Analysis of Model Set and Time-Varying Control based on Complexity

基于复杂度的模型集与时变控制分析

• 批准号: 11450164
• 负责人: KIMURA Hidenori
• 金额: $ 4.29万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11450164/
• 关键词: Model; System identification; 4SID Method; Complexity; Learning theory; Control Systems; Adaptive control; LPV control; 赤池情報量基準; モデル集合同定; サンプル複雑度; モデル駆動制御; 逆モデル; 運動制御; ブレンディングコントロール; 内部モデル制御; モデル集合; 複雑度; 情報量基準; スイッチング制御; 部分空間同定; 熱交換器

1 Real-Time Identification of Time-Varying SystemsWe are successful in obtaining sequential version of the 4-SID method which enables us to track the parameter variation of the system. We have clarified some fundamental structure of sequential 4-SID method from the viewpoint of realization theory. This is the most remarkable result we have obtained in this research program.2 Analysis and Quantification of Model Complexity and Its Relation to LearningWe have applied learning theory to identification of model set and obtained the lower and upper bound of the samples required for guaranteering a prescribed model accuracy. We have defined complexity of model set through this sample number bounds. We have pointed out that the prevailing stochastic analysis of model set identification connected with control has some drawback.3 Control Algorithm for Linear Parameter Varying (LPV) SystemsWe have obtained some fundamental results on this issue. H-infinity control structure and topological aspects of model set have been considered from the LPV point of view. Also, we have considered the application of the so-called just-in-time (JIT) modeling. However, we are unable to establish so far the solid control architecture and algorithm for LPV systems based on the results obtained in (1) and (2).

1 时变系统的实时识别我们成功地获得了4-SID方法的序列版本，该方法使我们能够跟踪系统的参数变化。我们从实现理论的角度阐明了顺序4-SID方法的一些基本结构。这是我们在这个研究项目中取得的最显着的成果。2模型复杂性及其与学习关系的分析和量化我们将学习理论应用于模型集的识别，并获得了保证规定的样本集的下限和上限。模型精度。我们通过这个样本数量界限定义了模型集的复杂性。我们指出，与控制相关的模型集识别的流行随机分析存在一些缺陷。3线性参数变化（LPV）系统的控制算法我们在这个问题上获得了一些基本结果。 H-infinity 控制结构和模型集的拓扑方面已从 LPV 的角度进行了考虑。此外，我们还考虑了所谓的即时（JIT）建模的应用。然而，我们目前还无法根据（1）和（2）中获得的结果建立LPV系统的固控架构和算法。

项目成果

Nobuyama and Tsumura: "Recent Advance of Deadbeat Control of Continuous-Time Systems A Mixed Time/Frequency-Domain Control"Systems, Control and Information. Vol. 43, No. 5. (1999)

Nobuyama 和 Tsumura：“连续时间系统无差拍控制的最新进展——混合时域/频域控制”系统、控制和信息。

Nagamune and Yamamoto: "An Identification Method for a State Space Model Set with Time-Varying Parametric Uncertainties by Using the Subspace Method"Trans. Of the society of Instrument and Control Engineers. Vol.35. 741-747 (1999)

Nagamune和Yamamoto：“使用子空间方法识别具有时变参数不确定性的状态空间模型集”Trans。

延山, 津村: "連続時間系デッドヒート制御の最近の進展-H-infinityノルム仕様を入れた時間・周波数領域混合制御へ"システム/制御情報. Vol.43. 250-257 (1999)

Nobuyama，Tsumura：“连续时间系统平热控制的最新进展 - 结合 H 无穷范数规范的时域和频域混合控制”，系统/控制信息，第 43 卷，250-257 (1999)。

木村英紀: "H^∞制御"コロナ社. 255 (2000)

木村英树：《H^∞控制》Coronasha 255 (2000)

K.Hayakawa,K.Matsumoto,M.Yamashita,Y.Suzuki,K.Fujumori, and H.Kumura: "Robust H^∞-output feedback control of decoupled automobile suspension systems"IEEE Transactions on Automatic Control. Vol.44. 392-397 (1999)

K. Hayakawa、K. Matsumoto、M. Yamashita、Y. Suzuki、K. Fujimori 和 H. Kumura：“解耦汽车悬架系统的鲁棒 H^∞ 输出反馈控制”IEEE 自动控制交易第 44 卷。 392-397 (1999)