Specifically setting a time delay fractional financial system as the study object, this paper proposes a single controller method to eliminate the impact of model uncertainty and external disturbances on the system. The proposed method is based on the stability theory of Lyapunov sliding-mode adaptive control and fractional-order linear systems. The controller can fit the system state within th...

The objective of this work is to find out optimum settings for a fractional PI controller in order to fulfil three different robustness specifications of design for the compensated system, taking advantage of the fractional order, λ. Since this fractional controller has one parameter more than the conventional PI controller, one more specification can be fulfilled, improving the performance of ...

Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent system for the given different-order system is introduced by which a new stability condition is obtained that is easier to check in practice than the conditions ...

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 ...

In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

A class of switching system is studied in this paper. A Fractional order controller for Sliding Mode Control (SMC) is proposed to control such systems. An augmented fractional order system is considered in order to design the controller. Therefore, more information about the system is available and the controller will have more degrees of freedom than the integer one. The results can either be ...

This paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. The proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. As a result, the proposed controller is simple, fast response and superior to the torque c...

This paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. The proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. As a result, the proposed controller is simple, fast response and superior to the torque c...

— The objective of this work is to nd out optimum settings for a fractional PI D controller in order to ful l ve different design speci cations for the closed-loop system, taking advantage of the fractional orders, and . Since these fractional controllers have two parameters more than the conventional PID controller, two more speci cations can be met, improving the performance of the system. Fo...

In process industries PID controllers are used more. In PID controller we have three parameters for tuning and tuning is done by using Ziegler-Nicholas method. In this paper we used fractional PID controller for coupled tank system and by using a tuning method for getting required response. First used zieglar-nicholas and Astrom-Hagglund method for tuning, then derived two non-linear equations ...