鲁棒模型预测控制系统的评估基准

在控制系统的性能评估中，基准的设计是个重要问题。将基本设计极限理论推广到模型预测控制系统(MPC)，建立性能评估基准。直接考虑多输入多输出系统的频域扰动，建立输出反馈鲁棒模型预测控制器。此控制器仅仅依赖于过程参数，也是令闭环系统达到控制性能极限的基准控制器。建立了用于评估的性能指标，提出基于此基准的性能评估程序，用以评价其他模型预测控制系统的性能。数学算例证实了这一评估程序的有效性。

Performance assessment for robust model predictive control systems

The benchmark is an essential issue of the performance assessment problem of the control systems. In this paper，the authors extend the theories of fundamental design limitations to model predictive control（MPC）systems to establish a performance benchmark. Considering constraints on the frequency domain explicitly，an output feedback robust model predictive controller was developed for the multi-input/multi-output systems with disturbances. The feedback controller developed could be explicitly set up，without online optimization. With this controller the closed-loop systems reached the limit of control performance，so that it could be served as the benchmark controller to assess the other MPC’s using the process routine data. The performance index was established. A performance assessment procedure was proposed for evaluating the other MPC systems. Numerical example well demonstrated the proposed performance assessment procedure.