Huang Gongsheng, Wang Shengwei
Department of Building Services Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong.
ISA Trans. 2009 Oct;48(4):503-11. doi: 10.1016/j.isatra.2009.06.002. Epub 2009 Jun 23.
This paper studies the application of robust model predictive control (MPC) in a constraint process suffering from time-delay uncertainty. The process is described using a transfer function and sampled into a discrete model for computer control design. A polytope is firstly developed to describe the uncertain discrete model due to the process's time-delay uncertainty. Based on the proposed description, a linear matrix inequality (LMI) based MPC algorithm is employed and modified to design a robust controller for such a constraint process. In case studies, the effect of time-delay uncertainty on the control performance of a standard MPC algorithm is investigated, and the proposed description and the modified control algorithm are validated in the temperature control of a typical air-handling unit.
本文研究了鲁棒模型预测控制（MPC）在存在时滞不确定性的约束过程中的应用。该过程采用传递函数进行描述，并采样为离散模型用于计算机控制设计。首先，由于过程的时滞不确定性，开发了一个多面体来描述不确定离散模型。基于所提出的描述，采用并修改了基于线性矩阵不等式（LMI）的MPC算法，为这种约束过程设计鲁棒控制器。在案例研究中，研究了时滞不确定性对标准MPC算法控制性能的影响，并在典型空气处理机组的温度控制中验证了所提出的描述和改进的控制算法。
