奇异系统的无源性补偿算法  

Passivity enforcement scheme for descriptor systems

作　　者：闫旭[1] 李玉山[1] 丁同浩[1] 曲咏哲[1] 蒋冬初[1,2] 路建民[1] 

机构地区：[1]西安电子科技大学电路CAD研究所,陕西西安710071 [2]湖南城市学院通信与电子工程学院,湖南益阳413000

出　　处：《西安电子科技大学学报》2013年第3期188-193,220,共7页Journal of Xidian University

基　　金：国家自然科学基金资助项目(60871072;60672027);国家教育部博士点基金资助项目(20050701002);湖南省自然科学基金资助项目(10JJ6091);湖南省科技厅科技计划资助项目(2010FJ6015)

摘　　要：针对现有的奇异系统无源性补偿算法都需要系统分解,仿真时间较长的问题,提出了一种快速的无源性补偿方法.通过扰动状态方程的参数值构建目标函数和约束函数以形成二次规划问题,利用拉格朗日乘数法,将复杂的数值优化求解问题转变为简单的线性方程组求解问题,提高了仿真效率.数值例子表明,该方法在有限的仿真时间内精确补偿了宏模型的无源性.For the macromodel in descriplor systems, the existing methods reqmre system uecomposition, 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.

关 键 词：奇异系统 无源性 二次规划 

分 类 号：TN801[电子电信—信息与通信工程]