Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Rolling Resistance: Problem Solving01:17

Rolling Resistance: Problem Solving

293
Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it moves over a surface. It is caused by the deformation of the object and the surface in contact with each other, as well as other factors like internal friction, hysteresis, and energy losses within the materials. Rolling resistance opposes the object's motion, requiring additional energy to overcome it and maintain movement. In practical...
293
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

62
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
62
PD Controller: Design01:26

PD Controller: Design

183
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
183
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

83
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
83
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

386
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
386
Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

11.9K
When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
11.9K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The burden and unique patterns of extraintestinal manifestations in Chinese inflammatory bowel disease: a nationwide multicenter investigation.

Clinical and experimental medicine·2026
Same author

Study on the preventive effect of Neiguan acupoint stimulation combined with Zusanli acupoint stimulation on postoperative nausea and vomiting in patients undergoing hysteroscopic surgery.

BMC complementary medicine and therapies·2026
Same author

Aberrant Cholesterol Metabolism Caused by Decreased Lecithin: Cholesterol Acyltransferase Promoted Hepatocarcinogenesis.

Journal of hepatocellular carcinoma·2026
Same author

Effect of Electroacupuncture for Trigeminal Neuralgia: Study Protocol for a Multicenter Randomized Controlled Trial.

Journal of pain research·2026
Same author

Rehmannioside D prevents estrogen-deficiency induced osteoporosis by interacting with c-Jun to dismantle the AP-1 complex and suppress MAPK/NF-κB signaling.

Phytomedicine : international journal of phytotherapy and phytopharmacology·2026
Same author

Protein-Glutaminase-Mediated Deamidation Enhances the Functional Properties of Walnut Protein Concentrate for Food Applications.

Journal of food science·2026
Same journal

RETRACTED: Zhang et al. A Novel Framework for Reconstruction and Imaging of Target Scattering Centers via Wide-Angle Incidence in Radar Networks. <i>Sensors</i> 2025, <i>25</i>, 6802.

Sensors (Basel, Switzerland)·2026
Same journal

Enhancing Unsupervised Multi-Source Domain Adaptation for Person Re-Identification via Mixture of Experts and Graph-Based Relation.

Sensors (Basel, Switzerland)·2026
Same journal

Development of an Instrumented Glove for Palmar Pressure Assessment in Kayakers.

Sensors (Basel, Switzerland)·2026
Same journal

Development and Experimental Validation of an Autonomous IoT-Based Monitoring System for Real-Time Water Quality Assessment in the Amazon River.

Sensors (Basel, Switzerland)·2026
Same journal

Semi-Supervised Adversarial Learning Framework for Controller Area Network Bus Intrusion Detection.

Sensors (Basel, Switzerland)·2026
Same journal

Smart Optimization Method for Safety Signs in Innovative Manufacturing Environments Integrating Industrial Field IoT Sensors and Knowledge Graphs.

Sensors (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Jun 3, 2025

Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

6.6K

Automatic Parking Trajectory Planning Based on Warm Start Nonlinear Dynamic Optimization.

Hongbin Ren1,2, Yaqi Niu2, Yunong Li2

  • 1State Key Laboratory of Mechanical Transmission for Advanced Equipments, Chongqing University, Chongqing 400044, China.

Sensors (Basel, Switzerland)
|January 11, 2025
PubMed
Summary
This summary is machine-generated.

This study presents an optimal parking path planning method using numerical solving and convex optimization. The approach ensures globally optimal, smooth paths while satisfying vehicle constraints, validated in real-world tests.

Keywords:
Hybrid A*automatic parkingnonlinear optimizationtrajectory planningwarm start

More Related Videos

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

3.2K
Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb
08:24

Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb

Published on: August 30, 2016

10.2K

Related Experiment Videos

Last Updated: Jun 3, 2025

Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

6.6K
Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

3.2K
Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb
08:24

Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb

Published on: August 30, 2016

10.2K

Area of Science:

  • Robotics
  • Autonomous Systems
  • Optimization

Background:

  • Automated parking systems require efficient and safe path planning.
  • Existing methods often struggle with global optimality and real-time performance.

Purpose of the Study:

  • To develop an optimal parking path planning method using numerical solving.
  • To ensure obstacle avoidance and satisfy vehicular kinematic constraints.
  • To improve the efficiency of numerical solving for path planning.

Main Methods:

  • Utilized the distance between convex sets for path planning.
  • Transformed obstacle avoidance into smooth nonlinear constraints via Lagrange duality.
  • Employed a warm-start strategy with Hybrid A* and velocity planning for optimization variables.
  • Solved using converted convex optimization problems.

Main Results:

  • Achieved globally optimal parking paths satisfying kinematic constraints.
  • Demonstrated real-time performance in typical parking scenarios.
  • Validated through real car tests using the ACADO solver.

Conclusions:

  • The proposed numerical solving method provides an efficient and optimal solution for parking path planning.
  • The warm-start strategy significantly improves the efficiency of the optimization process.
  • The method generates smoother parking paths in real-time, suitable for autonomous vehicles.