Skip to content
DSML.KZ
Publications

Article · Modern Applied Science · September 30, 2015

Research of the Robust Stability of Control Systems Using a New Approach to the Lyapunov Functions Construction

Gulzhan Uskenbayeva
Open via DOI

Abstract

We investigate a new approach to the construction of vector Lyapunov functions. An approach to the construction of Lyapunov functions as vector functions is developed based on a geometrical interpretation of the second method of Lyapunov. The negative of the gradient is determined from the components of the time derivative of the state vector (i.e., the right-hand side of the state equation). The region of stability of a closed-loop linear, stationary system with uncertain parameters is governed by inequalities in the matrix elements of the closed-loop system. This study developed a method for analysing the robust stability of SISO and MIMO linear systems in canonical forms.

Stability and Control of Uncertain SystemsAdvanced Control Systems DesignControl and Stability of Dynamical Systemsrobust stabilityvector Lyapunov functionsLyapunov direct method

More by Gulzhan Uskenbayeva