Hamiltonian optimal control of distributed Lagrangian systems. (English) Zbl 07907891
Azimov, Dilmurat (ed.), Proceedings of the IUTAM symposium on optimal guidance and control for autonomous systems 2023. Cham: Springer. IUTAM Bookser. 40, 219-236 (2024).
Summary: This paper presents a distributed Hamiltonian optimal control method method for a class of distributed Lagrangian infinite-dimensional systems coupled to nonlinear finite-dimensional systems. A virtual control concept in conjunction with an optimal control allocation strategy is employed using the Hamilton’s principle to provide a distributed Hamiltonian control solution that spans an infinite-dimensional eigenfunction space. The distributed optimal control theory is formulated using a semi-group abstraction resulting in an integro-differential Riccati equation. An aircraft flight control application is presented to illustrate the theory.
For the entire collection see [Zbl 1531.93010].
For the entire collection see [Zbl 1531.93010].
MSC:
| 49K10 | Optimality conditions for free problems in two or more independent variables |
Keywords:
Hamiltonian control; distributed-parameter optimal control; Lagrangian infinite-dimensional systemsReferences:
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