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一种优化控制条件下的黎卡提方程的解析解
An Analytical Method for Ricatti Equation under Optimal Control
【摘要】 提出了一种用分块求解黎卡提方程的方法 ,利用控制条件中的系数特征把一个非线性方程组分解成若干个相互独立的线性和非线性方程组 ,这样能使求解过程大大简化 ,节省工作量 ,使黎卡提方程在最优控制过程中能得到最优解。并以轿车主动悬架最优控制模型作为应用实例 ,推导了特定控制条件下黎卡提方程的解析解。通过实例证明文中提出的分块求解黎卡提方程方法是完全可行的。
【Abstract】 The sub solving method for Ricatti equation forwarded can simplify the solution process enormously and save the calculation work greatly. By making full use of the coefficient characteristic of the control, we resolve a set of nonlinear equations to a certain number of independent sets of linear/nonlinear equations. An optimum control model of active suspension is investigated with this method, and the analytic solution under a certain control condition is deduced. It is shown that subsolving method is reasonable with this optimum control example.
【Key words】 engineering control theory; sub solving method; Ricatti equation; control condition;
- 【文献出处】 华东船舶工业学院学报 ,JOURNAL OF EAST CHINA SHIPBUILDING INSTITUTE , 编辑部邮箱 ,2000年02期
- 【分类号】O231
- 【被引频次】1
- 【下载频次】380