On Design of Mixed H2/H∞ RMPC Based on Multi-step Control Strategy
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摘要: 针对具有外界扰动的线性定常(Linear time invariant, LTI)系统, 本文研究了其鲁棒预测控制器(Robust model predictive control, RMPC)的设计方法. 设计采用了混合的H2/H∞控制方法以有效地兼顾系统的抗干扰能力和闭环控制性能. 同时, 为了降低设计的保守性, 设计利用闭环多步控制策略以扩大控制器的可行范围, 改善系统控制性能. 进而, 为了便于实际实施, 提出该RMPC的简化设计, 通过将大部分在线计算量离线完成以降低鲁 棒预测控制器的在线计算量.Abstract: With consideration of the linear time invariant (LTI) system with additive disturbance, the design of robust model predictive control (RMPC) is studied. In order to balance the capability to reject the disturbance and control performance, the mixed H2/H∞ approach is adopted. Meanwhile, the multi-step control set is utilized to reduce the conservativeness of the design, which results in the improved control performance and the larger feasible region. Furthermore, in order to make the proposed design easy to implement, an efficient version of RMPC is also developed, where the main computation of RMPC is transferred to be completely off-line to reduce the online computational burden.
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