scholarly journals Stabilization and Control of Delayed Recycling High Order Systems with one Unstable Pole at the Direct Path

2015 ◽  
Vol 18 (3) ◽  
pp. 789-801
Author(s):  
Juan Francisco Marquez-Rubio ◽  
Rocio Jasmin Vazquez-Guerra ◽  
Basilio del Muro-Cuéllar ◽  
Olivier Sename
Keyword(s):  
Author(s):  
Erdinc Sahin ◽  
Mustafa Sinasi Ayas

Abstract Control of chaos generally refers to realize a desired behavior of chaotic system output and its states. In this manner, we design a fractional high-order differential feedback controller (FHODFC) to increase tracking performance of a nonlinear system output and its differentials for a desired trajectory signal. The proposed controller is based on fractional calculus and high-order extracted differentials of error signal. The suggested fractional approach is applied to a single-input–single-output affine Duffing-Holmes dynamical system in matlab/simulink environment. Duffing-Holmes system is analyzed for two different problems: estimation and control problems. The simulation results clearly demonstrate superior dynamic behavior of the FHODFC compared to the classical high-order differential feedback controller (HODFC) version for both estimation and control problems.


Author(s):  
Ali Jaafar ◽  
Emmanuel Godoy ◽  
Pierre Lefranc ◽  
Xuefang Lin Shi ◽  
Akram Fayaz ◽  
...  

2015 ◽  
Vol 2015 ◽  
pp. 1-19 ◽  
Author(s):  
Kang Chen ◽  
Bin Fu ◽  
Yuening Ding ◽  
Jie Yan

This paper focuses on the integrated guidance and control (IGC) method applied in the interception of maneuvering near space hypersonic vehicles using the homogeneous high order sliding mode (HOSM) approach. The IGC model is derived by combining the target-missile relative motion and dynamic equations. Then, a fourth-order sliding mode controller is implemented in the augmented IGC model. To estimate the high order derivatives of the sliding manifold which is required in the HOSM method, an Arbitrary Order Robust Exact Differentiator is presented. At last, the idea of virtual control is introduced to alleviate the chattering of the control input without using any saturation functions which may lead to a loss of the robustness. And the stability of the closed-loop system with presented fourth-order homogeneous HOSM controller is also proved theoretically. Finally, simulation results are provided and analyzed to demonstrate the effectiveness of the proposed method in three typical engagement scenarios.


Sign in / Sign up

Export Citation Format

Share Document