摘要
针对局部频率范围提出了窗口H∞范数的新概念,指出传统H∞范数是窗口H∞范数的特例.利用GKYP引理证明了广义界实定理,研究了线性控制系统在窗口频域的性能分析问题.基于近似模型匹配原则和广义界实定理,将控制器设计问题转化为窗口H∞范数优化问题.仿真实例表明,窗口H∞范数适于窗口频域的线性控制系统分析和设计.
A new conception of window H norm for local frequency range is presented, and it is stated that traditional H norm is a special case of window H norm. Generalized bounded real theorem is proved by using GKYP lemma, and performance analysis problems of linear control systems are investigated in window frequency domain. The controller design problems of linear control systems are converted into window H norm optimization problems based on approximate model matching principle and generalized bounded real theorem. Simulation examples demonstrate that the window H norm is suitable for the analysis and design of linear control systems in window frequency domain.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第9期1021-1024,1029,共5页
Control and Decision
关键词
窗口频域
窗口H∞范数
GKYP引理
广义界实定理
近似模型匹配
Window frequency domain
Window H norm
GKYP lemma
Generalized bounded real theorem
Approximate model matching