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 …

Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function

Q Zhu, H Wang - Automatica, 2018 - Elsevier
This paper investigates the problem of output feedback control for a class of stochastic
feedforward systems with unknown control coefficients and unknown output function. Since …

Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form

H Wang, Q Zhu - Automatica, 2015 - Elsevier
This paper deals with the problem of finite-time stabilization for a class of high-order
stochastic nonlinear systems in strict-feedback form. By using It ô's formula, mathematical …

Can we make a robot ballerina perform a pirouette? Orbital stabilization of periodic motions of underactuated mechanical systems

AS Shiriaev, LB Freidovich, IR Manchester - Annual Reviews in Control, 2008 - Elsevier
This paper provides an introduction to several problems and techniques related to
controlling periodic motions of dynamical systems. In particular, we consider planning …

Global asymptotic stabilization of feedforward systems with delay in the input

F Mazenc, S Mondie, R Francisco - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
The problem of globally uniformly asymptotically and locally exponentially stabilizing a
family of nonlinear feedforward systems when there is a delay in the input is solved. No …

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 …

[KÖNYV][B] Motion control of underactuated mechanical systems

The growth in automated manufacturing since the '60s has motivated the study of the control
and motion planning of many types of mechanical systems, such as industrial manipulators …

Predictor-based control for an uncertain Euler–Lagrange system with input delay

N Sharma, S Bhasin, Q Wang, WE Dixon - Automatica, 2011 - Elsevier
Controlling a nonlinear system with actuator delay is a challenging problem because of the
need to develop some form of prediction of the nonlinear dynamics. Develo** a predictor …

State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay

L Liu, XJ **e - Automatica, 2013 - Elsevier
This paper investigates a class of stochastic feedforward nonlinear systems with time-
varying delay. By introducing the homogeneous domination approach to stochastic systems …

Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay

CR Zhao, XJ **e - Automatica, 2014 - Elsevier
In this paper, we consider the problem of global stabilization for a class of stochastic high-
order feedforward nonlinear systems with time-varying delay. By introducing the …