This paper presents a design method for a class of fuzzy control systems. The class of fuzzy systems considered can be represented by the Takagi-Sugeno fuzzy model which is a type of dynamic fuzzy model. A constructive algorithm is developed to obtain the stabilizing feedback control law for the system. The main contribution of this paper is the development of an equivalent principle; that is,the design of a fuzzy control system is equivalent to the design of a set of linear time-invariant ‘extreme’ systems. Thus any design method in linear control system theory can be used to design a fuzzy control system. An example is given to illustrate the application of the method.