The Stability of Fuzzy Control Systems

Abstract

According to obligatory industrial regulations issued by Authorities of many countries, the stability of a control System governed by a Controller of a proposed type has to be proved. That requirement is treated as a necessary condition for use of the control System. There are many applications where “delivery” of proof of control System stability has to be perceived as a task of crucial importance. The control Systems affect the safety of people (stabilizing airplane flight, etc.), govern costly plants and complicated industrial processes which are sensitive to loss of stability. The same regulations should be satisfied regardless of whether fuzzy or non-fuzzy Controllers are considered.