Switching Dynamics and Control of Complementarity Systems: a Hybrid System Perspective

互补系统的切换动力学和控制:混合系统的视角

基本信息

  • 批准号:
    0900960
  • 负责人:
  • 金额:
    $ 11.96万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2009
  • 资助国家:
    美国
  • 起止时间:
    2009-08-15 至 2012-07-31
  • 项目状态:
    已结题

项目摘要

Objective: The objective of this program is to investigate dynamics and control issues of complementarity systems from a hybrid system perspective with applications to engineering and biological systems. Various physical, biological and economic systems are subject to inequality constraints that are complementary to each other, i.e., at least one of a pair of inequalities holds with equality. Such dynamical systems, called complementarity systems, constitute an important class of hybrid and switching systems in applications. Complementarity approaches, along with system and control techniques, will be exploited to address critical dynamic analysis and control design problems.Intellectual merit: The intellectual merit lies in three aspects:(1) characterization of local switching dynamics of complementarity systems; (2) long-time switching dynamic analysis and control of piecewise smooth systems; (3) applications to contact mechanical systems, systems biology, safety verification, and dynamical optimization. The analytic results to be developed in this program will lay down a rigorous foundation for computation, analysis and design of a broad class of applied nonsmooth systems. The obtained control analysis and feedback design algorithms will be applied to emerging practical systems in robotics, biology, and electronics, and will facilitate analysis and design of complex systems.Broader impacts: The broader impacts are: (1) This program is interdisciplinary and potentially transformative due to the fundamental nature of the focused research topics and their diverse applications, such as robotics, biomedical systems, and systems biology. (2) The proposed research will be closely integrated with educational and outreach activities, including development of graduate curriculum on nonsmooth systems, active involvement with high-school students for engineering education, undergraduates'research mentoring, and advising graduate students on research and career development through a local SIAM student chapter.
目的:本项目的目的是从混合系统的角度研究互补系统的动力学和控制问题,并将其应用于工程和生物系统。各种物理、生物和经济系统都受到相辅相成的不平等约束,即一对不平等中至少有一个是平等的。这类动态系统称为互补系统,在实际应用中构成了一类重要的混杂系统和切换系统。互补性方法以及系统和控制技术将被用来解决关键的动态分析和控制设计问题。智能化的优点在于三个方面:(1)互补系统的局部切换动力学的表征;(2)分段光滑系统的长期切换动态分析和控制;(3)在接触机械系统、系统生物学、安全性验证和动态优化方面的应用。本程序的分析结果将为广泛应用的非光滑系统的计算、分析和设计奠定严格的基础。获得的控制分析和反馈设计算法将应用于机器人、生物和电子领域的新兴实用系统,并将促进复杂系统的分析和设计。更广泛的影响:(1)由于重点研究主题的根本性质及其不同的应用,如机器人、生物医学系统和系统生物学,该计划是跨学科的,具有潜在的变革性。(2)拟议的研究将与教育和外联活动紧密结合,包括开发关于非顺畅系统的研究生课程,积极参与高中生的工程教育,本科生的研究指导,并通过SIAM当地的学生分会向研究生提供研究和职业发展方面的建议。

项目成果

期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)

数据更新时间:{{ journalArticles.updateTime }}

{{ item.title }}
{{ item.translation_title }}
  • DOI:
    {{ item.doi }}
  • 发表时间:
    {{ item.publish_year }}
  • 期刊:
  • 影响因子:
    {{ item.factor }}
  • 作者:
    {{ item.authors }}
  • 通讯作者:
    {{ item.author }}

数据更新时间:{{ journalArticles.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ monograph.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ sciAawards.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ conferencePapers.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ patent.updateTime }}

Jinglai Shen其他文献

Generalized Input-to-State ℓ2-Gains of Discrete-Time Switched Linear Control Systems
离散时间切换线性控制系统的广义输入到状态 ℓ2 增益
Classical asymptotics in statistics
统计学中的经典渐近论
  • DOI:
  • 发表时间:
    2019
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Xiao Wang;Jinglai Shen
  • 通讯作者:
    Jinglai Shen
Minimax Lower Bound and Optimal Estimation of Convex Functions in the Sup-Norm
超范数中凸函数的极小极大下界和最优估计
Stabilization of Switched Linear Systems Using Continuous Control Input against Known Adversarial Switching
使用针对已知对抗性切换的连续控制输入来稳定切换线性系统
A generating function approach to the stability of discrete-time switched linear systems
离散时间切换线性系统稳定性的生成函数方法

