This study presents sub-optimal collision-free transfers of spacecraft subject to constraints on control magnitude. In order to mitigate the difficulty in solving an optimal control problem considering directly inequality constraints, the penalty and barrier functions are incorporated into the cost function of optimal tracking problem. Then, the sub-optimal control law is derived by employing the discrete-time generating functions representing the canonical transformation in the discrete-time Hamilton-Jacobi theory. The proposed approach allows us to derive the control law as an algebraic form of the states of spacecraft, reference solution, and obstacles without any iterative process and initial guess. The numerical simulations validate the proposed approach by showing that spacecraft can reach the target point while avoiding obstacles with constrained control.
|Title of host publication||MED 2018 - 26th Mediterranean Conference on Control and Automation|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||5|
|Publication status||Published - 2018 Aug 20|
|Event||26th Mediterranean Conference on Control and Automation, MED 2018 - Zadar, Croatia|
Duration: 2018 Jun 19 → 2018 Jun 22
|Name||MED 2018 - 26th Mediterranean Conference on Control and Automation|
|Other||26th Mediterranean Conference on Control and Automation, MED 2018|
|Period||18/6/19 → 18/6/22|
Bibliographical noteFunding Information:
This work has been supported by the National GNSS Research Center program of Defense Acquisition Program Administration and Agency for Defense Development.
© 2018 IEEE.
All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Control and Systems Engineering
- Mechanical Engineering
- Control and Optimization