Observer Design for Optical Flow-Based Visual-Inertial Odometry with Almost-Global Convergence
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914012977954816 |
|---|---|
| author | Bouazza, Tarek Berkane, Soulaimane Hua, Minh-Duc Hamel, Tarek |
| author_facet | Bouazza, Tarek Berkane, Soulaimane Hua, Minh-Duc Hamel, Tarek |
| contents | This paper presents a novel cascaded observer architecture that combines optical flow and IMU measurements to perform continuous monocular visual-inertial odometry (VIO). The proposed solution estimates body-frame velocity and gravity direction simultaneously by fusing velocity direction information from optical flow measurements with gyro and accelerometer data. This fusion is achieved using a globally exponentially stable Riccati observer, which operates under persistently exciting translational motion conditions. The estimated gravity direction in the body frame is then employed, along with an optional magnetometer measurement, to design a complementary observer on $\mathbf{SO}(3)$ for attitude estimation. The resulting interconnected observer architecture is shown to be almost globally asymptotically stable. To extract the velocity direction from sparse optical flow data, a gradient descent algorithm is developed to solve a constrained minimization problem on the unit sphere. The effectiveness of the proposed algorithms is validated through simulation results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observer Design for Optical Flow-Based Visual-Inertial Odometry with Almost-Global Convergence Bouazza, Tarek Berkane, Soulaimane Hua, Minh-Duc Hamel, Tarek Robotics Systems and Control This paper presents a novel cascaded observer architecture that combines optical flow and IMU measurements to perform continuous monocular visual-inertial odometry (VIO). The proposed solution estimates body-frame velocity and gravity direction simultaneously by fusing velocity direction information from optical flow measurements with gyro and accelerometer data. This fusion is achieved using a globally exponentially stable Riccati observer, which operates under persistently exciting translational motion conditions. The estimated gravity direction in the body frame is then employed, along with an optional magnetometer measurement, to design a complementary observer on $\mathbf{SO}(3)$ for attitude estimation. The resulting interconnected observer architecture is shown to be almost globally asymptotically stable. To extract the velocity direction from sparse optical flow data, a gradient descent algorithm is developed to solve a constrained minimization problem on the unit sphere. The effectiveness of the proposed algorithms is validated through simulation results. |
| title | Observer Design for Optical Flow-Based Visual-Inertial Odometry with Almost-Global Convergence |
| topic | Robotics Systems and Control |
| url | https://arxiv.org/abs/2508.21163 |