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 …

Robust H∞ control of spacecraft rendezvous on elliptical orbit

X Gao, KL Teo, GR Duan - Journal of the Franklin Institute, 2012 - Elsevier
This paper investigates the robust H∞ control problem of spacecraft rendezvous on elliptical
orbit. Based on Lyapunov theory, a sufficient condition for the existence of the robust H∞ …

An overview of recent developments in computational methods for periodic systems

A Varga - IFAC Proceedings Volumes, 2007 - Elsevier
Abstract At the First IFAC Workshop on Periodic Systems (Como, Italy, 2001), a state of the
art survey of computational methods for periodic systems has been presented (Varga and …

On the solution of the Riccati differential equation arising from the LQ optimal control problem

L Ntogramatzidis, A Ferrante - Systems & Control Letters, 2010 - Elsevier
In this paper we consider the matrix Riccati differential equation (RDE) that arises from linear-
quadratic (LQ) optimal control problems. In particular, we establish explicit closed formulae …

A numerical evaluation of solvers for the periodic Riccati differential equation

S Gusev, S Johansson, B Kågström, A Shiriaev… - BIT Numerical …, 2010 - Springer
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati
differential equation (PRDE) are addressed. Such methods are essential, for example, to …

An optimal control approach to spacecraft rendezvous on elliptical orbit

X Gao, KL Teo, GR Duan - Optimal Control Applications and …, 2015 - Wiley Online Library
In this paper, we consider a linear quadratic regulator control problem for spacecraft
rendezvous in an elliptical orbit. A new spacecraft rendezvous model is established. On the …

[HTML][HTML] Fourier expansion based recursive algorithms for periodic Riccati and Lyapunov matrix differential equations

HJ Peng, ZG Wu, WX Zhong - Journal of computational and applied …, 2011 - Elsevier
Combining Fourier series expansion with recursive matrix formulas, new reliable algorithms
to compute the periodic, non-negative, definite stabilizing solutions of the periodic Riccati …

LMI approach for solving periodic matrix Riccati equation

SV Gusev, AS Shiriaev, LB Freidovich - IFAC Proceedings Volumes, 2007 - Elsevier
LMI APPROACH FOR SOLVING PERIODIC MATRIX RICCATI EQUATION Page 1 LMI
APPROACH FOR SOLVING PERIODIC MATRIX RICCATI EQUATION Sergei V. Gusev ∗ …

[图书][B] Robustness and efficiency of planar biped walking robots

DC Post - 2013 - search.proquest.com
Legged robots are desirable for many applications, especially in man-made environments
where having legs is a distinct advantage over having wheels. The legged robots in these …

Rotor-blade vibration control using a periodic LQR controller

CS Jakobsen, JF Camino… - Proceeding Series of …, 2013 - proceedings.sbmac.org.br
This paper presents an active control strategy based on the periodic time varying linear
quadratic regulator problem to attenuate the vibration of a coupled rotor-blade system via …