Robust H∞ integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point, By Valiollah Ghaffari

Research

Title	Robust H∞ integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point
Type	Article
Keywords	Robust controller H∞ controller Integral control Linear matrix inequality Uncertain nonlinear systems
Journal	Communications in Nonlinear Science and Numerical Simulation
DOI	https://doi.org/10.1016/j.cnsns.2021.106158
Researchers	Valiollah Ghaffari (First researcher) , Saleh Mobayen (Second researcher)

Abstract

This paper addresses a robust integral control scheme for a class of nonlinear uncertain systems. Hence, disturbance rejection and set-point regulation are the main goals in the proposed method, and a state-feedback control design would be employed to satisfy the mentioned aims. Then, a linear matrix inequality (LMI) based procedure would be introduced to the controller synthesis. Consequently, a matrix transformation is presented to translate the controller design issue into an LMI feasibility checking problem. Thus, the controller’s gains are numerically calculated by a solution of LMI approach. To show the applicability of the method, the results are used in a numerical example. Comparing the disturbance attenuations and transient performance in none-zero regulation problem, the outcomes verify the efficiency of the proposed technique over the other method.