| 基于平方和规划法的一种估计系统吸引域的改进算法 |
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| 引用本文： | 隋吉超. 基于平方和规划法的一种估计系统吸引域的改进算法[J]. 科学技术与工程, 2012, 12(5): 978-981 |
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| 作者姓名： | 隋吉超 |
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| 作者单位： | 华南理工大学自动化科学与工程学院,广州,510641 |
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| 基金项目： | 广东省自然科学基金项目（10151064101000075）；中央高校基本科研业务费专项资金（20112M0126） |
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| 摘 要： | 对于一个不是全局渐近稳定的非线性系统，研究其吸引域有重要的意义，多项式系统是非线性系统中一类非常重要的系统。平方和规划方法（Sum of Squares Programming，SOSP）是近年来提出的一种分析多项式非线性系统的方法，但将其用于估计系统吸引域时会遇到未知量双线性问题，无法直接进行求解。本文针对这一问题提出了一种可靠的算法，从而可以使用平方和规划方法估计多项式系统的吸引域，同时具有较快的求解速度。仿真算例验证算法的可行性和高效性。
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| 关 键 词： | 吸引域；平方和规划；稳定性分析 |
| 收稿时间： | 2011-11-22 |
| 修稿时间： | 2011-11-22 |
An Improved Algorithm to Estimate the Domain of Attraction of System Based on Sum of Squares Programming |
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| Sui Jichao. An Improved Algorithm to Estimate the Domain of Attraction of System Based on Sum of Squares Programming[J]. Science Technology and Engineering, 2012, 12(5): 978-981 |
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| Authors: | Sui Jichao |
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| Affiliation: | (College of Automation Science and Engineering,South China University of Technology,Guangzhou 510641,P.R.China) |
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| Abstract: | For the nonlinear system which is not asymptotically stable globally,it is very significant to research its domain of attraction.Polynomial system is an important kind of nonlinear system.Sum of Squares Programming(SOSP) which is proposed these years is a method to analyze the nonlinear system formed by polynomials.However,there is a bilinear problem when it is used to estimate the system’s domain of attraction.A reliable algorithm is to solve this problem.Then the SOSP can be used to estimate the domain of attraction of the polynomial system and the computation speed is fast enough.The simulation example verified the feasibility and efficiency of the algorithm. |
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| Keywords: | domain of attraction sum of squares programming stability analysis |
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