scholarly journals Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H∞Norm and Lambert W Function

2013 ◽  
Vol 62 (8) ◽  
pp. 1144-1150 ◽  
Author(s):  
Beomsoo Kim
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Singularly Perturbed ◽  
Lambert W Function ◽  
Singularly Perturbed Systems ◽  
Stabilizing Controller ◽  
Perturbed Systems

scholarly journals Passive Control andε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Singular Perturbation ◽  
Passive Control ◽  
Controller Design ◽  
Design Method ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Storage Function ◽  
Rlc Circuit ◽  
Perturbed Systems

This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties. By a novel storage function depending on the singular perturbation parameterε, a new method is proposed to estimate theε-bound, such that the system is passive when the singular perturbation parameter is lower than theε-bound. Furthermore, a controller design method is proposed to achieve a predefinedε-bound. The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general. Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.

scholarly journals Stability bound analysis of singularly perturbed systems with time-delay

2013 ◽  
Vol 19 (4) ◽  
pp. 505-511 ◽  
Author(s):  
Fengqi Sun ◽  
Chunyu Yang ◽  
Qingling Zhang ◽  
Yongxiang Shen
Keyword(s):  
Time Delay ◽  
Singularly Perturbed ◽  
Stability Criteria ◽  
Singularly Perturbed Systems ◽  
Numerical Examples ◽  
Stability Bound ◽  
Perturbed Systems ◽  
The Stability ◽  
Bound Analysis

This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.

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