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 …

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 …

Control techniques for uncertain second order systems: an LMI approach

DS Gontijo - 2023 - repositorio.ufmg.br
… experiment using an inverted pendulum mobile system were … control is another relevant
issue in applications as structural … the second section, we rewrite PID/PIDA as a state feedback

An LMI-based robust state-feedback controller design for the position control of a knee rehabilitation exoskeleton robot: Comparative analysis

S Jenhani, H Gritli - Measurement and Control, 2024 - journals.sagepub.com
… the S-procedure lemma, the matrix inversion lemma, the Schur complement and the Young
Using the previous expression and applying the Schur complement lemma, we derive the …

Robust feedback control for discrete-time systems based on iterative LMIs with polytopic uncertainty representations subject to stochastic noise

R Dehnert, M Damaszek, S Lerch, A Rauh… - Frontiers in Control …, 2022 - frontiersin.org
… To linearize the inverse of the matrix P, we consider the … types of closed loops, such as PID
structures or observer-based … state feedback controller based on an iterative LMI approach

PID-based attitude control of quadrotor using robust pole assignment and LPV modeling

MH Kazemi, R Tarighi - International Journal of Dynamics and Control, 2024 - Springer
… is introduced to design a PID-based state-feedback control revealing its main advantage, …
speed commands by inverse of (7) (shown with \(F^{ - 1} (U)\)) and after applying the motors …