In this paper, an MPC solution is devised for linear time-periodic optimal regulation problems requiring the minimization of a sum of vector norms. Such type of problems arise for instance in aerospace applications, in which it is desired to trade-off fuel consumption and state regulation performance, while limiting as much as possible the control activation time. Closed-loop stability is guaranteed by embedding in the design a terminal set and a terminal cost, both of which are periodically time-varying. Differently from quadratic MPC, the terminal cost is in the form of a weighted 2-norm. A systematic method to construct such a function is presented. The proposed design is demonstrated on a spacecraft rendezvous case study with periodic dynamics.

Leomanni, M., Bianchini, G., Garulli, A., Quartullo, R. (2020). Sum-Of-Norms MPC for Linear Periodic Systems with Application to Spacecraft Rendezvous. In 2020 59th IEEE Conference on Decision and Control (CDC) (pp.4665-4670). New York : IEEE [10.1109/CDC42340.2020.9303992].

Sum-Of-Norms MPC for Linear Periodic Systems with Application to Spacecraft Rendezvous

Leomanni, Mirko;Bianchini, Gianni
;
Garulli, Andrea;Quartullo, Renato
2020-01-01

Abstract

In this paper, an MPC solution is devised for linear time-periodic optimal regulation problems requiring the minimization of a sum of vector norms. Such type of problems arise for instance in aerospace applications, in which it is desired to trade-off fuel consumption and state regulation performance, while limiting as much as possible the control activation time. Closed-loop stability is guaranteed by embedding in the design a terminal set and a terminal cost, both of which are periodically time-varying. Differently from quadratic MPC, the terminal cost is in the form of a weighted 2-norm. A systematic method to construct such a function is presented. The proposed design is demonstrated on a spacecraft rendezvous case study with periodic dynamics.
2020
978-1-7281-7447-1
978-1-7281-7448-8
Leomanni, M., Bianchini, G., Garulli, A., Quartullo, R. (2020). Sum-Of-Norms MPC for Linear Periodic Systems with Application to Spacecraft Rendezvous. In 2020 59th IEEE Conference on Decision and Control (CDC) (pp.4665-4670). New York : IEEE [10.1109/CDC42340.2020.9303992].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1124948