Stabilization of descriptor system with uncertainties in the derivative coefficient matrix

To the robust normalization and robust stabilization for the descriptor systems with uncertain parameters, the matrix inequations and Lyapunov ineqation are used to get, respectively, sufficient conditions for the normalization of closed-loop descriptor systems via proportional and derivative state...

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Published in2010 Chinese Control and Decision Conference pp. 3468 - 3472
Main Authors Yufa Teng, Mingxue Zhang, Fuhong Wang, Qingling Zhang, Jianzhong Hao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2010
Subjects
Chemical engineering
Descriptor system
Educational institutions
Feeds
Interference elimination
Large-scale systems
Output feedback
PDOF
PDSF
Robust normalization
Robust stabilization
Robustness
State feedback
Sufficient conditions
Uncertainty
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Abstract To the robust normalization and robust stabilization for the descriptor systems with uncertain parameters, the matrix inequations and Lyapunov ineqation are used to get, respectively, sufficient conditions for the normalization of closed-loop descriptor systems via proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF), a sufficient condition for the robust stabilization of uncertain descriptor systems via PDSF, and a sufficient condition for robust stabilization of the uncertain interconnected large-scale systems. A numerical example is given for the verification of the results.
AbstractList To the robust normalization and robust stabilization for the descriptor systems with uncertain parameters, the matrix inequations and Lyapunov ineqation are used to get, respectively, sufficient conditions for the normalization of closed-loop descriptor systems via proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF), a sufficient condition for the robust stabilization of uncertain descriptor systems via PDSF, and a sufficient condition for robust stabilization of the uncertain interconnected large-scale systems. A numerical example is given for the verification of the results.
Author Qingling Zhang
Fuhong Wang
Jianzhong Hao
Yufa Teng
Mingxue Zhang
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  surname: Jianzhong Hao
  fullname: Jianzhong Hao
  organization: Xuzhou Air Force Acad., Xuzhou, China
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Snippet To the robust normalization and robust stabilization for the descriptor systems with uncertain parameters, the matrix inequations and Lyapunov ineqation are...
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StartPage 3468
SubjectTerms Chemical engineering
Descriptor system
Educational institutions
Feeds
Interference elimination
Large-scale systems
Output feedback
PDOF
PDSF
Robust normalization
Robust stabilization
Robustness
State feedback
Sufficient conditions
Uncertainty
Title Stabilization of descriptor system with uncertainties in the derivative coefficient matrix
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