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CEAS EuroGNC 2019

Minimum-Time Control of Linear Systems between Arbitrary States
Fabio Curti School of Aerospace Engineering, Sapienza University of Rome, Rome, Italy
Marcello Romano School of Aerospace Engineering, Sapienza University of Rome, Rome, Italy
Abstract:
For the first time to the best knowledge of the authors, a solution method is here presented for the problem of minimum-time control of a general linear time-invariant normal system evolving from an arbitrary initial state to an arbitrary desired final state subjected to a cubic-constrained control. In particular it is demonstrated that the above problem can be solved by exploiting the solution of an associated minimum-time control problem from an initial state related to the boundary states of the original problem to the state-space origin. Furthermore, new analytical solutions are presented for this optimal control problem in the important case of a double integrator system. In particular, the final time and the open loop control sequences are given explicitly as a function of the boundary states and a feedback optimal control synthesis is given. Notably, exact minimum-time control solution is currently known only for the case of minimum-time control of a double integrator from an arbitrary state to the state-space origin.
Keywords: Optimal control
 View PDF CEAS-GNC-2019-055


Fabio Curti, Marcello Romano: Minimum-Time Control of Linear Systems between Arbitrary States. Proceedings of the 2019 CEAS EuroGNC conference. Milan, Italy. April 2019. CEAS-GNC-2019-055.
BibTeX entry:

@Incollection{CEAS-GNC-2019-055,
    authors = {Curti, Fabio and Romano, Marcello},
    title = {Minimum-Time Control of Linear Systems between Arbitrary States},
    booktitle = {Proceedings of the 2019 {CEAS EuroGNC} conference},
    address = {Milan, Italy},
    month = apr,
    year = {2019},
    note = {CEAS-GNC-2019-055}
}