摘要
为了研究一阶控制器鲁棒镇定区间对象族问题,采用变长度棱边多项式和多项式矩阵的稳定性半径的概念,研究了区间镇定问题转化后的4个变长度棱边多项式的同时稳定问题,这4个变长度多项式可用标称系统和一个实参数表示,并给出了这个同时稳定问题转化后的实结构奇异值问题,利用MATLABΜ工具箱进行优化,可以确定稳定性半径。用数值实例对方法进行了验证。
The concepts of edge polynomials with variable length and real stability radii of polynomials matrices are being applied, the stability problem of control systems with interval type plants and the first order controller can be transformed into the problem of simultaneous stabilization of four polynomials with variable length, the problem can also be transformed into real structured singular values problem. Based on real structured singular values problem, μ Toolbox can be used to optimize the result. The stability radius of control system with interval type plants and first - order controller is determined. A illustrative example is given.
出处
《电机与控制学报》
EI
CSCD
北大核心
2005年第5期466-468,472,共4页
Electric Machines and Control
基金
国家自然科学基金项目(69904003)国家教育部博士点基金项目(199900701)
关键词
变长度棱边多项式
结构奇异值
同时稳定
edge polynomials with variable length
structured singular value
simultaneously stability
