This work extends list of recently published constrained automatic reset based controllers by optimizing one particular “problematic” solutions with the 4th-order output derivative. Although the proposal itself is derived for integral plus dead-time (IPDT) process models, thanks to the universality of the used ultra-local model, the field of applicability can be very wide and include a number of stable and unstable, linear and non-linear processes. With regard to the progress achieved in the design of generalized automatic reset controllers, the diversity of their various modifications and also with respect to the genius of original automatic reset and hyper reset controllers and their inventors, the contribution further discusses related terminological aspects, especially the misleading designation of these solutions by the term series PI and PID controllers, which was the source of many misunderstandings, problems and contributed to the significant lag in the further development of this type of control. Similar comments it also adds regarding the use of the term anti-reset-windup controller.