摘要
由于早期的采样控制系统都是用离散化方法来设计的,但是实际上系统的性能应该是用连续信号来表示,所以为了解决用连续信号描述下的采样系统的H∞设计问题,出现了提升法。在对多种提升设计进行了对比分析后指出,提升方法并不能真正用于H∞优化设计,并给出了一种计算采样控制系统频率响应和L2诱导范数的方法。该方法具有清晰的物理概念,可以解决采样控制系统的H∞设计问题。
The early method for sampled-data systems is the classical discretization method, but the real performance of the system must be evaluated on the continuous-time signals. The lifting technique is thus emerged by the requirement of H∞ design. Various designs by using the lifting technique are compared and analyzed in this paper. And it is pointed out that the lifting technique is not suitable for H∞ optimal design. A method for computing the frequency response and the L2-induced norm of sampled-data control systems is given. It is simple and with clear physical meanings, and can be further used in the H∞ design of sampled-data control systems.
出处
《电机与控制学报》
EI
CSCD
北大核心
2006年第1期44-48,共5页
Electric Machines and Control
基金
哈尔滨工业大学重点学科建设基金资助项目(54100179)
关键词
采样控制
提升技术
L2诱导范数
频率响应
H∞优化设计
sampled-data control
lifting technique
L2-induced norm
frequency response
H∞ optimal design
