Basic Research on Fusion of Control Theories towards A New Generation of System Control Engineering

新一代系统控制工程控制理论融合基础研究

• 批准号: 08305011
• 负责人: OHTA Yoshito
• 金额: $ 3.58万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08305011/
• 关键词: robust control; H^* control; nonlinear control; nonholonomic system; optimal control; modeling; sample data control

A fundamental issue of control technologies of the next generation is the integration of control theories that cover a wide range of areas : modelling of intrinsically nonlinear control systems, design and installation of control laws, and exploitation of computational power. This research project has been succesful in bringing researchers on the above mentioned areas in on discussions, presenting new research results of their own, and creating new directions for integrated control technologies. Eight research meetings and an organized session of a control conference during the project period materialized the plans into practice.Contributions of the project are summarized as follows :・modelling compatible with robust control theories,・modelling with implicit systems and hybrid systems,・robust control for infinite dimensional systems,・control and analysis of nonholonomic systems,・theories and applications of nonlinear H* control,・stability analisys of sample data systems, and・control theories based on optimization such as linear matrix inequalities.As for modelling, topics such as identification for robust control, and set membership identification were discussed. As for control, theories dealing with nonlinearities that are common in practical control systems are discussed. This includes control and analysis of nonholonomic systems and nonliner H* control. As for control theories exploiting computational power, a condition for robust stability of sample data control is considered. Also a connection between linear matrix inequalities and information geometry is analyzed. The integration of control theories has been just started, but it certainly is on its way.

下一代控制技术的一个基本问题是控制理论的整合，涵盖了广泛的领域：本质非线性控制系统的建模，控制律的设计和安装，以及计算能力的开发。该研究项目成功地吸引了上述领域的研究人员进行讨论，提出了自己的新研究成果，并为集成控制技术开辟了新的方向。在项目期间，召开了八次研究会议和一次有组织的控制会议，将计划付诸实施。项目的贡献总结如下：·与鲁棒控制理论兼容的建模，·隐式系统和混合系统建模，·无限维系统的鲁棒控制，·非完整系统的控制和分析，·非线性H* 控制的理论和应用，·样本数据系统的稳定性分析，·基于线性矩阵不等式等优化的控制理论。和集员识别问题进行了讨论。至于控制，理论处理非线性是常见的实际控制系统进行了讨论。这包括非完整系统的控制和分析以及非线性H* 控制。对于利用计算能力的控制理论，考虑了样本数据控制鲁棒稳定的条件。分析了线性矩阵不等式与信息几何的关系。控制理论的整合才刚刚开始，但它肯定是在路上。

项目成果

H.Sano, S.Adachi and H.Kasuya: "Application of a least squares lattice algorithm to active noise control for an automobile" Trans.of the ASME,J.of Dynamic Systems, Measurement, and Control. 119-2. 318-320 (1997)

H.Sano、S.Adachi 和 H.Kasuya：“最小二乘点阵算法在汽车主动噪声控制中的应用”Trans.of the ASME、J.of Dynamic Systems、Measurement and Control。

大須賀, 足立: "システム制御へのアプローチ" コロナ社, 177 (1999)

Osuga, Adachi：“系统控制方法” Coronasha，177 (1999)

A.Ohara, N.Suda & S.Amari: "Dualistic Differential Geometry of Positive Definite Matrices and Its Ap-plications to Related Problems" Linear Algebra and its Applications. 247. 31-53 (1996)

A.Ohara、N.Suda

太田, 後藤: "補間点拡大法のL_1,H_∞制御問題での収束性に関する考察" 計測自動制御学会論文集. 33-8. 792-798 (1997)

Ota，Goto：“L_1，H_∞ 控制问题中插值点展开法的收敛性”，仪器与控制工程师学会会刊 33-8（1997 年）。

渡辺 亮: "スケールドH∞ノルム条件に基づいた二次安定領域の評価" 計測自動制御学会論文集 掲載決定.

Ryo Watanabe：“基于缩放 H 范数条件的二次稳定区域的评估”被选发表在《仪器与控制工程师学会会议录》上。