Stability Analysis of a Class of Fractional-Order Controllers

In this paper, two types of fractional order systems are given. Taking fractional calculus as the basic tool, the analysis of fractional order systems, the identification of fractional order systems, the design of fractional order controllers and the rational approximation of fractional order operators are carried out and researched. The main work includes the stability and relative stability analysis of two types of fractional-order systems. Due to the introduction of fractional-order calculus operators, the dynamic characteristics of fractional-order systems are much more complicated than those of integer-order systems. The systems are also very different.