Name
Abstract | ||
|---|---|---|
We consider optimal control problems for continuous-time systems with time-dependent dynamics, in which the time-dependence arises from the presence of a
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">known</i>
exogenous signal. The problem has been elegantly solved in the case of
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">linear</i>
input-affine systems, for which it has been shown that the solution has a remarkable structure: It is given by the sum of two contributions; a state feedback, which coincides with the
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">unperturbed</i>
optimal control law, and a
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">purely feedforward</i>
term in charge of compensating the effect of the exogenous signal. The objective of this article is to extend the above result to
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nonlinear</i>
input-affine systems. It is shown that, while some of the relevant features of the linear case indeed rely heavily on
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">linearity</i>
and are not preserved in the nonlinear setting, several structural claims can be proved also in the nonlinear case. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1109/TAC.2021.3115427 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Hamilton–Jacobi–Bellman (HJB) equation,nonlinear systems,optimal control problems | Journal | 67 |
Issue | ISSN | Citations |
7 | 0018-9286 | 0 |
PageRank | References | Authors |
0.34 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mario Sassano | 1 | 152 | 30.65 |
| Thulasi Mylvaganam | 2 | 40 | 9.84 |
| Alessandro Astolfi | 3 | 1554 | 169.77 |