Stable design of uncertain multiple input-output systems for one input failure†

Abstract

A 2 × 2 multiple input-output plant, with a specified range of parameter uncertainty and specified tolerances on the response, is considered. Schauder's fixed-point theorem is used to generate a quantitative synthesis technique which ensures: (1) a rigorous satisfaction of the performance tolerances in the case of no input failures; (2) a stable behaviour of the designed system and acceptable satisfaction of the imposed tolerances in the cases of any single input failure. So, the requirements on each output impose three design conditions simultaneously. A synthesis procedure to achieve these objectives is formulated. The procedure is applied to a practical design example, the longitudinal mode of the fighter aircraft YF16-CCV.

Notes

†This research was supported in part by National Science Foundation Grant ENG-8303333 at the University of Colorado.