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Basic Structure and Design of Hybrid Controllers including logic information process

混合控制器的基本结构和设计，包括逻辑信息处理

基本信息

批准号：
14550438
负责人：
IMURA Jun-ichi
金额：
$ 2.56万
依托单位：
Tokyo Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

项目摘要

This research have obtained the following results.1.Modelling : We have proposed a new model of hybrid systems, which we call the sampled-data piecewise affine systems, where the discrete switching is executed according to the state condition at a given sampling time fixed by the programming in the digital device.2.Well-posedness, Stability, Controllability analysis : For the class of piecewise affine systems and linear complementarity systems, the solution concept is defined and well-posedness conditions, which can be easily checkable, are derived. A new analytical method of stability based on the poles of the systems has been proposed for the piecewise linear systems. In addition, a probabilistic controllability method of piecewise affine systems has been developed, which allows us to determine the controllability of a larger class of hybrid system3.Optimal control : We have derived an optimal controller for the class of sampled-data piecewise affine systems, and have shown one of the basic structures of the hybrid controller The approach has been applied to the control problem of CPU, and it has been shown that the proposed method is quite useful by numerical simulation, using the CPU model obtained identification. Furthermore, an efficient algorithm to solving the mixed integer quadratic programming problem, to which the optimal control problem is reduced, has been developed.In this way, we have developed the basic theory of hybrid control systems by a series of research in this term, which will be important results toward the practical system control theory of hybrid systems.

1.建模：提出了一种新的混杂系统模型，称为采样数据分段仿射系统，在给定的采样时刻，根据数字设备中编程确定的状态条件进行离散切换。2.适定性、稳定性、可控性分析：对于一类分段仿射系统和线性互补系统，定义了解的概念，并导出了易于检验的适定性条件。针对分段线性系统，提出了一种基于系统极点的稳定性分析方法。此外，我们还发展了分段仿射系统的概率能控性方法，使得我们能够确定更大类混杂系统的可控性。最优控制：我们推导了一类采样数据分段仿射系统的最优控制器，并给出了混合控制器的一种基本结构。该方法已被应用于CPU的控制问题，通过对所获得的CPU模型的辨识，数值仿真表明所提方法是非常有用的。在此基础上，提出了一种求解混合整数二次规划问题的有效算法，将最优控制问题归结为混合整数二次规划问题，从而发展了混杂控制系统的基本理论，对混杂系统的实际系统控制理论具有重要的指导意义。