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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.8 P.1024~1033

http://doi.org/10.1631/jzus.A0720031


Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints


Author(s):  Deng-feng ZHANG, Hong-ye SU, Jian CHU, Zhi-quan WANG

Affiliation(s):  Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   myfeidfzhang@yahoo.com.cn, hysu@iipc.zju.edu.cn

Key Words:  Sensor faults, Multi-criterion constraints, Reliable guaranteed cost control (RGCC), Linear matrix inequality (LMI)


Deng-feng ZHANG, Hong-ye SU, Jian CHU, Zhi-quan WANG. Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints[J]. Journal of Zhejiang University Science A, 2008, 9(8): 1024~1033.

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author="Deng-feng ZHANG, Hong-ye SU, Jian CHU, Zhi-quan WANG",
journal="Journal of Zhejiang University Science A",
volume="9",
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year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0720031"
}

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%T Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints
%A Deng-feng ZHANG
%A Hong-ye SU
%A Jian CHU
%A Zhi-quan WANG
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 8
%P 1024~1033
%@ 1673-565X
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0720031

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T1 - Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints
A1 - Deng-feng ZHANG
A1 - Hong-ye SU
A1 - Jian CHU
A1 - Zhi-quan WANG
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 8
SP - 1024
EP - 1033
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Y1 - 2008
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0720031


Abstract: 
The suboptimal reliable guaranteed cost control (RGCC) with multi-criterion constraints is investigated for a class of uncertain continuous-time systems with sensor faults. A fault model in sensors, which considers outage or partial degradation of sensors, is adopted. The influence of the disturbance on the quadratic stability of the closed-loop systems is analyzed. The reliable state-feedback controller is developed by a linear matrix inequalities (LMIs) approach, to minimize the upper bound of a quadratic cost function under the conditions that all the closed-loop poles be placed in a specified disk, and that the prescribed level of H disturbance attenuation and the upper bound constraints of control inputs’ magnitudes be guaranteed. Thus, with the above multi-criterion constraints, the resulting closed-loop system can provide satisfactory stability, transient property, a disturbance rejection level and minimized quadratic cost performance despite possible sensor faults.

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