M. Nemani et al., MULTIRATE ANALYSIS AND DESIGN OF VISUAL FEEDBACK DIGITAL SERVO-CONTROL SYSTEM, Journal of dynamic systems, measurement, and control, 116(1), 1994, pp. 45-55
This paper addresses the analysis and design of digital motion control
system with machine vision as a feedback measurement in the servo loo
p. The camera vision is modeled as a discrete time-delayed sensor. A m
ultirate formulation is proposed based on the fact that vision update
rate is slower than the digital servo-control update rate and is analy
zed through the lifting technique which converts the periodic time var
ying multirate system to a time invariant one. Some interesting proper
ties of this specific multirate system are found and are utilized in c
ontrol system design. An l-1 norm optimal control problem is formulate
d to minimize the maximum time domain error, which has direct connecti
on to camera field of view and mechanical tolerance. A numerical examp
le is given to demonstrate the presented methods.