This paper aims to apply the practical tuning procedure for fractional order proportional and integral controller (FO-PI) to two experimental platforms. The first platform is Quanser’s Heat Flow Experiment (HFE) and the second platform is the Quanser’s Rotary Flexible Joint (RFJ) Module. The fractional controllers in both cases have been digitally implemented using Oustaloup’s recursive approxi...

Active magnetic levitation control system is an open-loop, unstable, complex, nonlinear and strong coupling control system, which can not achieve good control effect by using conventional PID controller. Therefore, the fractional order PID controller is used in active magnetic control system. The integer order of conventional PID controller is extended to fractional order range, thus there are ...

In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order (SISO) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets for the identification of the fractional order chaotic system, whereas the lack of a priori knowledge on the control directions is solved by introducing a fractional order Nussbau...

This paper concentrates on the study of decentralized fuzzy control method for a class fractional-order interconnected systems with unknown directions. To overcome difficulties caused by multiple directions in systems, novel Nussbaum function technique is proposed. much more general than those existing works since it not only handles single/multiple but also suitable fractional/integer-order si...

In this paper, a new approach to stability for fractional order control system is proposed. Here a dynamic system whose behavior can be modeled by means of differential equations involving fractional derivatives. Applying Laplace transforms to such equations, and assuming zero initial conditions, causes transfer functions with no integer powers of the Laplace transform variable s to appear. In ...

Liu, Liu, and Liu, in the paper “A novel three-dimensional autonomous chaos system, Chaos, Solitons and Fractals. 39 (2009) 1950-1958”, introduce a novel three-dimensional autonomous chaotic system. In this paper, the fractional-order case is considered. The lowest order for the system to remain chaotic is found via numerical simulation. Stability analysis of the fractional-order system is stud...

In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) is presented. The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon biorthogonal cubic Hermite spline multiwavelets approximations. The properties of biorthogonal multiwavelets are first given. The operational matrix of fractional Riemann-Lioville in...

The fractional order calculus theory and its modeling methods have been applied widely in control field. And design of fractional order control systems become hot point of recent years. This paper establishes fractional order systems which parameters are obtained by Bode’s ideal transfer function method to get the desired frequency response. Apply this method a new control structure of fraction...