Robust feedback control of the underactuated Inertia Wheel Inverted Pendulum under parametric uncertainties and subject to external disturbances: LMI formulation

H Gritli, S Belghith - Journal of the Franklin Institute, 2018 - Elsevier
… , it is difficult to apply the conventional robotics approach to control such … , as in [28], to
limit the size of the gain matrix of the state feedback controller, we introduce two additional LMI

LMI based robust control of inverted pendulum system

MS Alam, S Mandal - Intelligent Techniques and Applications in Science …, 2020 - Springer
… The problem with PID controller is that here two separate PID controllers are … , a robust
state-feedback controller has been designed for inverted pendulum along with servo motor using

H Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

M Chatavi, MT Vu, S Mobayen, A Fekih - Mathematics, 2022 - mdpi.com
… , and the LMI condition is attained. After applying the nonlinear state feedback controller, …
and the matrix inversion lemma to convert BMIs into LMIs using these formulas and by …

Delayed state feedback controller design for inverted pendulum using TS fuzzy modeling: an LMI approach

R Datta, R Dey, B Bhattacharya… - Innovations in Infrastructure …, 2019 - Springer
… a controller for a nonlinear inverted pendulum system. PID, FLC, and state feedback control
… To balance the pendulum in a cart-pendulum system, a force is required to apply on the cart …

LMI‐based robust PID controller design for voltage control of islanded microgrid

M Armin, PN Roy, SK Sarkar, SK Das - Asian Journal of Control, 2018 - Wiley Online Library
… integral derivative (PID) controller has been applied to engineering applications due to its …
Then the optimal control minimising J is given by the linear state feedback law 21: u ∗ =−Kx=−…

A proportional–integral-based robust state-feedback control method for linear parameter-varying systems and its application to aircraft

B Huang, B Lu, Q Li - Proceedings of the Institution of …, 2019 - journals.sagepub.com
… If it is possible to design a PID-like fixed-structure controller for aircraft dynamics in the LPV
… LPV state-feedback control design method is proposed in this paper, which is organized as

LMI-based State Feedback Control of the Underactuated Inertia Wheel Inverted Pendulum to the Unstable Upright Position

H Gritli, S Jenhani - … of Vibration Testing and System …, 2024 - lhscientificpublishing.com
system \par \hfill Inertia wheel inverted pendulum \par \hfill Position control \par \hfill State-feedback
controller \par \hfill LMI … in many real-world applications such as industrial robots, …

Fuzzy state feedback with double integrator and anti-windup for the Van de Vusse reaction

CA Márquez-Vera, MA Màrquez-Vera… - Archives of Control …, 2022 - journals.pan.pl
… is applied in the Van de Vusse reaction that has an inverse … to the state-space submodels
representation, this paper usescontrol techniques such as PID, internal model control (IMC), …

Design of robust control based on linear matrix inequality and a novel hybrid PSO search technique for autonomous underwater vehicle

EY Bejarbaneh, M Masoumnezhad… - Applied Ocean …, 2020 - Elsevier
… The first controller is a PID that optimizes its gains using a novel … The second one is a state
feedback control that uses the … the robust state feedback control for an uncertain semi-linear …

Development of a Fuzzy-LQR and Fuzzy-LQG stability control for a double link rotary inverted pendulum

ZB Hazem, MJ Fotuhi, Z Bingül - Journal of the Franklin Institute, 2020 - Elsevier
… Moreover, an optimum PID-PBC controller was designed for the highly nonlinear … state
feedback controller. The state variables of the system are feedback. All feedbacks multiplied by a …