摘要
在PI型广义预测控制(PIGPC)的基础上,使用Lagrange乘子法处理输入输出的约束条件,从而求得带约束处理的PI型广义预测控制。在线性系统中对控制量及输出量的约束可以转化为对控制增量的约束,通过添加松弛变量将简化的不等式约束转化为等式约束,采用求解等式约束的方法求解不等式约束的最优解。仿真结果表明,加入约束处理后可有效限制系统的输入输出,算法更加符合实际应用的要求。
Based on PI-type generalized predictive control, this article uses the Lagrange multiplier method to handle the constraints of input and output. The PI-type generalized predictive control with constraint handling algorithm is given. In linear system the lim- its of controlling quantity and output can be converted into the limit of control incremen- tal. The inequality constraint can be converted into equality constraint by add a slack variable. The optimal solution of the inequality constraints can be given by solving the equality constraint. According to the simulative researches, the algorithm with con- straint handling limits input and output efficiently and is more appropriate for practical application.
出处
《青岛科技大学学报（自然科学版）》
CAS
北大核心
2012年第5期495-499,共5页
Journal of Qingdao University of Science and Technology:Natural Science Edition