Jinglai Shen的其他文献

{{ item.title }}
{{ item.translation_title }}
  • DOI:
    {{ item.doi }}
  • 发表时间:
    {{ item.publish_year }}
  • 期刊:
  • 影响因子:
    {{ item.factor }}
  • 作者:
    {{ item.authors }}
  • 通讯作者:
    {{ item.author }}

{{ truncateString('Jinglai Shen', 18)}}的其他基金

Collaborative Research: Smart Vehicle Platooning Built upon Real-Time Learning and Distributed Optimization
协作研究:基于实时学习和分布式优化的智能车辆编队
  • 批准号:
    1902006
  • 财政年份:
    2019
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Standard Grant
Collaborative Research: A Constrained Optimal Control Approach to Nonparametric Estimation with Applications to Biological, Biomedical and Engineering Systems
协作研究:非参数估计的约束最优控制方法及其在生物、生物医学和工程系统中的应用
  • 批准号:
    1030804
  • 财政年份:
    2010
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Standard Grant
ATD: Collaborative Research: Estimation of Nonlinear Components and Disturbances in Dynamical Systems with Applications to Threat Detection
ATD:协作研究:动态系统中非线性分量和扰动的估计及其在威胁检测中的应用
  • 批准号:
    1042916
  • 财政年份:
    2010
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Standard Grant

相似国自然基金

β-arrestin2- MFN2-Mitochondrial Dynamics轴调控星形胶质细胞功能对抑郁症进程的影响及机制研究
  • 批准号:
    n/a
  • 批准年份:
    2023
  • 资助金额:
    0.0 万元
  • 项目类别:
    省市级项目

相似海外基金

Multiple Representations of Learning in Dynamics and Control: Exploring the Synergy of Low-Cost Portable Lab Equipment, Virtual Labs, and AI within Student Learning Activities
动力学和控制中学习的多重表示:探索低成本便携式实验室设备、虚拟实验室和人工智能在学生学习活动中的协同作用
  • 批准号:
    2336998
  • 财政年份:
    2024
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Standard Grant
CAREER: A multimethod approach to rethinking the dynamics of inhibitory control under stress
职业生涯:重新思考压力下抑制控制动态的多种方法
  • 批准号:
    2338789
  • 财政年份:
    2024
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Continuing Grant
Center for Dynamics and Control of Materials
材料动力学与控制中心
  • 批准号:
    2308817
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Cooperative Agreement
Dynamics and Control of a Novel Wave-Augmented Floating Offshore Wind Turbine
新型波浪增强浮式海上风力发电机的动力学与控制
  • 批准号:
    2323927
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Standard Grant
Active control of ion diffusion dynamics at the electrolyte/electrode interface by utilizing mixed anion surface
利用混合阴离子表面主动控制电解质/电极界面的离子扩散动力学
  • 批准号:
    23KK0104
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Fund for the Promotion of Joint International Research (International Collaborative Research)
Exploring corticostriatal dynamics associated with action control deficits in Neurexin1 alpha mutant mice
探索与 Neurexin1 α 突变小鼠的动作控制缺陷相关的皮质纹状体动力学
  • 批准号:
    10606118
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
Signaling dynamics in the control of ectoderm patterning and morphogenesis
控制外胚层模式和形态发生的信号动力学
  • 批准号:
    10623412
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
Postdoctoral Fellowship: MPS-Ascend: Coherent Control of Nonlinear Schrodinger Dynamics in the Presence of Uncertainty
博士后奖学金:MPS-Ascend:不确定性情况下非线性薛定谔动力学的相干控制
  • 批准号:
    2316622
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Fellowship Award
Basic research for understanding the environmental dynamics and control of non-tuberculous Mycobacterium in water treatment plants
了解水处理厂中非结核分枝杆菌的环境动态和控制的基础研究
  • 批准号:
    23H03150
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
Study on light-field-driven dynamics for ultrafast control of quantum states of matter
用于物质量子态超快控制的光场驱动动力学研究
  • 批准号:
    23K13052
  • 财政年份:
    2023
  • 资助金额:
    $ 11.96万
  • 项目类别:
    Grant-in-Aid for Early-Career Scientists
{{ showInfoDetail.title }}

作者:{{ showInfoDetail.author }}

知道了