Title
Cart Velocity Tracking of General IPC Model Using ZG Control Compared with Cart Path Tracking
Abstract
As a typical model, the inverted pendulum on a cart (IPC) has nonlinear, unstable and non-minimum-phase characteristics and is investigated widely for tracking control problem solving. In this paper, we investigate a more general IPC model, in which the link of the pendulum has nonzero mass. Due to device velocity constrained, it is important and meaningful to investigate and analyze the velocity tracking control. To achieve velocity tracking control purposes, the presented ZG controllers consist of controllers of z1g0 and z1g1 types, named by the numbers of times of using Zhang dynamics (ZD) and gradient dynamics (GD) methods. Computer simulations and numerical experiments substantiate the feasibility and effectiveness of the ZG controllers for the velocity tracking control of the general IPC model. Furthermore, the superiority [in conquering the singularity problem (i.e., Division-by-zero problem)] of z1g1 controller for velocity tracking control of the general IPC model is well substantiated via comparative simulation and numerical experiment results. At last, the ZG controllers for cart velocity tracking are compared with those for cart path tracking.
Year
DOI
Venue
2014
10.1109/CSE.2014.43
C3S2E
Keywords
Field
DocType
zg control,general ipc model,constrained device velocity,ipc model,control system synthesis,nonlinear-unstable-nonminimum-phase characteristics,zd method,cart velocity tracking control,gd method,z1g0 type controller,nonzero mass,division-by-zero problem,zg controllers,cart path tracking,pendulums,velocity tracking,inverted pendulum-on-a-cart,nonlinear control systems,pendulum link,gradient methods,control nonlinearities,path tracking,numerical experiments,zhang dynamics method,singularity problem,z1g1 type controller,singularity conquering,computer simulations,gradient dynamics method,computational modeling,tracking,trajectory
Inverted pendulum,Control theory,Nonlinear system,Control theory,Cart,Computer science,Singularity,Pendulum,Trajectory,Path tracking
Conference
Citations 
PageRank 
References 
0
0.34
6
Authors
5
Name
Order
Citations
PageRank
Zhengli Xiao1433.17
Dechao Chen2192.01
Mingzhi Mao3617.82
Hong-Zhou Tan419633.88
Yunong Zhang52344162.43