Some new passive and active methods for reducing the effects of seismic disturbances on suspended masses are described, with special reference to gravitational radiation detectors in which differential horizontal motions of two or more suspended test masses are monitored. In these methods it is important to be able to determine horizontal seismic accelerations independent of tilts of the ground...

We state two recent results concerning the linearization of integrable systems on generalised Jacobians. Then we apply this to the (complexified) spherical pendulum.

background: despite some successful dynamic simulation of self-impact double pendulum (sidp)-as humanoid robots legs or arms- studies, there is limited information available about the control of one leg locomotion. objective   : the main goal of this research is to improve the reliability of the mammalians leg locomotion and building more elaborated models close to the natural movements, by mod...

In this paper, we investigate the nonlinear behavior of the recently proposed rotating pendulum which is a cylindrically nonlinear system with irrational type having smooth and discontinuous characteristics depending on the value of a smoothness parameter. We introduce a cylindrical approximate system whose analytical solutions can be obtained successfully to reflect the nature of the original ...

According to the existed structure and algorithm of extension controller, proposed an improved extension control algorithm based on the Optimal Control, which was named LQR-EC, and applied to a SIMO system—Crane-Double Pendulum System. And, using MATLAB simulation platform to study the effect of the LQR—EC Algorithm. The result shows that, the LQR-EC Algorithm not only has a simple theory, but ...

The inverted pendulum is a canonical problem in both Nonlinear Dynamics and Control Theory. In this article, the phenomenon of dynamic stabilization of the vertically driven inverted pendulum is investigated experimentally and numerically. We resolve the first stabilizing boundary in driving parameter space, as well as investigate the effects of frictional damping on the dynamics of the pendulu...

Double Inverted Pendulum is a nonlinear system, unstable and fast reaction system. Double Inverted Pendulum is stable when its two pendulums allocated in vertically position and have no oscillation and movement and also inserting force should be zero. The aim of the paper is to design and performance analysis of the double inverted pendulum and simulation of Linear Quadratic Regulator (LQR) con...

Melnikov’s method is applied to the planar double pendulum proving it to be a chaotic system. The parameter space of the double pendulum is discussed, and the integrable cases are identified. In the neighborhood of the integrable case of two uncoupled pendulums Melnikov’s integral is evaluated using residue calculus. In the two limiting cases of one pendulum becoming a rotator or an oscillator,...

In order to guarantee real time, a simple control method is presented to stabilize the fast-moving systeminverted pendulum. The method was obtained by mathematical derivation based on the dynamical model of the inverted pendulum system, but the control strategy is independent of the model. It is applicable for controlling other multi input single output plants besides inverted pendulum. A contr...