Limit cycles elimination in delta-operator systems

Performance recovery of intelligent digital redesign for observer‐based output feedback under immeasurable premise variables

“…The main contributions are twofold: (i) a numerically tractable IDR condition of an analogue fuzzy OBOF controller in the case of immeasurable premise variables, with careful reflection of closed‐loop stability; and (ii) the analysis of performance recovery with respect to the closed‐loop trajectory under the fast sampling limit. To that end, a delta operator defined by δf ( t ) : = (( f ( t + T ) − f ( t ))/ T ) that asymptotically converges to the differential operator [20, 21] is used in discrete‐time modelling of plant dynamics. The global state‐matching condition is cast into a norm‐minimisation problem of the difference between the closed‐loop system matrices.…”