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National University of Defense Technology

Navigation Technology and Application: Advanced Algorithm Implementation

National University of Defense Technology via XuetangX

Overview

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1. Course Introduction

Navigation technology is widely deployed on various land, sea, air and space unmanned platforms, and has seen rapid expansion from high-end national defense equipment to civilian sectors. Inertial and integrated navigation algorithms are among the core enabling technologies in this field.

Supported by typical cases and navigation program demonstrations, this course illustrates the fundamental algorithms and underlying principles of inertial and integrated navigation. Simulation and field data are adopted to reinforce learners’ comprehension of relevant algorithms. It enables participants to proficiently grasp the basic theories and application approaches of inertial and integrated navigation algorithms in an efficient manner, bridging theory and practice and allowing learners to experience the value of advanced algorithm development and hands-on implementation.

The course centers on two major technical modules:

1.1 Inertial Navigation Algorithms

This module consists of fundamentals and performance analysis of inertial navigation algorithms.

(1) Fundamentals of Inertial Navigation Algorithms

It elaborates mathematical representations of carrier attitudes and corresponding conversion algorithms and programs, covering Euler angles, direction cosine matrices, quaternions and equivalent rotation vectors, and derives the differential equations of carrier attitudes. Taking dead reckoning navigation of underwater vehicles as a typical case, this section conducts simulation analysis based on carrier attitude and velocity data, and explains algorithms and programs related to commonly used navigation coordinate systems, representation of latitude, longitude and altitude, as well as position updating.

(2) Analysis of Inertial Navigation Algorithms

Combined with practical cases, this part presents the differential equations of attitude, velocity and position for inertial navigation in the inertial frame, Earth frame and local navigation frame. It also introduces numerical integration algorithms and program implementation for inertial navigation differential equations, along with algorithm simulation and analysis. Both simulation and field data are used to deepen the understanding of inertial navigation algorithms.

1.2 Multi-source Integrated Navigation Algorithms

This module includes fundamentals and engineering applications of inertial-based integrated navigation.

(1) Fundamentals of Inertial-based Integrated Navigation Algorithms

This section clarifies the concept of integrated navigation, the necessity of integrated navigation for various moving platforms, and the implementation tools. It also expounds the establishment of inertial navigation error models in integrated navigation systems, including differential equations for attitude errors, velocity errors, position errors and sensor errors.

(2) Applications of Inertial-based Integrated Navigation Algorithms

Targeting various land, sea and air moving carriers, this section conducts in-depth interpretation and hands-on practice of diverse integrated navigation algorithms. Based on inertial navigation error models, the state equations for integrated navigation filtering are established, and the observation equations are constructed using multi-source navigation information. The influence of state transformation on filtering performance of integrated navigation is analyzed.

The content covers key technologies and applications such as fine alignment of strapdown inertial navigation in integrated navigation, transfer alignment for precision airdrop platforms, loose and tight integrated navigation for UAV inertial/satellite systems, vehicle inertial/odometer integrated navigation, multi-sensor integrated navigation for unmanned underwater vehicles, and inertial/visual integrated navigation for unmanned platforms. Characteristics of integrated navigation filtering algorithms in different application scenarios are also summarized.

2. Course Features

Integration of Research and Teaching: The state transformation Kalman filter, an original research achievement of the research group, runs through all chapters. Comparative analysis is provided to demonstrate its technical advantages.

Combination of Theory and Practice: Open-source data and codes are provided for inertial navigation, fine alignment, transfer alignment, inertial/satellite integrated navigation, inertial/odometer integrated navigation, underwater inertial/Doppler integrated navigation and inertial/visual integrated navigation for unmanned platforms. Online programming exercises and virtual simulation training help learners integrate theoretical knowledge with practical skills.

Cross-domain Adaptability: Focusing on application scenarios of land, sea, air and space platforms, the course analyzes the cross-domain adaptability of initial alignment, inertial navigation and integrated navigation algorithms, so as to enhance learners’ capability of technology migration and complex problem solving.

Academic Globalization: Bilingual teaching in Chinese and English is adopted to broaden learners’ international academic horizons and facilitate academic exchanges and cooperation.

3. Target Audience and Course Objectives

This course is designed for science and engineering students, engineering technicians and interdisciplinary researchers. Through full-process training covering navigation system error analysis, algorithm optimization and programming practice, it helps learners connect theories with engineering applications and cultivate the capability to independently design algorithms for multi-source navigation systems.

4. Navigation as the Key, Exploring the Frontier of Intelligence

From theoretical formulas in laboratories to large-scale industrial applications, navigation technology has always been a cornerstone of the intelligent era. Join us for in-depth technical exploration. With codes as tools and innovation as the mission, let us jointly define the core orientation of next-generation positioning technology. Hand in hand, we will forge ahead and embark on a new chapter of the intelligent era.



