Jh. Li et Ths. Li, ON THE COMPOSITE AND REDUCED OBSERVER-BASED CONTROL OF DISCRETE 2-TIME-SCALE SYSTEMS, Journal of the Franklin Institute, 332B(1), 1995, pp. 47-66
A two-stage observer-based controller design of discrete two-time-scal
e (DTTS) systems is presented in this paper. The necessary and suffici
ent conditions for this kind of controlled system are all addressed. T
he robust slow-observer-based (SOB) controller is investigated in deta
il. For a fast sampling rate model, prediction type observer-based con
troller and SOB controller are proposed. Both prediction type and curr
ent estimation type observer-based controller and SOB controllers are
developed for a slow rate model of DTTS systems. A twin-engine aviatio
n aircraft is utilized to illustrate the derived schemes.