Research on Discrete-time VSS Control

离散时间VSS控制研究

• 批准号: 06452250
• 负责人: FURUTA Katsuhisa
• 金额: $ 3.2万
• 依托单位: TOKYO INSTITUTE OF TECHNOLOGY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06452250/
• 关键词: VSS; Non-linear systems; Robust Control; Discrete-time systems; Real-time Controller; Sliding sector; Sliding mode

In this report, the research on the discrete-time VSS control is presented. Firstly, two discrete-time VSS controllers are designed based on the concept of the sliding sector proposed in (Furuta, 1990) by using state space equation and transfer function, respectively. Secondly, a new sliding sector, inside which a norm of the system state decreases, is defined for discrete-time systems. A discrete-time VSS controller is designed to transfer the state from the outside to the inside of the sliding sector. The optimal control theory is used to design the sliding sector. Finally, the proposed VSS control methods are applied to the control of some practical systems like as the rotational inverted pendulum system and the flexible transmission system. As an experimental divice, an inverted pendulum system is design. The simulation results and experiment results are given.

本文对离散时间变结构控制进行了研究。首先，基于Furuta（1990）提出的滑动扇区概念，分别利用状态空间方程和传递函数设计了两种离散时间变结构控制器。其次，定义了离散时间系统的一个新的滑动扇区，在该扇区内系统状态的范数减小。设计了一个离散时间VSS控制器，将状态从滑动扇区的外部转移到滑动扇区的内部。采用最优控制理论设计滑模面。最后，将所提出的变结构控制方法应用于旋转倒立摆系统和柔性传动系统等实际系统的控制中。作为实验装置，设计了一个倒立摆系统。给出了仿真结果和实验结果。

项目成果

Y.Pan and K.Furuta: "VSS Approach to the Design of Robust Digital Controller Using Transfer Equation" European Journal of Control. 166-173 (1995)

Y.Pan 和 K.Furuta：“使用传递方程设计鲁棒数字控制器的 VSS 方法”《欧洲控制杂志》。

K.Furuta and Y.Pan: "A New Approach to Design a Sliding Sector for VSS Controller" Proceedings of ACC'95. 1304-1308 (1995)

K.Furuta 和 Y.Pan：“为 VSS 控制器设计滑动扇区的新方法”ACC95 论文集。

Y. Pan and K. Furuta: "VSS Approach to the Design of Robust Digital Controller Using Transfer Equation" European Journal of Control. 166-173 (1995)

Y. Pan 和 K. Furuta：“使用传递方程设计鲁棒数字控制器的 VSS 方法”《欧洲控制杂志》。

K.Furuta and Y.Pan: "A New Approach to Design a Sliding Sector for VSS Controller" Proceedings of ACC‘95. 1304-1308 (1995)

K.Furuta 和 Y.Pan：“VSS 控制器滑动扇区设计的新方法”，ACC’95 论文集（1995 年）。

Y.Pan and K.Furuta: "Adaptive VSS Controller Based on Sliding Sector" IFAC 13th world Congress.

Y.Pan 和 K.Furuta：“基于滑动扇区的自适应 VSS 控制器” IFAC 第 13 届世界大会。