学术
导数反馈下闭环广义系统的稳定性
滕毓发[1,2,3] 张庆灵[1,3]
[1]东北大学系统科学研究所,辽宁沈阳110004 [2]徐州空军学院基础部,江苏徐州221000 [3]东北大学流程工业综合自动化教育部重点实验室,辽宁沈阳110004
摘 要:
针对导数反馈下闭环广义系统的稳定性问题，利用一种受限等价意义下的矩阵束分解，首先给出在不同动态阶（从最小到最大阶）下消除脉冲行为的充分条件．并根据各种动态阶，分别给出导数反馈控制器的设计方法．进而给出导数反馈下闭环广义系统稳定及局部导数反馈下闭环广义关联大系统的分散稳定的充分条件．最后用数值算例来验证所给结果的有效性．[著者文摘]
文章出处:
《控制理论与应用》-2008年25卷1期 -21-26页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1000-8152（2008）01-0021-06
Stabilization for the closed-loop descriptor system via derivative feedback
TENG Yu-fa, ZHANG Qing-ling （1. Institute of Systems Science, Northeastern University, Shenyang Liaoning 110004 China; 2. Department of Fundamental Courses, Xuzhou Air Force Academy, Xuzhou Jiangsu 221000 China; 3. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education,Northeastern University, Shenyang Liaoning 110004 China）
Abstract:
The stabilization for the closed-loop descriptor systems under the derivative feedback is studied by using the decomposition of matrix pencils under a sense of limited equivalence. The sufficient conditions are obtained for the elimination of pulse behavior under dynamic orders （from minimum to maximum）. Different methods are then given for the design of derivative feedback controllers according to the orders. Furthermore, sufficient conditions are given for both the stabilization for the closed-loop descriptor systems under derivative feedback and the decentralized stabilization for the closed-loop large-scale interconnected descriptor systems under partial derivative feedback. A numerical example is given to verify the effectiveness of the results.[著者文摘]
Key words:
closed-loop descriptor system; derivative feedback; K-impulse controllability; L-impulse controllability; dynamic order; stabilization
基金资助:
国家杰出青年科学基金资助项目（51685168）;教育部重点科研基金资助项目（02152）.
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