The method of controlled Lagrangians for discrete mechanical systems is extended to include potential shaping in order to achieve complete state-space asymptotic stabilization. New terms in the controlled shape equation that are necessary for matching in the discrete context are introduced. The theory is illustrated with the problem of stabilization of the cart-pendulum system on an incline. We also discuss digital and model predictive control
Matching techniques are applied to the problem of stabilization of uniformly accelerated motions of ...
This paper discusses the matching conditions resulting from the controlled Lagrangians method and th...
We apply methods of the so-called "inverse problem of the calculus of variations" to the stabilizati...
Matching techniques are developed for discrete mechanical systems with symmetry. We describe new ph...
Controlled Lagrangian and matching techniques are developed for the stabilization of relative equili...
Controlled Lagrangian and matching techniques are developed for the stabilization of equilibria of d...
For pt.I, see ibid., vol.45, p.2253-70 (2000). We extend the method of controlled Lagrangians (CL) t...
We extend the method of controlled Lagrangians to include potential shaping for complete state-space...
We develop a method for the stabilization of mechanical systems with symmetry based on the technique...
The method of controlled Lagrangians is a technique for stabilizing relative equilibria of mechanic...
We describe a class of mechanical systems for which the “method of controlled Lagrangians” provides ...
We describe the effect of physical dissipation on stability of equilibria which have been stabilize...
Obtains feedback stabilization of an inverted pendulum on a rotor arm by the “method of controlled L...
This paper is an outgrowth of the work of Bloch, Krishnaprasad, Marsden and Sánchez de Alvarez [1992...
The equations of motion of a controlled mechanical system subject to holonomic constraints may be fo...
Matching techniques are applied to the problem of stabilization of uniformly accelerated motions of ...
This paper discusses the matching conditions resulting from the controlled Lagrangians method and th...
We apply methods of the so-called "inverse problem of the calculus of variations" to the stabilizati...
Matching techniques are developed for discrete mechanical systems with symmetry. We describe new ph...
Controlled Lagrangian and matching techniques are developed for the stabilization of relative equili...
Controlled Lagrangian and matching techniques are developed for the stabilization of equilibria of d...
For pt.I, see ibid., vol.45, p.2253-70 (2000). We extend the method of controlled Lagrangians (CL) t...
We extend the method of controlled Lagrangians to include potential shaping for complete state-space...
We develop a method for the stabilization of mechanical systems with symmetry based on the technique...
The method of controlled Lagrangians is a technique for stabilizing relative equilibria of mechanic...
We describe a class of mechanical systems for which the “method of controlled Lagrangians” provides ...
We describe the effect of physical dissipation on stability of equilibria which have been stabilize...
Obtains feedback stabilization of an inverted pendulum on a rotor arm by the “method of controlled L...
This paper is an outgrowth of the work of Bloch, Krishnaprasad, Marsden and Sánchez de Alvarez [1992...
The equations of motion of a controlled mechanical system subject to holonomic constraints may be fo...
Matching techniques are applied to the problem of stabilization of uniformly accelerated motions of ...
This paper discusses the matching conditions resulting from the controlled Lagrangians method and th...
We apply methods of the so-called "inverse problem of the calculus of variations" to the stabilizati...