| 不确定离散系统二次稳定的充分必要条件 |
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| 引用本文： | 陈文华,游庆华.不确定离散系统二次稳定的充分必要条件[J].南京航空航天大学学报(英文版),1996(2). |
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| 作者姓名： | 陈文华 游庆华 |
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| 作者单位： | 南京航空航天大学自动控制系(陈文华)，江苏理工大学电气工程系(游庆华) |
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| 摘 要： | 研究了具有快时变参数变化离散系统的鲁棒稳定性问题，给出了该系统二次稳定（ｑｕａｄｒａｔｉｃｓｔａｂｉｌｉｔｙ）的充要条件，并且进一步定义了稳定鲁棒性指标来度量系统的稳定鲁棒性。对于参数具有已知变化范围的系统，其充要条件的检验和稳定鲁棒指标的计算转化为一个极小极大优化问题。当参数变化范围为一个凸多面体时，该极大化问题退化成其端点值间的相互比较，并证明了极小化问题中的任意局部最小值就是全局最小值
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| 关 键 词： | 鲁棒控制 优化 离散时间系统 Lyapunov方法 |
NECESSARY AND SUFFICIENT CONDITIONS FOR QUADRATIC STABILITY OF UNCERTAIN DISCRETE TIME SYSTEMS |
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| Chen Wenhua,You Qinghua.NECESSARY AND SUFFICIENT CONDITIONS FOR QUADRATIC STABILITY OF UNCERTAIN DISCRETE TIME SYSTEMS[J].Transactions of Nanjing University of Aeronautics & Astronautics,1996(2). |
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| Authors: | Chen Wenhua You Qinghua |
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| Institution: | Chen Wenhua You Qinghua Department of Automatic Control,NUAA29 Yudao Street,Nanjing 210016,P. R. China Department of Electronic Engineering,Jiangsu Universityof Science & Technology,Zhenjiang 212013,P. R. China |
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| Abstract: | The robust stability analysis of discrete time systems with fast time varying uncertainties is considered in this paper. The necessary and sufficient conditions for quadratic stability are presented. Moreover, the stability robustness index is introduced as the measurement of the stability robustness. For the systems with given uncertain parameter bounds, checking the necessary and sufficient conditions and calculating the stability robust index are converted to solving minimax problems. It is shown that the maximization can be reduced to comparisons between the functional values of the corners when the parameter region is bounded by hyperpolydredon, and any local minimum value in the minimization is exactly the global minimum. |
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| Keywords: | robust control optimization discrete time systems Lyapunov method |
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