Design of Control Systems on the Basis of Partial Knowledge About Nonlinear Objects Represented by Volterra Series and its Application to Artificial Control of Respiration

Abstract

A method is developed to design nonlinear control systems in which controlled objects, and controllers and/or compensators are described by Volterra series. On the basis of some fundamental properties of operations characterized by Volterra functional operators, two kinds of control systems are synthesized providing their input-output relation with that of a reference model which satisfies appropriate technical requirement. The controlled objects are assumed to be not perfectly described, i.e. only important parameters are assumed to be known and others to be unknown. Based on such a limited knowledge of controlled objects, control systems are designed by computer-aided partial model matching technique, which assures the robust control for parameter changes. This method is applied to the design of control systems of artificial respiration, whose dynamics satisfies the requirement of medical treatment.