一类不稳定时滞过程的最优控制

Optimal control for a class of unstable time-delay processes

本文对控制能量存在约束条件下一类不稳定时滞过程的最优控制问题进行了探讨.首先基于不稳定过程的互质分解,由敏感度函数和控制敏感度函数定义了一个包含跟踪误差和控制能量在内的性能指标,然后应用谱分解最小化该性能指标,从而为一类不稳定时滞过程导出了一种最优的控制器设计方法,可使系统在控制能量存在约束时获得最优的控制性能.仿真研究进一步说明了该方法的有效性.

The optimal control problem is studied for a class of unstable time-delay processes under control-energy constraint. Firstly, based on the prime factorization of unstable process, we define a performance index containing the tracking error and plant input energy, which is represented by the sensitivity function and the control -sensitivity function. Applying the spectral factorization to minimize the performance criterion, we derive an optimal controller design method for a class of unstable time-delay processes, which can be used to obtain the optimal system performance under control energy constraint. Finally, the validity of the proposed approach is confirmed by the simulation research.