Interconnection and dam** assignment passivity-based control of mechanical systems with underactuation degree one

JA Acosta, R Ortega, A Astolfi… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
Interconnection and dam** assignment passivity-based control is a new controller design
methodology developed for (asymptotic) stabilization of nonlinear systems that does not rely …

Sha** the energy of mechanical systems without solving partial differential equations

A Donaire, R Mehra, R Ortega… - 2015 American …, 2015 - ieeexplore.ieee.org
Control of underactuated mechanical systems via energy sha** is a well-established,
robust design technique. Unfortunately, its application is often stymied by the need to solve …

Total energy sha** control of mechanical systems: simplifying the matching equations via coordinate changes

G Viola, R Ortega, R Banavar… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
Total energy sha** is a controller design methodology that achieves (asymptotic)
stabilization of mechanical systems endowing the closed-loop system with a Lagrangian or …

Further constructive results on interconnection and dam** assignment control of mechanical systems: The acrobot example

A D. Mahindrakar, A Astolfi, R Ortega… - International Journal of …, 2006 - Wiley Online Library
Interconnection and dam** assignment passivity‐based control is a controller design
methodology that achieves (asymptotic) stabilization of mechanical systems endowing the …

Passivity-based control of mechanical systems

R Ortega, A Donaire, JG Romero - … Systems: In Honor of Laurent Praly, 2017 - Springer
Stabilization of mechanical systems by sha** their energy function is a well-established
technique whose roots date back to the work of Lagrange and Dirichlet. Ortega and Spong …

Energy sha** control for systems with underactuation degrees two by controlled Lagrangian method

C Liu - International Journal of Robust and Nonlinear Control, 2022 - Wiley Online Library
This article investigates underactuated systems' energy sha** control by controlled
Lagrangian (CL) method. The existence of CL based control depends on a set of matching …

On the matching equations of energy sha** controllers for mechanical systems

N Crasta, R Ortega, HK Pillai - International Journal of Control, 2015 - Taylor & Francis
Total energy sha** is a controller design methodology that achieves (asymptotic)
stabilisation of mechanical systems endowing the closed-loop system with a Lagrangian or …

A matrix algorithm based on controlled Lagrangians for stabilizing mechanical systems with underactuation degree one

G Chen, W Huo - Nonlinear Dynamics, 2022 - Springer
A matrix control algorithm based on controlled Lagrangian method is presented in this paper
to stabilize a class of mechanical systems with underactuation degree one. Firstly, a desired …

Sha** the energy of port-Hamiltonian systems without solving PDE's

P Borja, R Cisneros, R Ortega - 2015 54th IEEE Conference on …, 2015 - ieeexplore.ieee.org
Equilibrium stabilisation of nonlinear systems via energy sha** is a well-established,
robust, passivity-based controller design technique. Unfortunately, its application is often …

Griffiths variational multisymplectic formulation for Lovelock gravity

S Capriotti, J Gaset, N Román-Roy… - General Relativity and …, 2020 - Springer
This work is mainly devoted to constructing a multisymplectic description of Lovelock's
gravity, which is an extension of General Relativity. We establish the Griffiths variational …