The inverted pendulum benchmark in nonlinear control theory: a survey

O Boubaker - International Journal of Advanced Robotic …, 2013 - journals.sagepub.com
For at least fifty years, the inverted pendulum has been the most popular benchmark, among
others, in nonlinear control theory. The fundamental focus of this work is to enhance the …

Dissipative systems analysis and control

B Brogliato, R Lozano, B Maschke, O Egeland - Theory and Applications, 2007 - Springer
Thank you for opening the third edition of this monograph, dedicated to dissipative linear or
nonlinear, autonomous or time-varying, smooth or nonsmooth, single-valued or set-valued …

Sliding mode control of a class of underactuated systems

R Xu, Ü Özgüner - Automatica, 2008 - Elsevier
A sliding mode control approach is proposed to stabilize a class of underactuated systems
which are in cascaded form. This class of underactuated systems can represent many real …

[图书][B] Discontinuous systems: Lyapunov analysis and robust synthesis under uncertainty conditions

YV Orlov - 2008 - books.google.com
A major problem in control engineering is robust feedback design that stabilizes a nominal
plant while also attenuating the influence of parameter variations and external disturbances …

Nonlinear coupling control laws for an underactuated overhead crane system

Y Fang, WE Dixon, DM Dawson… - … /ASME transactions on …, 2003 - ieeexplore.ieee.org
In this paper, we consider the regulation control problem for an underactuated overhead
crane system. Motivated by recent passivity-based controllers for underactuated systems, we …

New energy analytical results for the regulation of underactuated overhead cranes: An end-effector motion-based approach

N Sun, Y Fang - IEEE Transactions on Industrial Electronics, 2012 - ieeexplore.ieee.org
In this paper, we present a novel end-effector (payload) motion-based control development
approach for the regulation of underactuated overhead cranes, which is efficient even in the …

Energy and passivity based control of the double inverted pendulum on a cart

W Zhong, H Rock - Proceedings of the 2001 IEEE International …, 2001 - ieeexplore.ieee.org
The paper considers the design of a nonlinear controller for the double inverted pendulum
(DIP), a system consisting of two inverted pendulums mounted on a cart. The swingup …

Ergodic exploration of distributed information

LM Miller, Y Silverman, MA MacIver… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper presents an active search trajectory synthesis technique for autonomous mobile
robots with nonlinear measurements and dynamics. The presented approach uses the …

Output feedback stabilization of inverted pendulum on a cart in the presence of uncertainties

J Lee, R Mukherjee, HK Khalil - Automatica, 2015 - Elsevier
An output feedback controller is proposed for stabilization of the inverted pendulum on a cart
in the presence of uncertainties. The output feedback controller has a multi-time-scale …

The inverted pendulum: A fundamental benchmark in control theory and robotics

O Boubaker - International conference on education and e …, 2012 - ieeexplore.ieee.org
For at least fifty years, the inverted pendulum has been the most popular benchmark, among
others, for teaching and researches in control theory and robotics. This paper presents the …