广义系统的最优调节器设计方法

关于广义系统的最优调节器问题,如果系统的状态轨迹含有脉冲响应,相应的二次型性能指标为无穷大。因此只有排除脉冲模,广义系统的最优调节器问题才有意义。本文不象往常那样,把广义系统分解为指数模部分和脉冲模部分,而是采用它的一种标准形式,以便对系统施加几乎任意的状态反缋,来排除它的脉冲响应。在此基础上,导出了一种广义系统最优调节器的设计方法。

Design of Optimal Regulator for Generalized Systems

On the subject of optimal regulator for a generalized system,if the state trajectories of the system contain some impulses,the corresponding linear-quadratic performance index will become infinite.Therefore,only when the impulses are removed will the subject of designing optimal regulators make any sense.In contrast with the usual way by which the generalized system is decomposed into the exponential mode part and the impulsive mode part,this paper suggests that the system acquire a certain kind of standard form for feeding almost any possible state feedback to eliminate the impulses.On the basis,a designing method for the optimal regulator for the generalized system is derived.