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20172021
most citedModel Predictive Tracking Control for Invariant Systems on Matrix Lie Groups via Stable Embedding into Euclidean Spaces

14 citations · 26 across the 8 of their papers we have counts for

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math.OC2020

The Adaptive Dynamic Programming Toolbox

Xiaowei Xing, Dong Eui Chang

The paper develops the Adaptive Dynamic Programming Toolbox (ADPT), which solves optimal control problems for continuous-time nonlinear systems. Based on the adaptive dynamic progr…

math.OC20201 cited

Tracking Controller Design for Satellite Attitude Under Unknown Constant Disturbance Using Stable Embedding

Wonshick Ko, Karmvir Singh Phogat, Nicolas Petit +1

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding te…

math.OC2019

Invariant extended Kalman filter on matrix Lie groups

Karmvir Singh Phogat, Dong Eui Chang

We derive symmetry preserving invariant extended Kalman filters (IEKF) on matrix Lie groups. These Kalman filters have an advantage over conventional extended Kalman filters as the…

math.OC201914 cited

Model Predictive Tracking Control for Invariant Systems on Matrix Lie Groups via Stable Embedding into Euclidean Spaces

Dong Eui Chang, Karmvir Singh Phogat, Jongeun Choi

For controller design for systems on manifolds embedded in Euclidean space, it is convenient to utilize a theory that requires a single global coordinate system on the ambient Eucl…

math.OC2019

Design of Globally Exponentially Convergent Continuous Observers for Velocity Bias and State for Systems on Real Matrix Groups

Dong Eui Chang

We propose globally exponentially convergent continuous observers for invariant kinematic systems on finite-dimensional matrix Lie groups. Such an observer estimates, from measurem…

math.OC2019

Attitude Observer on SO(3) with Time-Varying Reference Directions

Kanishke Gamagedara, Taeyoung Lee, Dong Eui Chang

This paper introduces an advanced Lyapunov stability analysis for an attitude observer that has been developed on the special orthogonal group. In particular, when the attitude obs…