Quantitative feedback theory for multiple-input-multiple output feedback systems with control input failures†

Abstract

In quantitative feedback theory (QFT), plant parameter and disturbance uncertainties are the reasons for using feedback. The system design is tuned to quantitative statements of these parameters and of the performance tolerances. Available design freedom is used to minimize the cost of feedback which is in the bandwidths of the loop transfer functions. This paper extends QFT to 2 × 2 linear time invariant (LTI) multiple-input-multiple-output plants, in which total failure of some control inputs is possible. Maximum possible achievement of the performance specifications is determined, with single fixed LTI compensation networks. A detailed design example is included.