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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:FU Yan-ming,Zhang BO,DUAN Guang-ren.Robust reliable H_∞ control for a class of uncertain time-delay systems[J].Journal of Harbin Institute Of Technology(New Series),2009,16(1):11-15.DOI:10.11916/j.issn.1005-9113.2009.01.003.
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Robust reliable H_∞ control for a class of uncertain time-delay systems
Author NameAffiliation
FU Yan-ming Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001,China 
Zhang BO Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001,China 
DUAN Guang-ren Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001,China 
Abstract:
This paper deals with the problem of robust reliable H∞ control for a class of uncertain nonlinear systems with time-varying delays and actuator failures. The uncertainties in the system are norm-bounded and time-varying. Based on Lyapunov methods, a sufficient condition on quadratic stabilization independent of delay is obtained. With the help of LMIs (linear matrix inequalities) approaches, a linear state feedback controller is designed to quadratically stabilize the given systems with a H∞ performance constraint of disturbance attenuation for all admissible uncertainties and all actuator failures occurred within the prespecified subset. A numerical example is given to demonstrate the effect of the proposed design approach.
Key words:  time-delay systems  robust H∞ control  reliable control  Lyapunov stability  linear matrix inequalities  actuator failures
DOI：10.11916/j.issn.1005-9113.2009.01.003
Clc Number:TP13
Fund:

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