In this paper, we consider the problem of obtaining optimal controllers which minimize a quadratic cost function for the rotational motion of a rigid body. We are not concerned with the attitude of the body and consider only the evolution of the angular velocity as described by Euler's equations. We obtain conditions which guarantee the existence of linear stabilizing optimal and suboptimal controllers. These controllers have avery simple structure
This paper considers the problem of steering the orientation of an inertially symmetric rigid body o...
In this paper smooth trajectories are computed in the Lie group SO(2, 1) as a motion planning proble...
This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of m...
. This paper considers the problem of controlling the rotational motion of a rigid body using three ...
In the context of controlling the attitude of a rigid body, this communique uses recent results on r...
In this paper we study the problem of optimal control of a rigid body damping rotation with the h...
In this paper we shall use the passive properties of Euler dynamic equations as well as the struc...
This paper presents a solution for optimal feedback regulation of a rigid body motion with the he...
This paper considers the problem of optimal controlling of a programmed motion of a rigid spacecr...
This paper considers the problem of optimal controlling a spacecraft programmed motion without it...
The optimal stabilization of one class of equilibrium positions of a rigid body using rotors syst...
This paper introduces a new class of an optimal stabilizing feedback control law for the attitude...
Optimal stabilization of the rotational motion of a symmetrical rigid body with the help of internal...
The author studies the minimax optimal control problem for an extensible beam equation that takes in...
Euler proved that every rotation of a 3-dimensional body can be realized as a sequence of three rota...
This paper considers the problem of steering the orientation of an inertially symmetric rigid body o...
In this paper smooth trajectories are computed in the Lie group SO(2, 1) as a motion planning proble...
This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of m...
. This paper considers the problem of controlling the rotational motion of a rigid body using three ...
In the context of controlling the attitude of a rigid body, this communique uses recent results on r...
In this paper we study the problem of optimal control of a rigid body damping rotation with the h...
In this paper we shall use the passive properties of Euler dynamic equations as well as the struc...
This paper presents a solution for optimal feedback regulation of a rigid body motion with the he...
This paper considers the problem of optimal controlling of a programmed motion of a rigid spacecr...
This paper considers the problem of optimal controlling a spacecraft programmed motion without it...
The optimal stabilization of one class of equilibrium positions of a rigid body using rotors syst...
This paper introduces a new class of an optimal stabilizing feedback control law for the attitude...
Optimal stabilization of the rotational motion of a symmetrical rigid body with the help of internal...
The author studies the minimax optimal control problem for an extensible beam equation that takes in...
Euler proved that every rotation of a 3-dimensional body can be realized as a sequence of three rota...
This paper considers the problem of steering the orientation of an inertially symmetric rigid body o...
In this paper smooth trajectories are computed in the Lie group SO(2, 1) as a motion planning proble...
This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of m...