On an adaptive method of regulator parameters adjustment at discrete time points
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 2
Abstract
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minimizing the quality criterion. The criterion describes Euclidean distance between the system trajectory and the equilibrium point. In order to solve the minimization problem, we linearise the solution of the system in the neighbourhood of the current parameter value via the sensitivity function. The sensitivity function depends on the system solution. We calculate this function plugging the current system solution into the right part of the differential matrix sensitivity equation. We obtain the method and its modifications by minimizing the quadratic part of the quality criterion at the current time. Further we apply the developed algorithm to the problem of stabilization of two-mass oscillations. For this purpose we find the parametric representation of the proper regulator. In computational experiment we use the case of one parameter regulator and the constant time step. The results of the computational experiment are given in the last section of the paper.
Authors and Affiliations
Pichkur V. V. , T. M. Rogovchenko
Keywords
Related Articles
- EP ID EP343941
- DOI -
- Views 66
- Downloads 0
The total boundary value problems for hiperbolic equation with piecewise continuous coefficients and right parts
In this paper, the general boundary value problems for hyperbolic equation with piecewise continuous on spatial variable coefficients and right parts was considered. The solutions such problems were found by using a conc...
The rheology simulation for a inhomogeneous structure of the shear fluid flow into slender clearances
The theory of shear flow structure into slender clearances on the basis of variable viscosity was constructed. The power dependence on local velocity deformation and on distance bounding hard surfaces into priwall layers...
The plane mixed elastical problem for the semi-infinite strip
The loaded plane elastic semistrip, the one boundary of which is fixed and the second one is in the smooth contact condition, is considered. The solution of the problem in −sin, −cos Fourier transformant’s domain is cons...
On the solution of the matrix Sylvester equation
Lyapunov matrix equations and their generalizations — Sylvester matrix equation widely used in the theory of stability of motion, as well as the solution of differential Riccati and Bernoulli equations. If the structure...
Simultaneous approximation of locally integrable functions and their ψ-integrals
Low smoothness case. The article presents the problems of simultaneous approximation of locally integrable functions on the real axis of low smoothness and their integrals using Vallee Poussin operators. The asymptotic l...