研究离散时滞系统的次优控制问题.通过在系统中引入一个灵敏度参数并将系统变量关于灵敏度参数展开Maclaurin级数,使求解最优控制的两点边值问题化为一族线性两点边值问题.利用截取最优控制级数的有限项构成系统的次优控制律.实例证明该方法计算量较少.
The suboptimal control for discrete linear system with time delay is presented.By introducing a sensitive parameter and expanding system variable on the sensitive parameter as Maclaurin series,a two-point boundary value problem to a group of linear ones is transformed.Taking a finite iterative value of optimal solutions,a suboptimal control law is obtained.A simulation example is given to test the validity of the algorithmic.