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.

scholarly journals Non-Fragile Robust H∞ Filtering of Takagi-Sugeno Fuzzy Networked Control Systems with Sensor Failures

Sensors ◽  
2019 ◽  
Vol 20 (1) ◽  
pp. 27 ◽  
Author(s):  
Hao Wang ◽  
Shousheng Xie ◽  
Bin Zhou ◽  
Weixuan Wang
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Sensor Failures ◽  
Takagi Sugeno ◽  
Filtering Problem

The fault-tolerant robust non-fragile H∞ filtering problem for networked control systems with sensor failures is studied in this paper. The Takagi-Sugeno fuzzy model which can appropriate any nonlinear systems is employed. Based on the model, a filter which can maintain stability and H∞ performance level under the influence of gain perturbation of the filter and sensor failures is designed. Moreover, the gain matrix of sensor failures is converted into a dynamic interval to expand the range of allowed failures. And the sufficient condition for the existence of the desired filter is derived in terms of linear matrix inequalities (LMIs) solutions. Finally a simulation example is given to illustrate the effectiveness of the proposed method.

scholarly journals Observer-based fault estimation for linear systems with distributed time delay

2013 ◽  
Vol 23 (2) ◽  
pp. 169-186 ◽  
Author(s):  
Anna Filasová ◽  
Daniel Gontkovič ◽  
Dušan Krokavec
Keyword(s):  
Time Delay ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Structured Matrix ◽  
Continuous Time Systems ◽  
Distributed Time Delay ◽  
And Performance ◽  
Time Systems

The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.

scholarly journals An Improved Antiwindup Design Using an Anticipatory Loop and an Immediate Loop

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Qing Wang ◽  
Maopeng Ran ◽  
Chaoyang Dong ◽  
Maolin Ni
Keyword(s):  
Linear Matrix Inequalities ◽  
Continuous Time ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
The Other ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Continuous Time Systems ◽  
Linear Invariant ◽  
Time Systems

We present an improved antiwindup design for linear invariant continuous-time systems with actuator saturation nonlinearities. In the improved approach, two antiwindup compensators are simultaneously designed: one activated immediately at the occurrence of actuator saturation and the other activated in anticipatory of actuator saturation. Both the static and dynamic antiwindup compensators are considered. Sufficient conditions for global stability and minimizing the inducedL2gain are established, in terms of linear matrix inequalities (LMIs). We also show that the feasibility of the improved antiwindup is similar to the traditional antiwindup. Benefits of the proposed approach over the traditional antiwindup and a recent innovative antiwindup are illustrated with well-known examples.

H-Infinity Robust Control Methodology of Multi-Variable NCSs

2010 ◽  
Vol 97-101 ◽  
pp. 2373-2376
Author(s):  
Li Sheng Wei ◽  
Ming Jiang ◽  
Qi Gong Chen ◽  
Min Rui Fei
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Controller ◽  
H Infinity ◽  
Control Methodology ◽  
Robust Controller Design

This note investigates H-infinity robust controller design for uncertain multi-variable networked control systems with disturbance. The complete mathematical model is derived. And the sufficient condition for asymptotical stability is analyzed by using 2nd Lyapunov stability theory combined with free-weighting matrices techniques. The existence of such a controller is given in terms of the solvability of linear matrix inequalities. The efficacy and feasibility of the proposed methods is shown by presenting simulation results.

New Approaches for Network-Based Control Systems with Time-Varying Delays

2012 ◽  
Vol 152-154 ◽  
pp. 1821-1827
Author(s):  
Zhong Min Liu ◽  
Yi Wei Feng ◽  
Dong Song Luo
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Communication Delays ◽  
Matrix Inequalities ◽  
Delay Distribution ◽  
Delay Control ◽  
Analysis And Synthesis ◽  
Synthesis Approach

In this paper, a delay distribution based stability analysis and synthesis approach for networked control systems (NCSs) of network communication delays is proposed. A bounded delay control model is established to describe the NCSs. Then, delay distribution-dependent NCSs stability criteria are derived in the form of linear matrix inequalities (LMIs). Also, the problem of HΚ performance analysis for NCSs with time varying delays components is also studied. The results are illustrated by 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.

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.

scholarly journals Adaptive Variable Structure Control for Mismatched Uncertain Systems

2016 ◽  
Vol 3 (1) ◽  
pp. 81
Author(s):  
Bach Hoang Dinh ◽  
Van Van Huynh
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Structure Control ◽  
Unknown Disturbances ◽  
System States ◽  
Necessary And Sufficient

This paper proposes an adaptive variable structure control (VSC) for a class of mismatched uncertain systems with unknown disturbances. First, a necessary and sufficient condition in terms of linear matrix inequalities is proposed to guarantee the system in sliding mode is asymptotically stable. Second, an adaptive output feedback variable structure controller is designed to force the system states reach the sliding surface and stay on it thereafter. Finally, the advantages and effectiveness of the proposed approaches are demonstrated via a numerical example.

Stabilization for Networked Control Systems with Limited Communication

2013 ◽  
Vol 397-400 ◽  
pp. 1963-1966
Author(s):  
Ying Ying Liu ◽  
Yun Kai Chu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Linear Matrix ◽  
Quantization Scheme ◽  
Matrix Inequalities ◽  
Delay Bound ◽  
The Relationship ◽  
Convex Condition

This paper studies the stabilization problems of networked control systems (NCSs) with dynamical quantizers. A new model is proposed that takes into consideration the effect of the network induced delay, the quantization levels, and based on this model, dynamical quantization scheme is introduced. The relationship between the delay bound，the quantization range and stability is given by using Lyapunov stability theory and linear matrix inequalities (LMIs) approach, and convex condition of the stabilization controller is presented. A simulation example shows the effectiveness of the proposed method.

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