화학공학소재연구정보센터
International Journal of Control, Vol.69, No.6, 753-771, 1998
Uncertainty compensation for a flexible link manipulator using nonlinear H-infinity control
In a flexible-link manipulator, in general the effect of some parameters such as payload, friction amplitude and damping coefficients cannot be exactly measured. One possibility is to consider the above as parameters with uncertainty. In this paper, constant as well as L-2-bounded deviations of parameters from their nominal values are considered as uncertainties. These uncertainties make it difficult for a linear controller to achieve desired closed-loop performance. To remedy this problem, a nonlinear dynamical model of a flexible-link manipulator which has a constant input vector field (g in (x) over dot = f(x) + g(x)u) is obtained. Based on recent results in nonlinear robust regulation with an H-infinity constraint a nonlinear controller is designed for the flexible-link manipulator. The contribution of this paper is in demonstrating that the nonlinear controller has a larger domain of attraction than the linearized controller. In fact, for the single-link flexible manipulator considered in this paper, the linear H-infinity controller results in instability for step changes in the desired output of greater than 3.6 rad, whereas the nonlinear H-infinity controller yields desired step changes of 2 pi rad. Simulation results demonstrating the advantages and superiority of the nonlinear H-infinity controller over the linear H-infinity controller are presented.