H-infinity synthesis using a bilinear pole shifting transform
H-infinity synthesis using a bilinear pole shifting transform
复制标题
使用双线性极移变换的 H 无穷综合
DOI：
10.2514/3.20957
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发表时间：
1992
影响因子：
2.6
通讯作者：
M. Safonov
中科院分区：
文献类型：
--
作者：
R. Chiang;M. Safonov
针对基准问题提出了 H 无穷大控制律设计，该基准问题由一对无阻尼弹簧耦合质量以及未并置的传感器和执行器组成。这个简单的机械系统捕获了更复杂的飞机和空间结构振动控制问题的许多显着特征。 H-无穷大问题公式可以直接解决面对大质量和弹簧常数变化时的稳定性鲁棒性问题。通过简单的 s 平面双线性变换来调节闭环主极点位置和稳定时间的约束。变换参数可以直接控制闭环扰动稳定时间和控制器开环零极点位置。发现四状态 H-无穷最小相位控制器满足每个设计的给定规格。还详细分析了传感器噪声与控制能量的权衡。
An H-inifinity control law design is presented for a benchmark problem consisting of an undamped pair of spring-coupled masses with a sensor and actuator that are not collocated. This simple mechanical system captures many of the salient features of more complex aircraft and space structure vibration control problems. The H-infinity problem formulation enables the issue of stability robustness in the face of large mass and spring constant variation to be directly addressed. Constraints on closed-loop dominant pole locations and settling time are accommodated via a simple s-plane bilinear transform. The transform parameter can give direct control of closed-loop disturbance settling time and controller open-loop pole-zero locations. A four-state H-infinity minimum phase controller was found to meet the given specifications of each design. Detailed analysis on the tradeoffs of sensor noise vs control energy are also presented.