Anti-sway control for overhead crane

The models of overhead crane system have been studied in many regulation methods; hence bring about the variation parameter. However, there are have the similar conjecture of angular velocity (thetas dot) in the mathematics models of pendulum system. The angular velocity can be deduced to be zero to perform the simply system as the linear equation form. In this paper, the different direction of mathematical analysis of an overhead crane model was study what the angular velocity (thetasdot) was set as in the same value of natural angular velocity (omega_n) instead of neglected to return this values. These equations are still having the linear equation properties for the state space equation. The purpose of this study is to reduce the error of controller design to give the equation to be close to the real system. A design recommendation for optimal asymptotic linear quadratic (LQ) controllers with fixed gain and when follow to changed mass load are present to improve the stabilities. The results show the over shoot value was diminished. And, the extended gain values have less than the previous values of calculations. Whereas, the period of time of the system descended to the steady state have the same value. Which give the advantage to obviate the problem of over feed extended gain to the system.