Flexible optimization-based approach for linear and nonlinear robust control design

用于线性和非线性鲁棒控制设计的灵活的基于优化的方法

• 批准号: 12650412
• 负责人: TUAN Hoang Duong
• 金额: $ 2.05万
• 依托单位: Toyota Technological Institute
• 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-12650412/
• 关键词: Robust control; Nonconvex optimization; Flexible optimization

In this project, we have obtained very important results for design of linear and nonlinear robust controls. Namely,(i) New linear matrix inequality (LMI) based optimization formulation for multi-criterion robust filtering.(ii) New LMI characterizations for H_2 norm and H_∞ norm for 2-D systems. Based on them, new LMI formulations for robust filtering for 2-D systems are given(iii) New development for H_2 and H_∞ controls of nonlinear parameter-varying systems (NPV)(iv) New design for adaptive controls for plants with nonlinear parameterizations.

在这个项目中，我们在线性和非线性鲁棒控制的设计方面获得了非常重要的成果。即，(i) 基于新线性矩阵不等式 (LMI) 的多标准鲁棒滤波优化公式。(ii) 二维系统 H_2 范数和 H_∞ 范数的新 LMI 表征。在此基础上，给出了用于二维系统鲁棒滤波的新LMI公式(iii)非线性参数变化系统(NPV)的H_2和H_∞控制的新发展(iv)非线性参数化对象的自适应控制的新设计。

项目成果

P. Apkarian, H.D. Tuan, J. Bernussou: "Continuous-time analysis and H_2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans. Automatic Control. 49. 1941-1946 (2001)

P.阿普卡里安，H.D.

H.D.Tuan, et al.: "Parameterized linear matrix inequalities in fuzzy control system design"IEEE Trans.Fuzzy Systems. Vol.9. 324-332 (2001)

H.D.Tuan 等人：“模糊控制系统设计中的参数化线性矩阵不等式”IEEE Trans.Fuzzy Systems。

P.Apkarian, et al.: "Continuous-time analysis and H2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans. Automatic Control. Vol.49. 1941-1946 (2001)

P.Apkarian 等人：“具有增强 LMI 特性的连续时间分析和 H2 多通道合成”IEEE Trans。

H.D.Tuan, et al: "Parameterized linear inatrix inequalities in fuzzy control system design"IEEE Trans. Fuzzy Systems. (印刷中).

H.D.Tuan 等人：“模糊控制系统设计中的参数化线性矩阵不等式”IEEE Trans。

H.D.Tuan, et al.: "Robust and reduced-order filtering : new characterizations and method"IEEE Trans.Signal Processing. Vol.39. 2975-2984 (2001)

H.D.Tuan 等人：“鲁棒和降阶滤波：新的特征和方法”IEEE Trans.Signal Processing。