Analysis of reset control systems consisting of a FORE and second-order loop

Reset controllers consist of two parts-a linens compensator and a reset ele ment The linear compensator is designed, in the usual ways, to meet all clo sed-loop performance specifications while relaxing the overshoot constraint . Then, the reset element is chosen to meet this remaining step-response sp ecification. In this paper, we consider the case when such linear compensat ion results in a second-order (loop) transfer function and where a first-or der reset element (FORE) is employed. We analyze the closed-loop reset cont rol system addressing performance issues such as stability, steady-state re sponse, and transient performance.