We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Analysis and chaos control of a four-dimensional magnetohydrodynamic model with hyperchaotic solutions.
- Authors
Daum, Hilson H.; Tusset, Angelo M.; Ribeiro, Mauricio A.; Litak, Grzegorz; Bueno, Atila M.; Balthazar, Jose M.
- Abstract
In this paper, the dynamical behavior of a four-dimensional magnetohydrodynamic model, consisting of a generalized Lorenz model, is investigated. A nonlinear dynamical analysis is performed using Lyapunov exponents and bifurcation diagrams, focusing on the chaotic and hyperchaotic behaviors associated with the bifurcation parameter k 1 that couples the equations of fluid displacement to the induced magnetic field. The State-dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) techniques are considered to design the state feedback control system that stabilizes the system to a previously defined orbit. The performance of the control systems are compared showing that the OLFC presents better results.
- Subjects
FEEDBACK control systems; STATE feedback (Feedback control systems); RICCATI equation; LYAPUNOV exponents; BIFURCATION diagrams; MAGNETOHYDRODYNAMICS
- Publication
European Physical Journal: Special Topics, 2021, Vol 230, Issue 18-20, p3457
- ISSN
1951-6355
- Publication type
Article
- DOI
10.1140/epjs/s11734-021-00236-4