摘要
针对受随机干扰的离散线性时不变系统的跟踪控制问题,采用信息论的方法讨论了系统获得有效跟踪性能的基本信息条件。从此条件出发,得出系统闭环传递函数设计的解析约束,表明了系统敏感函数与补敏感函数的Bode积分间的关系。对于开环传递函数严格正则的系统,这一约束反映了开环不稳定零极点应具备的特性。
Linear discretetime timeinvariant feedback systems disturbed by random processes are investigated from the viewpoint of information theory. Mutual information rate is employed as a measure of information transmission in systems to formulate the basic information condition of the tracking control problem. Based on this condition, a new design constraint is derived in dealing with the 'information destruction' induced by exogenous disturbance input. Such analytic constraint indicates a relation between Bode integrals of the sensitivity function and the complementary sensitivity function, and implies a requirement of the unstable poles and nonminimum phase zeros of the open loop transfer function when it is strictly proper.
出处
《控制与决策》
EI
CSCD
北大核心
2003年第5期597-599,603,共4页
Control and Decision
关键词
线性跟踪控制系统
随机干扰
互信息率
基本信息条件
Bode积分
解析约束
Linear tracking systems
Random disturbance
Mutual information rate
Basic information condition
Bode integral
Analytic constraint
