Earticle

초록

영어

Aimed at that standard interval arithmetic is easy to cause error explosion, as well as traditional affine arithmetic is easy to cause calculation error due to not considering the correlation among the first degree item, quadratic term, even the multiple-item and the nonlinear term expressed by the same noise, this paper proposed an improved algorithm which took affine algorithm operation as the main body. When there are those correlation items, the algorithm calculates the upper and lower bound of their total value by interval arithmetic, then uses the bound information and introduces the new noise affine form to instead of those terms. The method improved the conventional affine operation by combining interval arithmetic. When it applied to calculate the nonprobabilistic reliability index, the calculation results has higher accuracy than the interval arithmetic and the conventional affine algorithm, and it has strong practical significance.

목차

Abstract
 1. Introduction
 2. Affine Forms and Affine Arithmetic
  2.1. Affine Forms
  2.2. Affine Arithmetic
 3. Non-Probabilistic Reliability Affine Arithmetic
 4. The Improving of Affine Arithmetic
 5. Calculating Example
  5.1. Calculating Example 1
  5.2. Calculating Example 2
 6. Conclusions
 Acknowledgment
 References

키워드

저자

• Sun Jianping [ School of Traffic & Transportation Engineering, Central South University, Changsha Hunan, 410075, China, School of Railway Transportation, East China Jiao Tong University, Nanchang Jiangxi, 330013, China ]
• Yiping Luo [ School of Traffic & Transportation Engineering, Central South University, Changsha Hunan, 410075, China ]
• Tang Zhaoping [ School of Traffic & Transportation Engineering, Central South University, Changsha Hunan, 410075, China, School of Railway Transportation, East China Jiao Tong University, Nanchang Jiangxi, 330013, China ]
• Hu Yutao [ School of Railway Transportation, East China Jiao Tong University, Nanchang Jiangxi, 330013, China ]
• Zhou Xinjian [ School of Railway Transportation, East China Jiao Tong University, Nanchang Jiangxi, 330013, China ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Control and Automation

• 간기

  월간

• pISSN

  2005-4297

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605