Non-Fragile Robust Controller Design for Nonlinear Stochastic System with Time-Delay

2012 ◽  
Vol 443-444 ◽  
pp. 452-458 ◽  
Author(s):  
Ya Jun Li ◽  
Fei Qi Deng ◽  
Yun Jian Peng
Keyword(s):  
Time Delay ◽  
Stochastic System ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Nonlinear Stochastic System ◽  
Robust Controller ◽  
System With Time Delay ◽  
Robust Controller Design

The problem of non-fragile memoryless controller design for a class of uncertain nonlinear stochastic system with time-delay is considered. Based on Lyapunov candidate and the stochastic Lyapunov stability theory, the sufficient conditions making the closed-loop system robust stable are given and de-rived. All results are given by the form of linear matrix inequality (LMI) method. Numerical example is given to illustrate the effectiveness of the controller designed.

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.

Robust H∞ Control for a Class of Nonlinear Uncertain Singular Systems with Time Delays both in State and Output

2013 ◽  
Vol 760-762 ◽  
pp. 1126-1130
Author(s):  
Jun Kang Hao ◽  
Guo Gang Li ◽  
Lian Qing Su
Keyword(s):  
Time Delays ◽  
Controller Design ◽  
Singular Systems ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Robust Performance ◽  
Robust Controller ◽  
Uncertain Singular Systems ◽  
Design Idea ◽  
Robust Controller Design

This paper discusses the problem of robust control for a class of nonlinear uncertain singular systems with time delays. Considering the nonlinear disturbance link to uncertain singular systems with time delays effects, the design idea of robust controller is presented. Using Lyapunov stability theory and linear matrix inequality (LMI) method, a robust controller design example of such nonlinear uncertain singular systems with time delays both in state and output is given. Under nonlinear uncertain functions satisfying Lipschitz condition, a sufficient condition of such nonlinear uncertain singular systems which are asymptotically stable and satisfy the robust performance is obtained. Finally, a numerical example is given to show the applicability of the proposed method.

Non-Fragile Decentralized Control for the Uncertain Singular Large-Scale Systems with Time-Delay

2011 ◽  
Vol 317-319 ◽  
pp. 2204-2207
Author(s):  
Dong Mei Yang ◽  
Qing Sun
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Decentralized Control ◽  
Large Scale ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Large Scale Systems ◽  
System With Time Delay

This paper is concerned with the non-fragile decentralized controller design problem for uncertain singular large-scale system with time-delay. Sufficient condition for the controller is expressed in terms of linear matrix inequalities(LMIs). When this condition is feasible, the desired controller can be obtained with additive gain perturbations and multiplicative gain perturbations. Finally, a numerical example is also given to illustrate the effectiveness.

scholarly journals Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 375
Author(s):  
Hejun Yao
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Actuator Saturation ◽  
Design Method ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Saturation Control ◽  
Systems Model

The problem of anti-saturation control for a class of time-delay systems with actuator saturation is considered in this paper. By introducing appropriate variable substitution, a new delay time-delay systems model with actuator saturation systems is established. Based on the Lyapunov stability theory, the stability condition and the anti-saturation controller design method are obtained by using the linear matrix inequality approach. By introducing the matrix into the Lyapunov function, the proposed conditions are less conservative than the previous results. Finally, a simulation example shows the validity and rationality of the method.

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