摘要
通过对有限时间二次型最优调节器设计中矩阵Riccati微分方程的离散化 ,将微分方程化为代数方程 ,并将离散化后的代数方程通过变换使之成为矩阵Riccati代数方程的形式 ,利用MATLAB控制系统工具箱中计算无限时间二次型最优调节器的lqr( )函数 ,编程求解各离散时刻的矩阵Riccati代数方程 。
With the Riccati differential equation of linear quadratic optimal regulator within finite time discretized, the Riccati differential equation is changed into Riccati algebraic equation. By using the function of lqr() in MATLAB control system toolbox to solve Riccati algebraic equation, the numerical solution to both Riccati differential equation and the linear quadratic optimal control can be obtained.
出处
《南京师范大学学报(工程技术版)》
CAS
2003年第1期30-33,共4页
Journal of Nanjing Normal University(Engineering and Technology Edition)
基金
江苏省教育厅重点课题 ( 0 2KJA470 0 0 1)