A two-stage observer-based controller design of discrete two-time-scale (DTTS) systems is presented in this paper. The necessary and sufficient conditions for this kind of controlled system are all addressed. The robust slow-observer-based (SOB) controller is investigated in detail. For a fast sampling rate model, prediction type observer-based controller and SOB controller are proposed. Both prediction type and current estimation type observer-based controller and SOB controllers are developed for a slow sampling rate model of DTTS systems. A twin-engine aviation aircraft is utilized to illustrate the derived schemes.
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