Numerical Solution of SDRE Control Problem – Comparison of the Selected Methods
[ 1 ] Instytut Automatyki i Robotyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ D ] phd student | [ P ] employee
2020
scientific article
english
- State-Dependent Riccati equations
- nonlinear systems
- numerical analysis
EN Methods for solving non-linear control systems are still being developed. For many industrial devices and systems, quick and accurate regulators are investigated and required. The most effective and promising for nonlinear systems control is a State-Dependent Riccati Equation method (SDRE). In SDRE, the problem consists of finding the suboptimal solution for a given objective function considering nonlinear constraints. For this purpose, SDRE methods need improvement. In this paper, various numerical methods for solving the SDRE problem, i.e. algebraic Riccati equation, are discussed and tested. The time of computation and computational effort is presented and compared considering selected nonlinear control plants.
29.06.2020
79 - 95
CC BY-NC-ND (attribution - noncommercial - no derivatives)
open journal
final published version
at the time of publication
public
20
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