Design of adaptive systems by using fractional calculus system´s approach

Author

Takamatsu, Takahiro ; Ohmori, Hiromitsu

Author_Institution

Sch. of Integrated Design Eng., Keio Univ., Yokohama, Japan

fYear

2013

Firstpage

3095

Lastpage

3099

Abstract

The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.

Keywords

control system synthesis; integration; large-scale systems; model reference adaptive control systems; transient response; MRACS; adaptive system design; adaptive transfer function; arbitrary order adaptive control law; complex system; control system tuning; fractional calculus system approach; fractional order derivative; fractional order integration; model matching condition; model reference control system; plant control; transient response; visco-elastic body; Adaptation models; Approximation methods; Control systems; Fractional calculus; Numerical simulation; Transfer functions; Adaptive control; Fractional calculus; Fractional order control; Model reference control system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639952