非线性时变时滞系统的Delta算子最优控制

Delta Operator Optimal Control for Nonlinear Time-varying Systems with Time Delays

本文针对具有时滞的一般非线性时变系统,研究其delta算子最优控制问题。首先,利用delta算子理论,对系统进行离散化,在特定条件下,通过合理变换,消除时滞。其次,结合微分动态规划方法,求取在delta算子描述下,消除时滞的非线性时变系统的最优控制律。

This paper researches the optimal control problem of the delta operator for general nonlinear time-varying systems with time delays.First,the system is discretized by u-sing the delta operator theory,and the time delay is eliminated by reasonable transformation under specific conditions.Secondly,the differential dynamic programming method is combined to solve the optimal control law of the nonlinear time-varying system with time delay eliminated under the description of the delta operator.