Indirect fractional order pole assignment based adaptive control

Abstract

The design method of polynomial control laws by mean of pole placement are actually smart solutions to many industrial applications. This category of controllers is very popular in the industry; however most of their applications concern only problems with constant reference signals. In this paper, we propose an indirect adaptive controller by fractional order pole placement. The proposed control strategy is based on the self-tuning control structure and on-line estimation of the plant model parameters using the Recursive Least Squares (RLS) algorithm. To show the effectiveness of the proposed control scheme two simulation examples are presented. The first example is the control of a DC motor angular speed and the second one is the control of an air-lubricated capstan drive for precision positioning. Improvement in the system control dynamical behavior compared to classical control scheme has been shown for the two illustrative examples.

Keywords

• Fractional order control
• Fractional adaptive control
• Indirect pole placement
• Fractional order system