最优轨线控制

Optimal Control of Trajectory

应用伴随算子的同构嵌入以及赋范线性空间中的一个极大值原理,求出最优轨线控制的表达式。

Consider a controllable system on[0,1], and that x(t)=A(t)x(t)+B(t)w(t), x(0) = 0, Where A(t): Rn→Rn. Let x0=x0(t)(U≤t≤1) be a given trajectory, it is designod a control function u(t) in U, such that ||x0-x|| achieves minimum, where x=x(t) is a solution of differential equations.the Optimal control are obtained.