Title : 
The effect of the fractional-order controller´s orders variation on the fractional-order control systems
         
        
            Author : 
Zeng, Qing-shan ; Cao, Guang-yi ; Xin-Jian Zhu
         
        
            Author_Institution : 
Dept. of Autom., Shanghai Jiao Tong Univ., China
         
        
        
        
        
        
            Abstract : 
This paper concerns fractional-order controllers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of the fractional-order system and the fractional-order controller are outlined. The variation of the fractional-order controller´s order and its effect on the fractional-order control systems are investigated by qualitative analysis and simulation study. Conclusions and simulation examples are given.
         
        
            Keywords : 
control system analysis; dynamic response; polynomials; reduced order systems; robust control; three-term control; characteristic polynomial; dynamic performance; fractional calculus; fractional-order PID controller; fractional-order control systems; fractional-order controller order variation; qualitative analysis; robustness; simulation; Analytical models; Automatic control; Automation; Control system synthesis; Control systems; Damping; Differential equations; Fractional calculus; Laplace equations; Polynomials;
         
        
        
        
            Conference_Titel : 
Machine Learning and Cybernetics, 2002. Proceedings. 2002 International Conference on
         
        
            Print_ISBN : 
0-7803-7508-4
         
        
        
            DOI : 
10.1109/ICMLC.2002.1176776