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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (6): 833-839    DOI: 10.1631/jzus.A071486
Electrical & Electronic Engineering     
Control synthesis for polynomial nonlinear systems and application in attitude control
Chang-fei TONG, Hui ZHANG, You-xian SUN
Institute of Industrial Process Control, Zhejiang University, Hangzhou 310027, China
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Abstract  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.

Key words： Nonlinear control      Attitude control      Polynomial systems     
Received: 11 September 2007     
CLC:  TP273  
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Chang-fei TONG
Hui ZHANG
You-xian SUN
Cite this article:

Chang-fei TONG, Hui ZHANG, You-xian SUN. Control synthesis for polynomial nonlinear systems and application in attitude control. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(6): 833-839.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A071486     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I6/833

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