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

PID Controller01:19

PID Controller

631
Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...
631
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

355
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...
355
PD Controller: Design01:26

PD Controller: Design

595
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,...
595
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

785
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
785
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

685
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...
685
Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

510
Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
As the drone's propellers rotate, an upward force is generated that counteracts the force of gravity, enabling the drone to lift off from the ground. This initial movement of the drone is along a straight path, representing a form of translational motion. In this phase, every point on the...
510

You might also read

Related Articles

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

Sort by
Same author

Tissue-specific oxidative stress and protective interventions in malathion-induced toxicity in rodent models: A comprehensive review.

Ecotoxicology and environmental safety·2026
Same author

RBFNN-Based PPy/GaN sensor array with wide dynamic range and sub-ppb detection for accurate ammonia identification in human exhaled breath.

Microsystems & nanoengineering·2025
Same author

Systematic Review and Meta-Analysis on Heavy Metals and Trace Elements in Mild Cognitive Impairment.

Biological trace element research·2025
Same author

Real-World Comparative Study of Ultra-Low-Dose Rivaroxaban in Very Elderly Patients with Atrial Fibrillation.

Clinical interventions in aging·2025
Same author

Oxygen-Regulated GaN-Based Sensors Fabricated by MOCVD for Switchable Gas Detection: Exhaled Gas Smart Platform for Non-Invasive Disease Detection.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2025
Same author

Effect of perioperative polarised light stellate ganglion irradiation on postoperative stress disorder in emergency trauma patients: protocol for a randomised controlled trial.

BMJ open·2025
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: Jan 10, 2026

Optimization, Test and Diagnostics of Miniaturized Hall Thrusters
12:22

Optimization, Test and Diagnostics of Miniaturized Hall Thrusters

Published on: February 16, 2019

9.5K

A Hierarchical PSMC-LQR Control Framework for Accurate Quadrotor Trajectory Tracking.

Shiliang Chen1, Xinyu Zhu1, Yichao Fang1

  • 1Institute of Electronic and Electrical Engineering, Civil Aviation Flight University of China, 46 Nanchang Road, Guanghan 618307, China.

Sensors (Basel, Switzerland)
|November 27, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel hierarchical control framework for quadrotor unmanned aerial vehicles (UAVs). The new method significantly improves trajectory tracking accuracy and robustness against disturbances.

Keywords:
disturbance rejection controllinear quadratic regulatormodel predictive controlnonlinear systemparticle swarm optimizationtrajectory tracking

More Related Videos

Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.0K
A Structured Rehabilitation Protocol for Improved Multifunctional Prosthetic Control: A Case Study
06:58

A Structured Rehabilitation Protocol for Improved Multifunctional Prosthetic Control: A Case Study

Published on: November 6, 2015

10.2K

Related Experiment Videos

Last Updated: Jan 10, 2026

Optimization, Test and Diagnostics of Miniaturized Hall Thrusters
12:22

Optimization, Test and Diagnostics of Miniaturized Hall Thrusters

Published on: February 16, 2019

9.5K
Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.0K
A Structured Rehabilitation Protocol for Improved Multifunctional Prosthetic Control: A Case Study
06:58

A Structured Rehabilitation Protocol for Improved Multifunctional Prosthetic Control: A Case Study

Published on: November 6, 2015

10.2K

Area of Science:

  • Robotics
  • Control Systems Engineering
  • Aerospace Engineering

Background:

  • Quadrotor UAVs face challenges in accurate trajectory tracking due to nonlinear dynamics, uncertainties, and external disturbances.
  • Achieving precise position tracking and stable attitude regulation simultaneously under control constraints is difficult.

Purpose of the Study:

  • To develop a hierarchical control framework for enhanced quadrotor UAV trajectory tracking.
  • To improve robustness against model uncertainties and external disturbances.
  • To ensure precise position tracking and stable attitude regulation.

Main Methods:

  • A hierarchical control framework combining Particle Swarm Optimization (PSO)-compensated Model Predictive Controller (PSMC) and an enhanced Linear Quadratic Regulator (LQR).
  • Outer-loop PSMC adaptively mitigates prediction errors and enhances robustness.
  • Inner-loop LQR with gain scheduling and control-rate relaxation accelerates attitude convergence and ensures smooth control.

Main Results:

  • The proposed framework reduced mean tracking errors by over 13.2%, 17.1%, and 28% in x, y, and z directions under calm conditions compared to a conventional MPC-LQR baseline.
  • Under wind disturbances, the framework reduced mean tracking errors by over 34%, 26.2%, and 46.8% in x, y, and z directions.
  • Lyapunov-based stability analysis confirmed closed-loop convergence.

Conclusions:

  • The hierarchical PSMC-LQR framework offers superior trajectory tracking accuracy for quadrotor UAVs.
  • The proposed method demonstrates strong robustness against external disturbances and model uncertainties.
  • The framework exhibits high practical implementability for real-world quadrotor control applications.