This paper introduces a model predictive control (MPC) strategy incorporating state estimates derived from set-membership filtering, tailored for time-varying discrete systems experiencing bounded process and measurement disturbances. We employ an ellipsoidal set description, founded on a dual-phase prediction and measurement update mechanism. At each time step, we construct ellipsoids through the resolution of a semi-definite program to encapsulate the system’s true state. In a related development, we develop a zonotope set-membership filter for these time-varying systems, where the zonotope’s dimensions are minimized via segment minimizations. These estimated sets are then utilized in an MPC scheme, where the control input sequence is optimized by minimizing a defined cost function. The efficacy of our approach is validated through a rendezvous and proximity operation simulation, where a chaser spacecraft is guided toward a target. Comparative analysis with the traditional Kalman filter is presented, demonstrating the advantages and effectiveness of our proposed method.
Rendezvous and Proximity Operations with Ellipsoidal and Zonotopic Set-Membership Filtering in MPC
J Astronaut Sci
08.01.2025
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Model predictive control , Set-membership filtering , Unknown-but-bounded disturbance , Ellipsoids , Zonotopes Engineering , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
Rendezvous and Proximity Operations with Ellipsoidal and Zonotopic Set-Membership Filtering in MPC
Springer Verlag | 2025
|Automated Rendezvous and Proximity Operations
NTIS | 1991
|Shuttle rendezvous and proximity operations
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|Automated rendezvous and proximity operations
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|