采样控制系统提升技术的10年  

Ten years of the lifting technique for sampled-data control systems

作　　者：王广雄[1] 刘彦文 何朕[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001

出　　处：《电机与控制学报》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)

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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]