Affiliation:
1. School of Electronics and Internet of Things Henan Polytechnic Zhengzhou China
2. Sino‐German Engineering Institute Shanghai Technical Institute of Electronics & Information Shanghai China
Abstract
AbstractThis paper solves the tracking problem by designing the time‐varying control for a class of nonlinear pendulum system. First, by analyzing the pendulum dynamics, we get a second‐order nonlinear strict‐feedback system, and the tracking problem is converted into a stabilizing problem of this nonlinear system. Then, we consider a candidate output feedback control with time‐varying parameters, and analyze the system dynamics to get the stabilizing condition through utilizing the backstepping approach. Although this condition is nonlinear, which is not easy to be solved, under some special conditions, the parameters can be calculated. Finally, the simulation on the tracking problem for the pendulum system is presented, which verifies our results.
Subject
Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)