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
This paper proposes a robust feedback controller using Linear Matrix Inequalities (LMIs)
formulation for the stabilization of an underactuated mechanical system, namely the Inertia …

LMI-based synthesis of a robust saturated controller for an underactuated mechanical system subject to motion constraints

H Gritli, S Belghith - European Journal of Control, 2021 - Elsevier
In this paper, we suggest a control synthesis approach for the robust stabilization of an
underactuated mechanical system, the Inertial Wheel Inverted Pendulum (IWIP), with norm …

Self-generated limit cycle tracking of the underactuated inertia wheel inverted pendulum under IDA-PBC

H Gritli, N Khraief, A Chemori, S Belghith - Nonlinear Dynamics, 2017 - Springer
This paper deals with the tracking approach of a self-generated stable limit cycle for an
underactuated mechanical system: The inertia wheel inverted pendulum (IWIP). Such …

Robust stabilization of a class of underactuated mechanical systems using time scaling and Lyapunov redesign

MT Ravichandran… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
This paper presents a controller-design methodology for a class of underactuated
mechanical systems that are affected by parametric uncertainties and external disturbances …

Robust control of nonlinear MAGLEV suspension system with mismatched uncertainties via DOBC approach

J Yang, A Zolotas, WH Chen, K Michail, S Li - ISA transactions, 2011 - Elsevier
Robust control of a class of uncertain systems that have disturbances and uncertainties not
satisfying “matching” condition is investigated in this paper via a disturbance observer based …

Robust sliding mode control for a class of underactuated systems with mismatched uncertainties

DW Qian, XJ Liu, JQ Yi - … , Part I: Journal of Systems and …, 2009 - journals.sagepub.com
Based on the sliding mode control methodology, this paper presents a robust control
strategy for underactuated systems with mismatched uncertainties. The system consists of a …

Robust observer‐based stabilization of Lipschitz nonlinear uncertain systems via LMIs‐discussions and new design procedure

A Zemouche, R Rajamani, H Kheloufi… - … journal of robust and …, 2017 - Wiley Online Library
This paper presents a new observer‐based controller design method for Lipschitz nonlinear
systems with uncertain parameters and‐bounded disturbance inputs. In the presence of …

Stabilization of the Furuta Pendulum with backlash using H‐LMI technique: experimental validation

G Pujol, L Acho - Asian Journal of Control, 2010 - Wiley Online Library
The rotary inverted pendulum, also named Furuta Pendulum, has been studied extensively
for control performance evaluation in under‐actuated mechanisms. The H∞ control invoking …

Anti slip balancing control for wheeled inverted pendulum vehicles

CF Huang, TJ Yeh - IEEE Transactions on Control Systems …, 2019 - ieeexplore.ieee.org
This brief proposes an antislip balancing controller for wheel inverted pendulum (WIP)
vehicles to deal with various traction environments. The controller is designed based on a …

Active disturbance rejection control of the inertia wheel pendulum through a tangent linearization approach

M Ramírez-Neria, H Sira-Ramírez… - International Journal of …, 2019 - Springer
A flatness based approach is proposed for the linear Active Disturbance Rejection Control
(ADRC) stabilization of a nonlinear inertia wheel pendulum (IWP) around its unstable …