摘要
本文讨论奇异条件下Rjccati代数方程,基于结构力学与LQ控制的模拟关系,将奇异条件下的控制问题转化为有约束条件下的控制问题,使有偿控制量的维数减少,同时分离出了同样维数的无偿控制变量。进而提出了Riccati代数方程的迭代解法,并给出了相应的例题。
The algebraic Riccati equation under the singular condition is discussed in this paper. Based on the simulation between structure mechanics and optimal control, the singular control problem is changed as the constraint control problem, then the iterative algorithm of the algebraic Riccati equation is proposed, at last an example is given.
基金
国家自然科学基金
关键词
LQ控制
黎卡提方程
结构力学
singular condition, riccati equation, LQ control, mixed energy