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针对目标函数的不同优先级问题,提出一种约束多变量线性定常系统的稳定化多目标模型预测控制策略.首先,基于多目标优化理论给出多目标预测控制问题的字典序最优解结果,并在此基础上考虑目标函数的优先级,重新将多目标预测控制问题定义为字典序多目标预测控制问题;然后,采用终端约束、终端罚函数和局部状态反馈律等三要素,证明多目标预测控制闭环系统是渐近稳定的;最后,通过一个仿真实例验证了所提出方法的有效性.
Aiming at the different priority problems of objective function, a multi-objective predictive control strategy is proposed for stabilizing multivariable systems with constrained multivariable linear stationary systems.Firstly, based on the multi-objective optimization theory, the optimal results of dictionary sequences for multi-objective predictive control problems are given, And based on this, the priority of objective function is considered and the problem of multi-objective predictive control is re-defined as multi-objective predictive control of dictionary order. Thirdly, three factors of terminal constraint, terminal penalty function and local state feedback law are used to prove that multi-objective The predictive control closed-loop system is asymptotically stable. Finally, a simulation example is given to verify the effectiveness of the proposed method.