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Preparation of Papers in Two-Column Format - International Journal ...

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Amplitude<br />

Tun<strong>in</strong>g Of PID Controller Of Inverted Pendulum Us<strong>in</strong>g Genetic Algorithm<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

Step Response<br />

PID<br />

GA PID<br />

Mr.kunal chakraborty is a lecturer <strong>of</strong> IMPS<br />

eng<strong>in</strong>eer<strong>in</strong>g college, Malda. He recived his B.Tech<br />

degree from Haldia Institute <strong>of</strong> Technology <strong>in</strong> 2010.<br />

He also a f<strong>in</strong>al year student <strong>of</strong> Asansol Eng<strong>in</strong>eer<strong>in</strong>g<br />

College <strong>of</strong> M.Tech <strong>in</strong> Electrical Department. He has a<br />

numbers <strong>of</strong> publications[Both <strong>in</strong> <strong>Journal</strong>s & <strong>in</strong><br />

Proceed<strong>in</strong>gs <strong>of</strong> Conferences, National &<br />

<strong>International</strong>]. His research <strong>in</strong>terests are <strong>in</strong> control<br />

system,Measurement.<br />

0.4<br />

0.2<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

Time (sec)<br />

Fig. 7.ISE GA PID Controller <strong>of</strong> cart<br />

Mr Rabi Ranjan Mukherjee is a f<strong>in</strong>al year student <strong>in</strong><br />

M.Tech <strong>in</strong> the Department <strong>of</strong> Electrical Eng<strong>in</strong>eer<strong>in</strong>g,<br />

Asansol Eng<strong>in</strong>eer<strong>in</strong>g College, Kanyapur, Vivekananda<br />

Sarani, Asansol, Burdwan-713305, India. He received<br />

his B.Tech degree <strong>in</strong> Electrical Eng<strong>in</strong>eer<strong>in</strong>g from West<br />

Bengal University <strong>of</strong> Technology <strong>in</strong> the year 2010. He<br />

has a numbers <strong>of</strong> publications[Both <strong>in</strong> <strong>Journal</strong>s & <strong>in</strong><br />

Proceed<strong>in</strong>gs <strong>of</strong> Conferences, National & <strong>International</strong>]. His research<br />

<strong>in</strong>terests are <strong>in</strong> control system.<br />

Mr.Suvobratra Mukherjee is a f<strong>in</strong>al year student <strong>of</strong><br />

M.Tech <strong>in</strong> the department <strong>of</strong> Electrical Eng<strong>in</strong>eer<strong>in</strong>g<br />

<strong>of</strong> Asansol Eng<strong>in</strong>eer<strong>in</strong>g college Kanyapur,<br />

Vivekananda Sarani, Asansol, Burdwan-713305. He<br />

received his B.Tech degree <strong>in</strong> Electrical Eng<strong>in</strong>eer<strong>in</strong>g<br />

from West Bengal University <strong>of</strong> Technology <strong>in</strong> the<br />

year 2007. He is also an Assistant Pr<strong>of</strong>essor <strong>in</strong> Dept.<br />

<strong>of</strong> E.E, IMPS Eng<strong>in</strong>eer<strong>in</strong>g College, Malda. He has<br />

two & one number <strong>of</strong> publications <strong>in</strong> National &<br />

<strong>International</strong> Conferences.<br />

Fig. 8.ITSE GA PID Controller <strong>of</strong> cart<br />

CONCLUSION<br />

Modell<strong>in</strong>g <strong>of</strong> <strong>in</strong>verted pendulum shows that system is<br />

unstable with non-m<strong>in</strong>imum phase zero. Results <strong>of</strong> apply<strong>in</strong>g<br />

PID controllers show that the system can be stabilized.<br />

while PID controller method is cumbersome because <strong>of</strong><br />

selection <strong>of</strong> constants <strong>of</strong> controller, Constant <strong>of</strong> the<br />

controllers can be tuned by some Genetic Algorithm<br />

technique for better result if same order <strong>of</strong> reference model<br />

like our system is chosen then the result will be<br />

comparatively better. If Walsh function can be used <strong>in</strong><br />

equation (1&2) then we will directly f<strong>in</strong>d out the solution <strong>of</strong><br />

non-l<strong>in</strong>ear differential equations and non-l<strong>in</strong>ear controller<br />

can be designed.<br />

REFERENCES<br />

[1] Elmer P. Dadias, Patrick S. Fererandez, and David J,”Genetic<br />

Algorithm on L<strong>in</strong>e Controller For The Flexible Inverted Pendulum<br />

Problem”, <strong>Journal</strong> Of Advanced Computational Intelligence and<br />

Intelligent Informatics<br />

[2] R. Murillo Garcia1, F. Wornle1, B. G. Stewart1 and D. K. Harrison1,<br />

“Real-Time Remote Network Control <strong>of</strong> an Inverted Pendulum us<strong>in</strong>g<br />

ST-RTL”, 32nd ASEE/IEEE Frontiers <strong>in</strong> Education Conference<br />

November 6 - 9, 2002, Boston, MA.<br />

[3] DONGIL CHOI and Jun-Ho Oh “Human-friendly Motion Control <strong>of</strong><br />

a Wheeled Inverted Pendulum by Reduced-order Disturbance<br />

Observer” 2008 IEEE <strong>International</strong> Conference on Robotics and<br />

Automation Pasadena, CA, USA, May 19-23, 2008.<br />

[4] W. Wang, “Adaptive fuzzy slid<strong>in</strong>g mode control for <strong>in</strong>verted<br />

pendulum,” <strong>in</strong> Proceed<strong>in</strong>gs <strong>of</strong> the Second Symposium <strong>International</strong><br />

Computer Science and Computational Technology(ISCSCT ’09)<br />

uangshan, P. R. Ch<strong>in</strong>a, 26-28, Dec. pp. 231-234, 2009.<br />

[5] Berenji HR. A re<strong>in</strong>forcement learn<strong>in</strong>g-based architecture for fuzzy<br />

logic control. <strong>International</strong> <strong>Journal</strong> <strong>of</strong> Approximate Reason<strong>in</strong>g<br />

1992;6(1):267–92.<br />

[6] I. H. Zadeh and S. Mobayen, “ PSO-based controller for balanc<strong>in</strong>g<br />

rotary <strong>in</strong>verted pendulum, ” J. AppliedSci., vol. 16, pp. 2907-2912<br />

2008.<br />

24

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