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JOURNAL OF COMPUTERS, VOL. 8, NO. 6, JUNE 2013 1569<br />

1<br />

-3.12<br />

0.05<br />

0.8<br />

-3.125<br />

0.04<br />

0.6<br />

0.4<br />

-3.13<br />

0.03<br />

0.02<br />

0.2<br />

-3.135<br />

0.01<br />

u<br />

0<br />

angle<br />

-3.14<br />

pos<br />

0<br />

-0.2<br />

-3.145<br />

-0.01<br />

-0.4<br />

-0.6<br />

-3.15<br />

-0.02<br />

-0.03<br />

-0.8<br />

-3.155<br />

-0.04<br />

-1<br />

0 200 400 600 800<br />

T<br />

-3.16<br />

0 200 400 600 800<br />

T<br />

-0.05<br />

0 200 400 600 800<br />

T<br />

Figure 13. Real-time operat<strong>in</strong>g curves of MPC controller-tun<strong>in</strong>g system<br />

Figure 14. Steady state variance comparison bar charts<br />

the system easy to extend and analysis, this will provide a<br />

new way for later controller performance evaluation and<br />

tun<strong>in</strong>g research.<br />

ACKNOWLEDGMENT<br />

This work is supported by National Science<br />

Foundation of Ch<strong>in</strong>a under Grant 60974065.<br />

REFERENCES<br />

[1] Experiment on Inverted Pendulum Device and Its<br />

Automatic Control. Googol Technology (Shenzhen), 2005.<br />

(<strong>in</strong> Ch<strong>in</strong>ese).<br />

[2] D. Chatterjee, A. Patra and H.K. Joglekar, “Sw<strong>in</strong>g-up and<br />

stabilization of a cart–pendulum system under restricted<br />

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355–364, November 2002.<br />

http://dx.doi.org/10.1016/s0167-6911(02)00229-3.<br />

[3] M. Bugeja, “Non-L<strong>in</strong>ear Sw<strong>in</strong>g-Up and Stabiliz<strong>in</strong>g Control<br />

of an Inverted Pendulum System,” EUROCON 2003.<br />

Computer as a Tool. The IEEE Region 8, vol. 2, pp. 437–<br />

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[4] S.y. Zhang, “A new fuzzy controller for stabilization of<br />

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vol. 1, pp. 300–303, June 2010.<br />

[5] Y. Fan and Yi. Sang, “A Fuzzy Control Based on<br />

Information Integration for Double Inverted Pendulum,”<br />

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Manufactur<strong>in</strong>g &Automation, pp. 24–27, 2011.<br />

[6] L.X. Deng and S.X. Gao, “The design for the controller of<br />

the l<strong>in</strong>ear <strong>in</strong>verted pendulum based on backstepp<strong>in</strong>g,”<br />

Electronic and Mechanical Eng<strong>in</strong>eer<strong>in</strong>g and Information<br />

Technology (EMEIT), vol.6, pp. 2892–2895, August 2011.<br />

[7] J. Richalet, A. Rault and J. Testud, “Model predictive<br />

heuristic control: Applications to <strong>in</strong>dustrial process,”<br />

Automatic, vol.14:5, pp. 413–428, September 1978.<br />

http://dx.doi.org/10.1016/0005-1098(78)90001-8.<br />

[8] S.J. Q<strong>in</strong> and T. A. Badgwell, “A survey of <strong>in</strong>dustrial model<br />

predictive control technology,” Control Eng<strong>in</strong>eer<strong>in</strong>g<br />

Practice, vol. 11:7, pp. 733–764, July 2003.<br />

http://dx.doi.org/10.1016/s0967-0661(02)00186-7.<br />

© 2013 ACADEMY PUBLISHER

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