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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.6 P.833-839


Control synthesis for polynomial nonlinear systems and application in attitude control

Author(s):  Chang-fei TONG, Hui ZHANG, You-xian SUN

Affiliation(s):  Institute of Industrial Process Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   cftong@iipc.zju.edu.cn, zhanghui@iipc.zju.edu.cn

Key Words:  Nonlinear control, Attitude control, Polynomial systems

Chang-fei TONG, Hui ZHANG, You-xian SUN. Control synthesis for polynomial nonlinear systems and application in attitude control[J]. Journal of Zhejiang University Science A, 2008, 9(6): 833-839.

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author="Chang-fei TONG, Hui ZHANG, You-xian SUN",
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A1 - Chang-fei TONG
A1 - Hui ZHANG
A1 - You-xian SUN
J0 - Journal of Zhejiang University Science A
VL - 9
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EP - 839
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071486

A method for positive polynomial validation based on polynomial decomposition is proposed to deal with control synthesis problems. Detailed algorithms for decomposition are given which mainly consider how to convert coefficients of a polynomial to a matrix with free variables. Then, the positivity of a polynomial is checked by the decomposed matrix with semidefinite programming solvers. A nonlinear control law is presented for single input polynomial systems based on the Lyapunov stability theorem. The control synthesis method is advanced to multi-input systems further. An application in attitude control is finally presented. The proposed control law achieves effective performance as illustrated by the numerical example.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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