perturbation vector
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2017 ◽  
Vol 11 (22) ◽  
pp. 1055-1063
Author(s):  
Rafael Antonio Acosta Rodriguez ◽  
Octavio Jose Salcedo Parra ◽  
Giovanny Mauricio Tarazona Bermudez

This paper evaluates the nonlinear control applied to a magnetic levitating plant, it is explained in detail the nonlinear model of the plant, the state variables, perturbation vector. A state feedback control was triggered by applying a state observer. Finally it was modeled under the control law found in the presence of disturbances.


2013 ◽  
Vol 17 (5) ◽  
pp. 1329-1335
Author(s):  
Qing He ◽  
Mingliang Xie

Various basis functions based on Fourier-Chebyshev Petrov-Galerkin spectral method are described for computation of temporal linear stability of a circular jet. Basis functions presented here are exponentially mapped Chebyshev functions. There is a linear dependence between the components of the perturbation vector field, and there are only two degrees of freedom for the perturbation continuum equation. According to the principle of permutation and combination, the basis function has three basic forms, i. e., the radial, azimuthal or axial component, respectively. The results show that three eigenvalues for various cases are consistent, but there is a preferable basis function for numerical computation.


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