Syllabus

  • Section of Inertial Navigation: Chapter 1 Fundamentals of Inertial Navigation Algorithm
    • 1.1 Vehicle Attitude Representation and Transformation Based on Euler Angles and the Direction Cosine Matrix
    • 1.2 Vehicle Attitude Representation and Transformation Based on the Equivalent Rotation Vector and Quaternions
    • 1.3 Simulation Analysis on Dead Reckoning Navigation of a UUV Based on Vehicle Attitude and Velocity Information
    • 1.4 Simulation Analysis on Dead Reckoning Navigation of a Wall Climbing Robot Based on Vehicle Attitude and Velocity Information
    • 1.5 Differential Equations of Direction Cosine Matrices and Euler Angles
    • 1.6 Differential Equations of Quaternions and the Equivalent Rotation Vector
    • 1.7 Simulation Analysis of Vehicle Attitude Update Based on Gyro Angular Increments
    • 1.8 Simulation Analysis of Vehicle Position Coordinate Transformation and Vehicle Dead Reckoning Based on Gyro Angular Increments and Vehicle Velocity Information
  • Section of Inertial Navigation: Chapter 2 Algorithm Analysis of Inertial Navigation
    • 2.1 Platform Inertial Navigation Differential Equations and Simulation Analysis
    • 2.2 Strapdown Inertial Navigation Differential Equations and Numerical Integration Algorithms in Inertial Frame
    • 2.3 Numerical Integration Algorithm Simulation Analysis for Strapdown Inertial Navigation Differential Equations in Inertial Frame
    • 2.4 Strapdown Inertial Navigation Differential Equations and Simulation Analysis in Earth Frame
    • 2.5 Strapdown Inertial Navigation Differential Equations and Simulation Analysis in Tangent Plane Frame
    • 2.6 Strapdown Inertial Navigation Differential Equations and Simulation Analysis in Local Navigation Frame
    • 2.7 Numerical Integration Algorithm Simulation Analysis for Strapdown Inertial Navigation Differential Equations in Earth Frame
    • 2.8 Numerical Integration Algorithm Simulation Analysis for Strapdown Inertial Navigation Differential Equations in Tangent Plane Frame
    • 2.9 Numerical Integration Algorithm Simulation Analysis for Strapdown Inertial Navigation Differential Equations in Local Navigation Frame
  • Section of Integrated Navigation: Chapter 1 Fundamentals of Inertial-Based Integrated Navigation
    • 1.1 Fundamentals of Inertial-Based Integrated Navigation (Part 1)
    • 1.2 Fundamentals of Inertial-Based Integrated Navigation (Part 2)
  • Section of Integrated Navigation: Chapter 2 Fine Alignment of INS from the Perspective of Integrated Navigation
    • 2.1 Fine Alignment of INS from the Perspective of Integrated Navigation (Part 1)
    • 2.2 Fine Alignment of INS from the Perspective of Integrated Navigation (Part 2)
  • Section of Integrated Navigation: Chapter 3 State Transformation Filtering Models for Integrated Navigation
    • 3.1 State Transformation Filtering Models for Integrated Navigation (Part 1)
    • 3.2 State Transformation Filtering Models for Integrated Navigation (Part 2)
  • Section of Integrated Navigation: Chapter 4 Transfer Alignment of Precision Airdrop Inertial Navigation System
    • 4.1 Transfer Alignment of Precision Airdrop Inertial Navigation System (Part 1)
    • 4.2 Transfer Alignment of Precision Airdrop Inertial Navigation System (Part 2)
  • Section of Integrated Navigation: Chapter 5 SINS/GNSS Integrated Navigation for Unmanned Platforms
    • 5.1 SINS/GNSS Integrated Navigation for Unmanned Platforms (Part 1)
    • 5.2 SINS/GNSS Integrated Navigation for Unmanned Platforms (Part 2)
  • Section of Integrated Navigation: Chapter 6 SINS/ODO Integrated Navigation for Land Vehicles
    • 6.1 SINS/ODO Integrated Navigation for Land Vehicles (Part 1)
    • 6.2 SINS/ODO Integrated Navigation for Land Vehicles (Part 2)
  • Section of Integrated Navigation: Chapter 7 Inertial based Multi-Sensor Integrated Navigation for Autonomous Underwater Vehicles
    • 7.1 Inertial based Multi-Sensor Integrated Navigation for Autonomous Underwater Vehicles (Part 1)
    • 7.2 Inertial based Multi-Sensor Integrated Navigation for Autonomous Underwater Vehicles (Part 2)
  • Section of Integrated Navigation: Chapter 8 SINS/Vision Integrated Navigation for Unmanned Platforms
    • 8.1 SINS/Vision Integrated Navigation for Unmanned Platforms (Part 1)
    • 8.2 SINS/Vision Integrated Navigation for Unmanned Platforms (Part 2)
  • Examination

    Taught by

    Wang Maosong and Wu Wenqi

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