Sliding modes synthesis in nonlinear dynamic systems with application in pulse voltage stabilizers

摘要

The author develops methods of variable structure system theory for an output tracking problem in nonlinear dynamical systems. The goal is to provide the system a given (desired) quality of tracking error behavior in sliding mode (given eigenvalue placement and invariance to nonlinearities). The sliding mode in such a system is formed on the deviations between system state and the solution of a specially formed system of differential-algebraic equations (DAEs), called the system center. The developed approach is applied to the problem of control law synthesis in pulse voltage stabilizers with a two-section filter.