Ch. Chuang et al., A ROBUST CONTROLLER FOR 2ND-ORDER SYSTEMS USING ACCELERATION MEASUREMENTS, Journal of dynamic systems, measurement, and control, 119(2), 1997, pp. 350-355
This paper presents a robust control design using strictly positive re
alness for second-order dynamic systems. A robust strictly positive re
al controller stabilizes second-order systems with only acceleration m
easurements. An important property of this design is that the stabiliz
ation is independent of the system plant parameters. The control desig
n connects a virtual system to a given plant such that any strictly po
sitive real controller can be used to achieve robust stability. A spri
ng-mass system is used as an example to demonstrate the robust stabili
ty and robust performance of this design.