Robust Absolute Stabilization of Time-Varying Delay Systems with Maximum Admissible Perturbed Bound

Jie Jin

doi:10.4028/www.scientific.net/AMM.40-41.103

Paper Titles

Practical Time-to-Go Estimation Based on Constant Relative Acceleration
p.78

Control of Hopf Bifurcation in Power System
p.84

Acoustic Signals Analysis Based on Empirical Mode Decomposition and Spectrum Analysis Technique
p.91

The Design of Recirculating Aquaculture Temperature Control System Based on PLC
p.96

Robust Absolute Stabilization of Time-Varying Delay Systems with Maximum Admissible Perturbed Bound
p.103

Analysis and Simulation of DC-Turned Off High Temperature Superconducting Fault Current Limiter with Saturated Iron Core
p.111

Research on the Control System of Sort Instrument of Cigarette Draw Resistance
p.117

Multi-Source Information Fusion Based on Data Driven
p.121

The Modeling of Electromagnetic Linear Actuator for Vehicle Active Suspension System
p.127

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 40-41Robust Absolute Stabilization of Time-Varying...

Robust Absolute Stabilization of Time-Varying Delay Systems with Maximum Admissible Perturbed Bound

Abstract:

This paper is concerned the problem of robust absolute stabilization of time-varying delay systems with admissible perturbation in terms of integral inequality. A linear state-feedback control law is derived for one class of delay systems with sector restriction based on linear matrix inequality (LMI). Especially, this method does not require input terms are absolutely controllable for nonlinear delay systems. Numerical example is used to demonstrate the validity of the proposed method.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 40-41)

Pages:

103-110

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.40-41.103

Citation:

Cite this paper

Online since:

November 2010

Authors:

Jie Jin

Keywords:

Input Control, Linear Matrix Inequality (LMI), Nonlinear Delay System, State Feedback

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J.K. Hale, Theory of Functional Differential Equations M. New York: Spring-Verlag (1977).

Google Scholar

[2] Petar Kokotovic, Murat Arcak. Constructive Nonlinear Control: A Historical Perspective J. Automatica. Vol. 37(2001), p.637.

DOI: 10.5555/s0005-1098(01)00002-4

Google Scholar

[3] Richard, J. Time-delay Systems: An Overview of Some Recent Advances and Open Problems J. Automatica. Vol. 39(2003), p.1667.

DOI: 10.1016/s0005-1098(03)00167-5

Google Scholar

[4] Nian Xiaohong. Delay Dependent Conditions for Absolute Stability of Lurie tape Control Systems J. Acta automatica sinica. Vol. 25(1999), p.564.

DOI: 10.3724/sp.j.1004.2008.01275

Google Scholar

[5] He Yong, Wu Min. Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay J. Acta automatica sinica. Vol. 31(2005), p.475.

DOI: 10.3724/sp.j.1004.2010.00845

Google Scholar

[6] Yu Li. On the Absolute Stability of a Class of Time-Delay Systems J. Acta automatica sinica. Vol. 29(2003), p.780.

Google Scholar

[7] Gao Jinfeng, Yu Li. On the Robust Absolute Stability of Uncertain Time-delay Systems J. Control and Decision. Vol. 19(2004), p.114.

DOI: 10.1109/cdc.2003.1272192

Google Scholar