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

在此工作中，考虑了约束系统的复位反馈控制在控制中所带来的额外自由度下的设计。讨论了其在伺服控制中的应用。首先，考虑了基于RHC的复位输入序列设计，并利用LQ最优响应模型对RHC中的响应进行整形。在此基础上，考虑了含Clegg积分器重置矩阵的广义重置矩阵对线性重置系统的综合。而在现有的结果中，重置矩阵是先验固定的，所提出的基于LMI的综合使我们能够确定给定控制性能的合适重置条件。因此，利用本文的研究成果，可以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.