[1]WANG Kun,ZHU Zuojian.Robust Control for a Class of Uncertain Nonlinear Systems with Input and State Delays[J].Journal of Zhengzhou University (Engineering Science),2012,33(06):27-31.[doi:10.3969/j.issn.1671-6833.2012.06.007]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
33
Number of periods:
2012 06
Page number:
27-31
Column:
Public date:
2012-11-10
- Title:
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Robust Control for a Class of Uncertain Nonlinear Systems with Input and State Delays
- Author(s):
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WANG Kun; ZHU Zuojian
-
College of Sciences,Yanshan University,Qinhuangdao 066004,China
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- Keywords:
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input delay; state delay; nonlinear perturbation; robust control; matrix analysis; linear matrix inequality; sufficient condition ; controller
- CLC:
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TP 273
- DOI:
-
10.3969/j.issn.1671-6833.2012.06.007
- Abstract:
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The robust asymptotic stability probiem and state feedback controller problem for a class of uncer.tain systems are considered in view of the fact that the system contains input delay, state delay and nonlinealperturbation. Based on matrix analysis theory and robust stability theory, a sufficient condition of robust as.ymptotic stability for the system is derived. And in this process, the proper integral form of Lyapunov functionwas chosen, the properties of the linear matrix inequality ( LMl) and Schur lemma were used . Moreover, acorresponding state feedback controller for the system was given to ensure the robust asymptotic stability ofsuch systems. Finally, the feasibility and efficiency of the suficient condition and controller were verifed bynumerical simulation , which was conducted through the LMI toolbox in MATLAB.