TO THE QUESTION OF THE STABILIZATION OF MOTION METHODS OF PRACTICAL STABILITY

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TO THE QUESTION OF THE STABILIZATION OF MOTION METHODS OF PRACTICAL STABILITY

Journal Title: Енергетика і автоматика - Year 2018, Vol 0, Issue 6

Abstract

Mathematical models of stabilization problems to practical stability are considered for linear parametric systems with perturbations that are included in the complex problem of designing accelerating-focusing systems. To build a regulator with regard to the requirements for stability in the presence of dynamic constraints on the phase coordinates, practical stability algorithms are applied for systems that depend on parameters. At the same time, the sets of initial conditions and parameters are specified in the structural form of ellipsoids and linear and nonlinear restrictions on the state vector of the corresponding system in dynamics are considered. In the framework of the formulated problems, cases of known and normal-limited perturbations that are normally limited are studied. In order to correct the movement around the calculated trajectories, the problems of stabilizing control systems in a direction are considered. Based on the methods of practical directional stability for parametric systems, the criteria of stabilization to the corresponding types of stability in the presence of perturbations are proved.

Authors and Affiliations

Л. А. ПАНТАЛІЄНКО

Keywords

mathematical model stabilization regulator parameters practical stability parametric system dynamic constraints

EP ID EP467291
DOI -
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