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Practical stability analysis and synthesis of linear descriptor systems with disturbances
  • 时间:0
  • 分类:TP301[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构:[1]Institute of Systems Science, Key Laboratory of Integrated Automation of Process Industry, Ministry of Education~ Northeastern University, Shenyang 110004, PRC
  • 相关基金:This wore was supported by National Natural Science Foundation of China (No:60574011).
  • 相关项目:导数项系数矩阵具有不确定性的广义系统的鲁棒控制
中文摘要:

这篇论文考虑易于变化时间、围住标准的外长的骚乱的线性描述符系统的实际稳定性分析和合成的问题。为常规、冲动免费、实际上稳定的系统的一个充分条件被导出。然后,综合问题被探讨,一个状态反馈控制器被设计。处理计算问题,主要结果的条件被变换成线性矩阵不平等(LMI ) 可行性问题。而且,二个优化算法被提出改进系统表演。最后,数例被给说明获得的结果。

英文摘要:

This paper considers the problems of practical stability analysis and synthesis of linear descriptor systems subject to timevarying and norm-bounded exogenous disturbances. A sufficient condition for the systems to be regular, impulsive-free and practically stable is derived. Then the synthesis problem is addressed and a state feedback controller is designed. To deal with the computational issue, the conditions of the main results are converted into linear matrix inequality (LMI) feasibility problems. Furthermore, two optimization algorithms are formulated to improve the system performances. Finally, numerical examples are given to illustrate the obtained results.

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