Intersection analysis of input and output constraints in model predictive control and on-line adjustment of soft constraints

Xiao-long Zhou, Shubin Wang, Xionglin Luo
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Abstract

The constraints of input variables and output variables commonly exit in the actual industrial production process. Due to the interference and different constraints between conflicting, the constraint conditions can not be all satisfied, appearing to look for less feasible solutions and global optimal solution and then bringing negative effects on the actual production. Based on Polyhedral pole, the constrained model predictive control feasibility and the soft constraints adjustment algorithm when infeasibility are discussed in this paper. The method in this article considers the feasibility analysis and the reasonable soft constraints adjustment before the rolling optimization in each step, which makes the whole control process meet the requirements of constraint conditions without changing the basic structure of MPC. Through the simulation results of the constrained CSTR system, the validity and feasibility of the algorithm are verified.
模型预测控制中输入输出约束的交集分析及软约束的在线调整
在实际工业生产过程中,通常存在输入变量和输出变量的约束。由于相互冲突之间的干扰和不同约束,约束条件不能全部满足,出现寻找不太可行的解和全局最优解,从而给实际生产带来负面影响。讨论了基于多面体极点的约束模型预测控制的可行性和不可行性时的软约束调整算法。该方法在每一步轧制优化前都考虑了可行性分析和合理的软约束调整,使整个控制过程在不改变MPC基本结构的情况下满足约束条件的要求。通过约束CSTR系统的仿真结果,验证了该算法的有效性和可行性。
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