Order Diminution of LTI Systems Using Modified Big Bang Big Crunch Algorithm and Pade Approximation with Fractional Order Controller Design

Author(s):  
Shivam Jain ◽  
Yogesh V. Hote
2018 ◽  
Vol 51 (4) ◽  
pp. 912-917 ◽  
Author(s):  
Eva-H. Dulf ◽  
Mircea Șușcă ◽  
Levente Kovács

Author(s):  
Stavroula Kapoulea ◽  
Georgia Tsirimokou ◽  
Costas Psychalinos ◽  
Ahmed S. Elwakil

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1166 ◽  
Author(s):  
Eva-Henrietta Dulf

Classical fractional order controller tuning techniques usually establish the parameters of the controller by solving a system of nonlinear equations resulted from the frequency domain specifications like phase margin, gain crossover frequency, iso-damping property, robustness to uncertainty, etc. In the present paper a novel fractional order generalized optimum method for controller design using frequency domain is presented. The tuning rules are inspired from the symmetrical optimum principles of Kessler. In the first part of the paper are presented the generalized tuning rules of this method. Introducing the fractional order, one more degree of freedom is obtained in design, offering solution for practically any desired closed-loop performance measures. The proposed method has the advantage that takes into account both robustness aspects and desired closed-loop characteristics, using simple tuning-friendly equations. It can be applied to a wide range of process models, from integer order models to fractional order models. Simulation results are given to highlight these advantages.


Author(s):  
Haiyang Chao ◽  
Ying Luo ◽  
Long Di ◽  
YangQuan Chen

This paper focuses on designing and implementation of fractional order proportional integral (PIα) flight controller on a small fixed-wing unmanned aerial vehicle (UAV). It describes mainly the controller design and simulation studies. The basics of UAV flight control are introduced first with a special emphasis on small UAV platforms. Time domain system identification methods are tried on the UAV roll channel. A new fractional order PI controller design method is then provided based on the identified first order model. The fractional order PIα controller can outperform the traditional integer order PID controller because it has a larger memory and more candidate solutions to choose. The simulation results show the effectiveness of the proposed controller design strategy and the robustness of fractional order controller under conditions of wind gusts and various pay-loads.


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