论文部分内容阅读
研究了一类广义离散时间线性系统的预见控制问题.首先通过对系统方程,误差向量和可预见的目标值信号取差分,构造出一个扩大误差系统,把广义系统的预见控制问题转化为一个形式上的普通广义系统的控制问题.然后利用广义系统最优控制理论的结果,得到广义系统的带有预见前馈补偿的控制器.同时通过详细推导,把一个阶数很高的矩阵Riccati方程降为一个阶数很低的Riccati方程,从而使闭环系统可以实现.
The problem of predictive control for a class of generalized discrete-time linear systems is studied. First, by taking the difference of system equations, error vectors and predictable target values, an extended error system is constructed to convert the predictive control problem of a generalized system into a form Then using the result of generalized system optimal control theory, the controller of generalized system with predictive feedforward compensation is obtained.At the same time, through a detailed derivation, a high-order matrix Riccati equation is reduced For a low order Riccati equation, so that the closed-loop system can be achieved.