineeth S. Varma ◽  
Romain Postoyan ◽  
Irinel-Constantin Morǎrescu ◽  
Jamal Daafouz ◽  
...  
Keyword(s):  
Control Systems ◽  
State Feedback ◽  
Networked Control Systems ◽  
Networked Control ◽  
Feedback Controllers

scholarly journals Improved Stabilization Method for Lurie Networked Control Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Lei Ding ◽  
Shen-Ping Xiao ◽  
Fei Yu
Keyword(s):  
Control Systems ◽  
State Feedback ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Iteration Algorithm ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stabilization Method ◽  
The Relationship

The problem of stabilization of Lurie networked control systems (NCSs) is investigated in this paper. The network-induced delays in NCSs are assumed to be time-varying and bounded. By utilizing a reciprocally convex technique to consider the relationship between the network-induced delay and its varying interval, a new absolute stability condition is derived in terms of linear matrix inequalities (LMIs). Based on the obtained condition, an improved cone complementary linearisation (CCL) iteration algorithm is presented to design a state feedback controller. The effectiveness of the proposed method is verified by a numerical example.

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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