For a class of robot arms, a proportional-derivative (PD) controller plus gravity compensation yields the global asymptotic stability for regulation tasks, and some proportional-integral-derivative (PID) controllers guarantee local regulation without gravity cancellation. However, these controllers cannot render asymptotic stability for tracking tasks. In this paper, a simple decentralized continuous sliding PID controller for tracking tasks that yields semiglobal stability of all closed-loop signals with exponential convergence of tracking errors is proposed. A dynamic sliding mode without reaching phase is enforced, and terminal attractors, as well as saturated ones, are considered. A comparative experimental study versus PD control, PID control, and adaptive control for a rigid robot arm validates our design.

The haptic device kinematics (position and its derivates) allows evaluate the virtual representation of the human operator in a virtual visualization at the same form defines the interaction with virtual objects programs across of a contact and deformation algorithm. The PHANToM OMNI haptic device, allows the kinematic interaction with complex virtual environments, and the potentials of application require of the available of its mathematical models. In this paper we present the kinematic results and the experimental proofs across of knowledge trajectories, such as the evaluation of the kinematic manipulability allows verify the limits of inherent admissible operation at admissible configuration space or workspace, and to this end allows the free architecture to more applications on different engineering fields.

Light weight quadrotors are highly manoeuvrable autonomous aerial robots (UAV) that outperform most UAVs; however, quadrotors are prone to a wide class of aerodynamic disturbances, vibrations, and uncertainties that demand not only robust but fast attitude control structures. These arguments are compelling enough to motivate the design of a novel fractional‐order control scheme that enforces finite‐time convergence of the sliding manifold to guarantee local exponential tracking. The controller does not exhibit chattering and does not require the knowledge of the dynamic model. The stability analysis is based on a proposed resetting memory principle to deal with memory effects of the differintegral operator, which allows the controller to tackle also robustness against continuous disturbances that are not necessarily differentiable in the conventional sense such as some aerodynamic phenomena. Experimental evidence is presented and discussed to expose the enforcement of the sliding manifold based on a fractional‐order reaching phase that demonstrates the feasibility of the proposed control scheme.