Creating two disjoint stability intervals along the delay axis via controller design: a class of LTI SISO systems

Abstract

Frequency domain technique is adapted here together with an optimization scheme to design controllers for a class of linear time-invariant single-input single-output systems (SISO) with a loop delay, such that the closed loop system can be made stable in two distinct pre-selected delay intervals $$[0,h_{1})$$ and $$(h_{2},h_{3})$$ , where $$h_{1}<h_{2}<h_{3}$$ . This stability-certifying approach is demonstrated over case studies, including an experiment.