时滞系统终端时间参数优化控制

针对时滞系统终端时间优化控制问题,提出一种基于参数化的数值求解方法.首先将优化控制向量用分段常数函数来近似;然后引入时间转换方法将未知切换时间点和未知终端时间映射到新时间域的固定时间点上,从而将原未知时域的时间最优控制问题近似为固定时域的非线性规划问题;最后采用全联通粒子群算法求解.资源再生系统优化控制问题的仿真结果表明所提方法是有效的.

Final time optimal control for time delay systems using control vector parameterization

In this paper, a class of final time optimal control problem for time delay systems is considered. A numerical solving method base on control vector parameterization is proposed. In this method, firstly, the control variables are approximated by piecewise constant functions. Then time scaling transformation is used to map the unknown final time and control switching times to fixed time points in a new time horizon. For this, the original final time optimal control problem on an unknown time interval is approximated by a series of nonlinear programming problems on a fix time interval. Finally, a fully informed particle swarm optimization method is then used to solve the approximated problem. Numerical results on a renewable resource optimal control problem demonstrate the effectiveness of the proposed method.