非整数控制时域模型预测控制

Model Predictive Control with Non-integer Control Horizon

以动态矩阵控制(DM C,D ynam ic M atrix Con tro l)的状态空间描述为基础,通过推导相邻控制时域之间控制增量的递推关系,提出了一种非整数控制时域方法,该方法主要针对整数控制时域在改善系统性能与稳定性时存在的缺点,利用一个调节参数β,可以使控制时域连续地变化,在保证系统稳定性的前提下尽可能提高系统响应,而且涉及的计算量也不大,同时给出了非整数控制时域名义稳定性和鲁棒性的条件,最后通过仿真说明了这种方法的有效性。

This paper proposes a non-integer control horizon method based on state space equation of dynamic matrix control. Firstly it is main aim to overcome shortcomings of integer control horizon in improving system performances and stability. Control horizon can continuously vary by an adjustable parameter β, which can improve system response as quickly as possible, at the same time system stability can be guaranteed and correlative computation is little. Secondly, the conditions of nominal stability and robust stability are given. Lastly it is illustrated that this method is effective by a simulation example.