基于区间运算的字典序多目标模型预测控制

Lexicographic Multi-objectives Model Predictive Control Based on Interval Arithmetic

考虑优化级多目标优化控制问题,提出一种基于区间运算的字典序多目标模型预测控制算法。对约束线性系统,结合字典序列法和滚动优化原理,建立按优先级定义的分层多目标模型预测控制策略。在此基础上,引入区间运算法则,在线求解预测控制量。通过一双容水箱单输入双输出液位控制,仿真验证了该方法的有效性。

Considering the prioritised muhi-objectives control, a lexicographic multi-objectives model predic- tive control （MPC） algorithm based on interval arithmetic was proposed. Regarding the constrained linear sys- tems, the lexicographic programming and receding horizon principle were combined to derive a multi-layers multi-objectives MPC scheme in terms of the prioritization of objectives, and to calculate the predictive control actions online. Simulating the liquid-level control of two-tank with single input and double outputs illustrates the effectiveness of this method.