scholarly journals Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Song Xu ◽  
Hui Lv ◽  
Heng Liu ◽  
Aijing Liu

This paper focuses on the robust control of fractional-order economical chaotic system (FOECS) with parametric uncertainties and external disturbances. The dynamical behavior of FOECS is studied by numerical simulation, and circuit implementations of FOECS are also given. Based on fractional-order Lyapunov stability theorems, a robust adaptive controller, which can guarantee that all signals remain bounded and the tracking error tends to a small region, is designed. The proposed method can be used to control a large range of fractional-order systems with system uncertainties. Fractional-order adaptation laws are constructed to update the estimation of adaptive parameters. Finally, the robustness and effectiveness of our control method are indicated by simulation results.

1997 ◽  
Vol 5 (4) ◽  
pp. 469-475
Author(s):  
R.W. Beaven ◽  
M.T. Wright ◽  
M.I. Friswell

2011 ◽  
Vol 128-129 ◽  
pp. 270-275
Author(s):  
Zhi Gao Feng

This paper describes a robust adaptive controller based on specified region pole assignment for flexible hypersonic vehicle. The dynamic model of air-breathing hypersonic vehicle retains features including flexible effects, non-minimum phase behavior, model uncertainties, and strong couplings between flight dynamic and engine. To track velocity and altitude commands, robust controller based on specified region pole assignment is used to make unstable modes of open-loop system stable and guarantee dynamic performance of attitude. Meanwhile adaptive controller is proposed to solve tracking problems when existing control failures or saturation. The simulation results demonstrate that the proposed controller achieves excellent dynamic performance while the engine operates normally.


Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040008
Author(s):  
J. E. LAVÍN-DELGADO ◽  
S. CHÁVEZ-VÁZQUEZ ◽  
J. F. GÓMEZ-AGUILAR ◽  
G. DELGADO-REYES ◽  
M. A. RUÍZ-JAIMES

In this paper, a novel fractional-order control strategy for the SCARA robot is developed. The proposed control is composed of [Formula: see text] and a fractional-order passivity-based adaptive controller, based on the Caputo–Fabrizio and Atangana–Baleanu derivatives, respectively; both controls are robust to external disturbances and change in the desired trajectory and effectively enhance the performance of robot manipulator. The fractional-order dynamic model of the robot manipulator is obtained by using the Euler–Lagrange formalism, as well as the model of the induction motors which are the actuators that drive their joints. Through simulations results, the effectiveness and robustness of the proposed control strategy have been demonstrated. The performance of the fractional-order proposed control method is compared with its integer-order counterpart, composed of the PI controller and the conventional passivity-based adaptive controller, reported in the literature. The performance comparison results demonstrate the superiority and effectiveness of the fractional-order proposed control strategy for a SCARA robot manipulator.


2019 ◽  
Vol 17 (10) ◽  
pp. 2541-2549 ◽  
Author(s):  
Samia Larguech ◽  
Sinda Aloui ◽  
Olivier Pagès ◽  
Ahmed El Hajjaji ◽  
Abdessattar Chaari

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