摘要
针对不确定系统的区间表示不能描述变量间的相关性,相应的区间算法容易导致误差爆炸的缺点,提出了不确定系统的仿射表示法及系统稳定性的仿射不等式判断方法。首先将系统中的不确定信息用仿射参数来表示,得到不确定控制系统传递函数的仿射形式,然后通过求解含仿射参数的不等式组求得了满足系统的稳定性条件时各噪声允许的范围。算例表明,由于考虑了变量间的相关性,相对于区间算法,所提方法可以在更大的不确定范围内判断出系统的稳定性,算例验证了该方法的有效性。
To avoid the problem that the interval arithmetic for uncertain systems usually ignores correlations among variables, thus causing the errors explosion in computations, the paper proposes an affine expression method for uncertain systems and a method for analysis of uncertain systems＇ stability using the affine inequality judgment. Firstly, affine expressions of transfer functions for uncertain control systems are obtained by denoting uncertain information as affine parameters, and then the inequalities with affine parameters are solved and the allowable noise ranges satisfying system stability conditions are found. Compared to the interval arithmetic, the proposed method considers correlations among variables and can judge the stability of uncertain systems in a larger range, which was validated by a computation example.
出处
《高技术通讯》
EI
CAS
CSCD
北大核心
2009年第8期867-871,共5页
Chinese High Technology Letters
基金
863计划(2006AA04Z402)
国防预研(Y13406040101)资助项目
