Haptic devices had known as advanced technology with the goal is creating experiences of touch by applying forces and motions to operator based on force feedback. Especially in unmanned aerial vehicle (UAV) applications, position end-effector Falcon haptic sets velocity command for UAV. And can feel experience vibration acceleration or collision other objects through a feedback device. In some ...

Abstract This work presents a novel formulation for the numerical solution of optimal control problems related to nonlinear Volterra fractional integral equations systems. A spectral approach is implemented based on new polynomials known as Chelyshkov polynomials. First, properties these are studied solve aforementioned problems. The operational matrices and Galerkin method used discretize cont...

The rocket is the only vehicle that launches the spacecraft in the space. The orientation of the spacecraft in precise position is so crucial. But, the motion of the rocket can be influenced by internal and external disturbances. Furthermore, the rocket is a multi-input and multi-output nonlinear system whose dynamics are unstable and poorly understood. Hence, attitude control of the rocket is ...

in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

This Paper presents a novel Cultural Algorithm based particle swarm optimization (PSO) technique which is intended to assist in converging to a accurate solution in the control of Linear Brushless Direct Current motor (LBLDC). With the novel PSO-based approach the optimal Proportional-Integral-Derivative (PID) controller parameters are deduced for efficient speed control of Linear Brushless DC ...

This paper introduces an optimal fuzzy proportional–integral–derivative (PID) controller. The fuzzy PID controller is a discrete-time version of the conventional PID controller, which preserves the same linear structure of the proportional, integral, and derivative parts but has constant coefficient yet self-tuned control gains. Fuzzy logic is employed only for the design; the resulting control...

Abstract. We discuss the multiplicity of the non-trivial zeros of the Riemann zetafunction and the summatory function M(x) of the Möbius function. The purpose of this paper is to consider two open problems under some conjectures. One is that whether all zeros of the Riemann zeta-function are simple or not. The other problem is that whether M(x) ≪ x holds or not. First, we consider the former pr...