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C1-Smooth Multi-Contact Dynamics for Robotics
C1-Smooth Multi-Contact Dynamics for Robotics
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105234
- ISBN
- 9798291567593
- DDC
- 620
- 서명/저자
- C1-Smooth Multi-Contact Dynamics for Robotics
- 발행사항
- [Sl] : University of Michigan, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 96 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-02, Section: B.
- 주기사항
- Advisor: Revzen, Shai.
- 학위논문주기
- Thesis (Ph.D.)--University of Michigan, 2025.
- 초록/해제
- 요약When a robot forms multiple contact points with its environment near-simultaneously, small perturbations can change the anticipated order of contact, which can lead to vastly different outcomes. These "multi-contact dynamics" have eluded convenient mathematical analysis, despite posing no issue for a plethora of terrestrial organisms ranging from ants to elephants. Classically, simulating a three-legged hopping robot a mere 2 hops into the future would require solving over 1,000 separate differential equations. This dissertation leverages recent theoretical work to show that many multi-contact dynamics are - in practice - easier to model, control, and simulate than previously believed. We begin by introducing a three-legged hopping robot and showing experimentally that its flight-to-triple-stance impact map is linearizable (C1) near the triple-contact trajectory. Using this result, we employ smooth system identification and control tools to successfully steer the hopper in the plane in real-time, even in the presence of significant disturbances. Finally, we present a numerical method for rapidly and accurately solving initial value problems belonging to the more general class of "event-selected [multi-contact] systems" that performs on-par with the state-of-the-art via a comparison with MuJoCo.
- 일반주제명
- Engineering
- 일반주제명
- Mechanical engineering
- 일반주제명
- Robotics
- 일반주제명
- Applied mathematics
- 키워드
- Contact modeling
- 기타저자
- University of Michigan Electrical and Computer Engineering
- 기본자료저록
- Dissertations Abstracts International. 87-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■007cr#unu||||||||
■020 ▼a9798291567593
■035 ▼a(MiAaPQ)AAI32271923
■035 ▼a(MiAaPQ)umichrackham006391
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a620
■1001 ▼aAnderson, Marion.
■24510▼aC1-Smooth Multi-Contact Dynamics for Robotics
■260 ▼a[Sl]▼bUniversity of Michigan▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a96 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-02, Section: B.
■500 ▼aAdvisor: Revzen, Shai.
■5021 ▼aThesis (Ph.D.)--University of Michigan, 2025.
■520 ▼aWhen a robot forms multiple contact points with its environment near-simultaneously, small perturbations can change the anticipated order of contact, which can lead to vastly different outcomes. These "multi-contact dynamics" have eluded convenient mathematical analysis, despite posing no issue for a plethora of terrestrial organisms ranging from ants to elephants. Classically, simulating a three-legged hopping robot a mere 2 hops into the future would require solving over 1,000 separate differential equations. This dissertation leverages recent theoretical work to show that many multi-contact dynamics are - in practice - easier to model, control, and simulate than previously believed. We begin by introducing a three-legged hopping robot and showing experimentally that its flight-to-triple-stance impact map is linearizable (C1) near the triple-contact trajectory. Using this result, we employ smooth system identification and control tools to successfully steer the hopper in the plane in real-time, even in the presence of significant disturbances. Finally, we present a numerical method for rapidly and accurately solving initial value problems belonging to the more general class of "event-selected [multi-contact] systems" that performs on-par with the state-of-the-art via a comparison with MuJoCo.
■590 ▼aSchool code: 0127.
■650 4▼aEngineering
■650 4▼aMechanical engineering
■650 4▼aRobotics
■650 4▼aApplied mathematics
■653 ▼aContact modeling
■653 ▼aNumerical methods
■653 ▼aEvent-selected systems
■653 ▼aMulti-contact dynamics
■690 ▼a0537
■690 ▼a0771
■690 ▼a0548
■690 ▼a0364
■71020▼aUniversity of Michigan▼bElectrical and Computer Engineering.
■7730 ▼tDissertations Abstracts International▼g87-02B.
■790 ▼a0127
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359904▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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