Optimal control for a class of unstable time-delay processes
一类不稳定时滞过程的最优控制

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.