Constrained control of discrete-time system by state reset input and application for servo control

本文考虑了约束系统的复位反馈控制设计问题，考虑了复位反馈给系统带来的额外控制自由度。并讨论了它在伺服控制中的应用。首先，基于RHC的复位输入序列的设计和响应成形RHC通过LQ最优响应模型被认为是。在此基础上，考虑了具有广义复位矩阵的线性复位系统的综合问题，其中包含了Clegg积分器的复位矩阵。而重置矩阵是固定的先验在现有的结果，建议的LMI为基础的综合，使我们能够确定合适的重置条件给定的控制性能。因此，可以利用本文的研究结果系统地设计状态反馈复位伺服系统。

In this work, the design of the reset feedback control for a constrained system is considered under the additional degree of freedom in control brought by the reset feedback. Its application for the servo control is also discussed. Firstly, the RHC based design of the reset input sequence and the response shaping in RHC via LQ optimal response model is considered. After that, the synthesis of the linear reset system with a generalized reset matrix, in which the reset matrix for the Clegg integrator is included, is considered. Whereas the reset matrix is fixed a priori in the existing results, the proposed LMI based synthesis enables us to determine the suitable reset condition for given control performance. Therefore we can design the state-feedback reset servo system in systematically way by using the results of this work.