Fractional-order Generalized Principle of Self-support (FOGPSS) in Control System Design

This paper reviews research that studies the principle of self-support U+0028 PSS U+0029 in some control systems and proposes a fractional-order generalized PSS framework for the first time. The existing PSS approach focuses on practical tracking problem of integer-order systems including robotic dynamics, high precision linear motor system, multi-axis high precision positioning system with unmeasurable variables, imprecise sensor information, uncertain parameters and external disturbances. More generally, by formulating the fractional PSS concept as a new generalized framework, we will focus on the possible fields of the fractional-order control problems such as practical tracking, U+03BB-tracking, etc. of robot systems, multiple mobile agents, discrete dynamical systems, time delay systems and other uncertain nonlinear systems. Finally, the practical tracking of a first-order uncertain model of automobile is considered as a simple example to demonstrate the efficiency of the fractional-order generalized principle of self-support U+0028 FOGPSS U+0029 control strategy. © 2014 Chinese Association of Automation.

This paper reviews research that studies the principle of self-support(PSS) in some control systems and proposes a fractional-order generalized PSS framework for the first time.The existing PSS approach focuses on practical tracking problem of integer-order systems including robotic dynamics,high precision linear motor system,multi-axis high precision positioning system with unmeasurable variables,imprecise sensor information,uncertain parameters and external disturbances.More generally,by formulating the fractional PSS concept as a new generalized framework,we will focus on the possible fields of the fractional-order control problems such as practical tracking,λ-tracking,etc.of robot systems,multiple mobile agents,discrete dynamical systems,time delay systems and other uncertain nonlinear systems.Finally,the practical tracking of a first-order uncertain model of automobile is considered as a simple example to demonstrate the efficiency of the fractional-order generalized principle of self-support(FOGPSS) control strategy.