J4 ›› 2013, Vol. 40 ›› Issue (3): 188-193+220.doi: 10.3969/j.issn.1001-2400.2013.03.028

• Original Articles • Previous Articles     Next Articles

Passivity enforcement scheme for descriptor systems

YAN Xu1;LI Yushan1;DING Tonghao1;QU Yongzhe1;JIANG Dongchu1,2;LU Jianmin1   

  1. (1. Research Inst. of Electronic CAD, Xidian Univ., Xi'an  710071, China;
    2. School of Comm. and Electronic Eng., Hunan City Univ., Yiyang  413000, China)
  • Received:2012-02-20 Online:2013-06-20 Published:2013-07-29
  • Contact: YAN Xu E-mail:yanxu@mail.xidian.edu.cn

Abstract:

For the macromodel in descriptor systems, the existing methods require system decomposition, which greatly increase the compcatational time. A fast and efficient perturbation method is proposed for the passivity enforcement of S-parameter descriptor systems. The method generalizes quadratic programming with equality constraint introduced for regular systems which makes full use of matrix sparsity. It is implemented by perturbing some parameters of the DS to construct the objective function and constraint function of the quadratic programming problem. By using Lagrange multipliers, the complex optimization problem is transformed to a linear system solution, which greatly increases simulation efficiency. Numerical examples are presented to demonstrate the validity and efficiency of the proposed algorithm.

Key words: descriptor system, passivity, quadratic programming

CLC Number: 

  • TN801