A study on constructive stability and initial condition problem in supervisory control system

监控系统结构稳定性及初始条件问题研究

• 批准号: 12650439
• 负责人: SAITO Osami
• 金额: $ 1.15万
• 依托单位: CHIBA UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12650439/
• 关键词: supervisory control; hybrid system; stability; nonholonomic system; Liapunov function; switched system; initial conditions; 周期挙動; カオス

The study clarifies the following results as the constructive stability and initial condition problem in supervisory control system.(1) The stability of supervisory system should be considered, including the supervisor rule. Here, it is supposed to be the switching rule of two compensators. The stability is discussed with Liapunov function, so as the switching device is the nonlinear function.First of all, the best or the worst switching rule for stability is clarified. Secondly constructive stability is invested based on the system characteristics such as the eigen values(2) Nonholonomic system is dealt with as the examples of switched system and a design theory of stabilizable compensator is proved by using Liapunov function. It is applied to the steering control of a two-wheeler.(3) The dynamical behavior of switched two tanks is analyzed and it is realized as chaotic behavior.

研究结果表明，监督控制系统的构造稳定性和初始条件问题。(1)要考虑监督制度的稳定性，包括监督人制度的稳定性。在这里，它被认为是两个补偿器的切换规则。利用李雅普诺夫函数讨论了开关元件为非线性函数时系统的稳定性，首先阐明了系统稳定性的最佳或最差切换准则。其次，根据系统的特征值等特征，对系统的构造稳定性进行了分析。（2）以非完整系统为例，利用Liapunov函数证明了可镇定补偿器的设计理论。它被应用于两轮车的转向控制。(3)分析了切换两个水箱的动力学行为，并将其实现为混沌行为。

项目成果

A.Ogata, M.Ymamoto, K.Liu, O.Saito: "A Geometrical Approach on Parameter Dependent Lyapunov Functions"Proc.of 39^<th> IEEE Conference on Decision and Control. Vol.1. 7051-7070 (2000)

A.Ogata、M.Ymamoto、K.Liu、O.Saito：“参数相关 Lyapunov 函数的几何方法”Proc.of 39^<th> IEEE 决策与控制会议。

M.Yamada, L.Xu, O.Saito: "Further Results on Bose's 2D Stability Test"Proc. of Math. Theory of Networks and Systems. (2000)

M.Yamada、L.Xu、O.Saito：“Bose 2D 稳定性测试的进一步结果”Proc。

M. Yamada, Li Xu, O. Saito: "Further Results on Bose's 2D Stability Test"Further Results on Bose's 2D Stability Test, Proc. of Math. Theory of Networks and Systems. (2000)

M. Yamada、Li Xu、O. Saito：“Bose 2D 稳定性测试的进一步结果”Bose 2D 稳定性测试的进一步结果，Proc。

A.Ogata, M.Yamamoto, K.Liu, O.Saito: "A Geometrical Approach on Parameter Dependent Lyceums Auction"Proc. of 39th IEEE Conference on Desion and Control. 7051-7052 (2000)

A.Ogata，M.Yamamoto，K.Liu，O.Saito：“参数相关的 Lyceums 拍卖的几何方法”Proc。

M.Yamada, Li Xu, O.Saito: "Further Results on Bose´s 2D Stability Test"Proc.of Math.Theory of Networks and Systems. (2000)

M.Yamada、Li Xu、O.Saito：“Bose 2D 稳定性测试的进一步结果”Proc.of Math.Theory of Networks and Systems (2000)。