参数空间中多变量系统的鲁棒D-稳定性
Robust D-Stability of Mimo System in The Parameter Space
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摘要: 为了保证具有参数不确定性的多变量系统的D-稳定性,它们的参数最大允许摄动范围 将受到复平面中区域D以及标称系统的限制.利用系统临界D-稳定时的特性和线性算子范 数的特性,得到了这个范围半径的解析表达式.由于这个半径是以欧氏空间的一般范数表示 的,所以对于参数摄动范围是菱形、矩形、椭圆、对称多边形等情况,均可以利用它求出系统参 数的最大允许摄动范围.Abstract: In order to keep the D-stability of multivariable system with respect to parameter uncertainty, the largest region in which the parameters of the system are allowed to perturb is constrained by the region D in complex plane and its nominal system. The largest radius of the region is given by the condition of critical D-stability and character of linear operator. Because the radius is expressed with general norm, we can obtain several largest stable regions (such as parallelotopes, ellipsoides, polytopes el.) in parameter space.
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Key words:
- Multivariable system /
- robustness /
- D-stability /
- parmeter perturbation
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