This paper presents the duality property of a Modified State-Dependent Riccati Equation MSDRE approach in optimal estimation and control. A nonlinear controller using the MSDRE is developed through a pseudo-linearization of spacecraft augmented nonlinear dynamics and kinematics. Based on the duality property of the MSDRE, the full-state information required for the controller is provided by a MSDRE estimator for spacecraft three-axis attitude and rate estimation based on the magnetometer measurements and their time derivatives. The spacecraft is controlled via magnetic actuation only using magnetorquers in a momentum bias system. The stability of the controller/estimator is investigated through Lyapunov function analysis. The presented approach has shown the capability of estimating the attitude better than 5 deg and rate of order 0.03 deg/s while, keeping the pointing accuracy within 5 deg with pointing stability of less than 0.05 deg/s in each axis.
|Title of host publication||AIAA Guidance, Navigation, and Control Conference|
|Publication status||Published - 2010|
|Event||AIAA Guidance, Navigation, and Control Conference - Toronto, ON, Canada|
Duration: 2010 Aug 2 → 2010 Aug 5
|Name||AIAA Guidance, Navigation, and Control Conference|
|Other||AIAA Guidance, Navigation, and Control Conference|
|Period||10/8/2 → 10/8/5|
Bibliographical noteFunding Information:
This work is supported by the Korean Science and Engineering Foundation (KOSEF) through the National Research Laboratory Program funded by the Ministry of Science and Technology (No. M10600000282-06j0000-28210).
All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Control and Systems Engineering