1,212 research outputs found
Asymptotic and finite-time almost global attitude tracking: representations free approach
In this paper, the attitude tracking problem is considered using the rotation
matrices. Due to the inherent topological restriction, it is impossible to
achieve global attractivity with any continuous attitude control system on
. Hence in this work, we propose some control protocols achieve almost
global tracking asymptotically and in finite time, respectively. In these
protocols, no world frame is needed and only relative state informations are
requested. For finite-time tracking case, Filippov solutions and non-smooth
analysis techniques are adopted to handle the discontinuities. Simulation
examples are provided to verify the performances of the control protocols
designed in this paper.Comment: arXiv admin note: text overlap with arXiv:1705.0282
Generalized Homogeneous Rigid-BodyAttitude Control
The attitude tracking problem for a full-actuated rigid body in 3D is studied
using a impulsive system model based on Lie algebra so(3). A nonlinear
homogeneous controller is designed to globally track a smooth attitude
trajectory in a finite or a (nearly) fixed time. A global settling time
estimate is obtained, which is easily adjustable by tuning the homogeneity
degree. The local input-to-state stability is proven. Simulations illustrating
the performance of the proposed algorithm are presented
Global Exponential Attitude Tracking Controls on SO(3)
This paper presents four types of tracking control systems for the attitude
dynamics of a rigid body. First, a smooth control system is constructed to
track a given desired attitude trajectory, while guaranteeing almost
semi-global exponential stability. It is extended to achieve global exponential
stability by using a hybrid control scheme based on multiple configuration
error functions. They are further extended to obtain robustness with respect to
a fixed disturbance using an integral term. The resulting robust, global
exponential stability for attitude tracking is the unique contribution of this
paper, and these are developed directly on the special orthogonal group to
avoid singularities of local coordinates, or ambiguities associated with
quaternions. The desirable features are illustrated by numerical examples
Dynamics and control of a class of underactuated mechanical systems
This paper presents a theoretical framework for the dynamics and control of underactuated mechanical systems, defined as systems with fewer inputs than degrees of freedom. Control system formulation of underactuated mechanical systems is addressed and a class of underactuated systems characterized by nonintegrable dynamics relations is identified. Controllability and stabilizability results are derived for this class of underactuated systems. Examples are included to illustrate the results; these examples are of underactuated mechanical systems that are not linearly controllable or smoothly stabilizable
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