Robust Optimization for Robust/Nonlinear Control Problems with Nonlinear Structures

非线性结构鲁棒/非线性控制问题的鲁棒优化

• 批准号: 21560477
• 负责人: OISHI Yasuaki
• 金额: $ 3万
• 依托单位: Nanzan University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21560477/
• 关键词: 制御理論; ロバスト最適化; DC表現; 行列拡大; 非周期的サンプル値制御; Lyapunov関数; モデル予測制御; 凸2次最適化問題; 2乗和多項式; サンプル時間; 漸近的厳密性; 行列的不確かさ; 行列ノルム; 適応的分割; ロバスト半正定値計画; 厳密性検証; クレーン制御; 計算量

For the application to robust and nonlinear control problems possessing nonlinear structures, robust optimization methods are investigated on their theoretical properties, their applicability, and their usefulness in the control application. In particular, the exactness verification method is generalized for robust optimization problems with function variables. An asymptotically exact method is developed for robust optimization problems with non-polynomial parameter dependence. Gain-scheduled control is considered for a crane with a robust optimization method. Analysis and synthesis of an aperiodic sampled-data control system, which is a new type of control systems, are considered in the framework of robust optimization.

针对具有非线性结构的鲁棒非线性控制问题，研究了鲁棒优化方法的理论性质、适用性及其在控制应用中的实用性。特别地，将精确性验证方法推广到函数变量的鲁棒优化问题。针对非多项式参数依赖的鲁棒优化问题，提出了一种渐近精确方法。采用鲁棒优化方法研究了起重机的增益调度控制问题。非周期采样控制系统是一种新型的控制系统，本文在鲁棒优化的框架下对其进行了分析与综合。

项目成果

Exploiting sparsity in the matrix-dilation approach to robust semidefinite programming

利用矩阵扩张方法中的稀疏性实现稳健的半定规划

• 发表时间: 2007
• 作者: Y. Oishi;Y. Isaka
• 通讯作者: Y. Isaka

Robust Semidefinite Programming Problems with General Nonlinear Parameter Dependence: Application of the DC-Representations

具有一般非线性参数相关性的鲁棒半定规划问题：DC 表示的应用

• DOI: 10.3182/20110828-6-it-1002.01040
• 发表时间: 2011
• 期刊: IFAC Proceedings Volumes
• 作者: Y. Oishi;T. Alamo
• 通讯作者: T. Alamo

An asymptotically exact approach to robust semidefinite programming problems with function variables

函数变量鲁棒半定规划问题的渐近精确方法

• 发表时间: 2009
• 期刊: IEEE Transactions on Automatic Control Vol.54, No.5
• 作者: Y. Oishi

2乗和多項式に基づくクレーンのゲインスケジュールド制御

基于平方和多项式的起重机增益调度控制

• 发表时间: 2009
• 期刊: 計測自動制御学会論文集
• 作者: T.Hatanaka;Y.Igarashi;M.Fujita;M.W.Spong;青木・高見・大石
• 通讯作者: 青木・高見・大石

Stability and stabilization of aperiodic sampled-data control systems: An approach using robust linear matrix inequalities

• DOI: 10.1109/cdc.2009.5399812
• 发表时间: 2009-12
• 期刊: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
• 作者: Y. Oishi;H. Fujioka