Unfragile Control of Uncertain State-Delay Sampled-Data System

2012 ◽  
Vol 433-440 ◽  
pp. 7499-7504
Author(s):  
Xue Liang Wang
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Lyapunov Method ◽  
Data System ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampled Data ◽  
State Delay ◽  
Numerical Example

The unfragile control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.

Unfragile Passive Control of Uncertain Sampling System

2013 ◽  
Vol 325-326 ◽  
pp. 1170-1175
Author(s):  
Qing Zhi Liu
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Passive Control ◽  
Lyapunov Method ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampling System ◽  
State Delay ◽  
Index Terms

The unfragile passive control problem of a class of uncertain state-delay sampling system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile passive controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.Index Terms - Uncertain State-delay Sampling System , Linear Matrix Inequility , Unfragile Passive Control .

Unfragile Guaranteed-Cost Control of Uncertain State-Delay Sampling System

2014 ◽  
Vol 513-517 ◽  
pp. 4261-4264
Author(s):  
Yu Ping Li ◽  
Chun Ping Ai ◽  
Xue Liang Wang
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Cost Control ◽  
Lyapunov Method ◽  
Guaranteed Cost Control ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampling System ◽  
State Delay ◽  
Guaranteed Cost

The unfragile guaranteed-cost control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile guaranteed-cost controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.

Observer Design for Lipschitz Nonlinear Systems with Output Uncertainty

2014 ◽  
Vol 533 ◽  
pp. 277-280
Author(s):  
Wei Zou ◽  
Yu Sheng Liu ◽  
Kai Liu
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Lyapunov Method ◽  
Observer Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Output Uncertainty ◽  
Lipschitz Nonlinear Systems ◽  
Simulation Results

This paper presents an observer design for Lipschitz nonlinear systems with output uncertainty. By means of Lyapunov method as well as linear matrix inequality (LMI), the observer gain matrix is determined and a sufficient condition ensuring the asymptotic stability of the observer is proposed. Simulation results demonstrate the robustness of the proposed observer for output uncertainty.

Robust Stability of Sampling System with Input Time-Delay

2014 ◽  
Vol 494-495 ◽  
pp. 1239-1241
Author(s):  
Dan Liu ◽  
Li Fu Zhang ◽  
Bao Bin Xie
Keyword(s):  
Time Delay ◽  
Bounded Variation ◽  
Robust Stability ◽  
Sufficient Condition ◽  
Sampling System ◽  
Numerical Example ◽  
Long Time ◽  
Input Time ◽  
System Time

This paper studies the problem of robust stability of sampling system with long time-delay. In such system, time-delay and norm-bounded variation has been considered, and then, a sufficient condition of robust stability is derived Lyapunov-based method. Finally, feasibility and effectiveness has been shown by a numerical example.

scholarly journals Group Synchronization of Nonlinear Complex Dynamics Networks with Sampled Data

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Man Li ◽  
Bo Liu ◽  
Yuqing Zhu ◽  
Lijun Wang ◽  
Mei Zhou
Keyword(s):  
Complex Networks ◽  
Lyapunov Method ◽  
Complex Dynamics ◽  
Complex Dynamical Networks ◽  
Matrix Inequality ◽  
Sampled Data ◽  
Consensus Protocol ◽  
Synchronous State ◽  
Group Synchronization ◽  
Theoretical Results

Based on a nonlinear consensus protocol, this paper considers the group synchronization of complex dynamical networks with sampled data. Using the Lyapunov method, the group synchronization of the nonlinear complex networks is analyzed. All the nodes in each group can converge to their own synchronous state asymptotically, if the sampled period satisfies some matrix inequality conditions. Furthermore, the theoretical results are verified by some simulations.

scholarly journals Improvements on Robust Stability of Sampled-Data System with Long Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Shigang Wang ◽  
Yongli Bi ◽  
Yingsong Li
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Data System ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Sampled Data ◽  
Weighing Matrices ◽  
Decision Variables ◽  
Robust Stability Analysis ◽  
Long Time

This paper mainly studies the problem of the robust stability analysis for sampled-data system with long time delay. By constructing an improved Lyapunov-Krasovskii functional and employing some free weighting matrices, some new robust stability criteria can be established in terms of linear matrix inequalities. Furthermore, the proposed equivalent criterion eliminates the effect of free weighing matrices such that numbers of decision variables and computational burden are less than some existing results. A numerical example is also presented and compared with previously proposed algorithm to illustrate the feasibility and effectiveness of the developed results.

Robust Nonfragile Decentralized Controller Design for Uncertain Large-Scale Interconnected Systems With Time-Delays

2002 ◽  
Vol 124 (2) ◽  
pp. 332-336 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Time Delays ◽  
Large Scale ◽  
Lyapunov Method ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Large Scale Systems ◽  
Controller Gain ◽  
Decentralized Controllers

This paper describes the synthesis of robust nonfragile decentralized controllers for uncertain large-scale systems with time-delays in the subsystem interconnections and controller gain variations. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI), and the measure of nonfragility in controller is presented.

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