1.6. CONCLUSION 31
a1_min =1.0076 e3;
a1=ureal('a1',a1_nom ,'Range ' ,[ a1_min , a1_max ]);
a0_max =3.3958 e7;
a0_nom =2.523 e7;
a0_min =1.9979 e7;
a0=ureal('a0',a0_nom ,'Range ' ,[ a0_min , a0_max ]);
%uncertain model of vo(s)/vg(s)
H=tf([ b1 b0 ],[1 a1 a0]);
%Step response of H
step(H)
1.6 CONCLUSION
is chapter showed how one can obtain the interval plant model of a DC-DC converter. A buck
converter is studied as an illustrative example. e proposed method can be used to extract the
uncertain model of other types of DC-DC converters. e next chapter introduces Kharitonovs
theorem.
REFERENCES
Alfaro-Cid, E., McGookin, E., and Murray-Smith, D. Optimisation of the weighting functions
of an H
1
controller using genetic algorithms and structured genetic algorithms. International
Journal of System and Science, pp. 335–347, 2008. DOI: 10.1080/00207720701777959. 4
Asadi, F. and Eguchi, K. Dynamics and Control of DC-DC Converters, Morgan & Claypool,
2018. DOI: 10.2200/s00828ed1v01y201802pel010. 8
Barmish, R. New Tools for Robustness of Linear Systems, Macmillan, 1993. 4
Beaven, R., Wright, M., and Seaward, D. Weighting function selection in the H
1
design pro-
cess. Control Engineering Practice, pp. 625–633, 1996. DOI: 10.1016/0967-0661(96)00044-5.
4
Bevrani, H., Abrishamchian, M., and Safari-Shad, N. Nonlinear and linear robust control of
switching power converters. Proc. of the IEEE International Conference on Control Applications,
pp. 808–813, 1999. DOI: 10.1109/cca.1999.807765. 5, 6
32 REFERENCES
Bevrani, H., Babahajyani, P., Habibi, F., and Hiyama, T. Robust control design and implemen-
tation for a quadratic buck converter. e International Power Electronics Conference ECCE
ASIA, pp. 99–103, Sapporo, 2010. DOI: 10.1109/ipec.2010.5543644. 4
Bevrani, H., Ise, T., Mitani, Y., et al. A robust approach to controller design for DC-DC
quasi-resonant converter. IEEJ Transaction on Industry Application, pp. 91–100, 2004. DOI:
10.1541/ieejias.124.91. 6
Bhattacharyya, S., Chapellat, H., and Keel, L. Robust Control the Parametric Approach, Prentice
Hall PTR, 1995. DOI: 10.1016/b978-0-08-042230-5.50016-5. 4
Bu, J., Sznaier, M., Wang, Z., et al. Robust control design for a parallel resonant con-
verter using synthesis. IEEE Transaction on Power Electronics, pp. 837–853, 1997. DOI:
10.1109/63.623002. 6
Buso, S. Synthesis of a robust voltage controller for a buck-boost converter. Proc.
IEEE Power Electronics Specialists Conference (PESC), pp. 766–772, 1996. DOI:
10.1109/pesc.1996.548668. 6
Chang, C. Robust control of DC-DC converters: e buck converter. Power Electronics Special-
ists Conference, pp. 1094–1097, Atlanta, 1995. DOI: 10.1109/pesc.1995.474951. 4
Chiang, R., Safonov, M., Balas, G., and Packard, A. Robust Control Toolbox, 3rd ed., e Math-
works, Inc., 2007. 5
Donha, D. and Katebi, M. Automatic weight selection for H
1
controller synthesis. International
Journal of Systems Science, pp. 651–664, 2007. DOI: 10.1080/00207720701500559. 4
Erikson, R. and Maksimovic, D. Fundametals of Power Electronics, Springer, 2007. DOI:
10.1007/b100747. 1
Gadoura, I., Suntio, T., and Zenger, K. Dynamic system modeling and analysis for multiloop
operation of paralleled DC/DC converters. Proc. of the International Conference on Power Elec-
tronics and Intelligent Motion, pp. 443–448, 2001. 5
Gadoura, I., Suntio, T., and Zenger, K. Model uncertainty and robust control of paral-
leled DC/DC converters. International Conference on Power Electronics, Machines and Drives,
pp. 74–79, 2002. DOI: 10.1049/cp:20020092. 5
Green, M. and Limbeer, D. Linear Robust Control, Dover Publications, 2012. 5
Gu, D., Petkov, P., and Konstantinov, M. Robust Control Design with MATLAB, Springer, 2013.
DOI: 10.1007/978-1-4471-4682-7. 3, 5
Hernandez, W. Robust control applied to improve the performance of a buck-boost converter.
WSEAS Transaction on Circuit and Systems, pp. 450–459, 2008. 5
REFERENCES 33
Khayat, Y., Naderi, M., Shafiee, Q., et al. Robust control of a DC-DC boost converter: H
2
and
H
1
techniques. 8th Power Electronics, Drive Systems and Technologies Conference (PEDSTC),
pp. 407–412, 2017. DOI: 10.1109/pedstc.2017.7910360. 5
Kislovski, A. S., Ridl, R., and Socal, N. Dynamic Analysis of Switching Mode DC-DC Converter,
Van Nostrand Reinhold, New York, 1991. DOI: 10.1007/978-94-011-7849-5. 1
Kwakernak, H. Robust control and H
1
optimization. Automatica, pp. 255–273, 1993. 5
Lundstron, P., Skogestad, S., and Wang, Z. Performance weight selection for H-infinity and
-control methods. Transactions of the Institute of Measurement and Control, (24), pp. 1–252,
1991. DOI: 10.1177/014233129101300504. 4
Maksimovic, D., Stankovic, A., Tottuvelil, V., et al. Modeling and simulation of power elec-
tronic converters. Proc. IEEE, pp. 898–912, 2001. DOI: 10.1109/5.931486. 1
Middlebrook, R. and Cuk, S. General unified approach to modelling switching-converter power
stages. International Journal of Electronics eoretical and Experimental, 42(6):521–550, 1977.
DOI: 10.1109/pesc.1976.7072895. 1
Naim, R., Weiss, G., and Ben-Yaakov, S. H
1
control applied to boost power converters. IEEE
Transactions on Power Electron, pp. 677–683, 1997. DOI: 10.1109/63.602563. 5
Shaw, P. and Veerachary, M. Mixed-sensitivity based robust H
1
controller design for high-
gain boost converter. International Conference on Computer, Communications and Electronics
(Comptelix), pp. 612–617, 2017. DOI: 10.1109/comptelix.2017.8004042. 5
Skogesttad, S. and Postlethwaite, I. Multivariable Feedback Control-Analysis and Design, John
Wiley & Sons, 2000. 4
Suntio, T. Dynamic Profile of Switched Mode Converters: Modeling, Analysis and Control, Wiley
WCH, 2009. DOI: 10.1002/9783527626014. 8
Vidal-Idiarte, E., Martinez-Salamero, L., Valderrama-Blavi, H., Guinjoan, F., and Maixe, J.
Analysis and design of H
1
control of nonminimum phase-switching converters. IEEE Trans-
actions on Circuits and Systems I: Fundamental eory and Applications, pp. 1316–1323, 2003.
DOI: 10.1109/tcsi.2003.816337. 5
Wallis, G. and Tymerski, R. Generalized approach for -synthesis of robust switching
regulators. IEEE Transactions on Aerospace Electronic Systems, pp. 422–431, 2000. DOI:
10.1109/7.845219. 6
Zames, G. Feedback and optimal sensitivity: Model reference transformations, multiplicative
seminorms, and approximate inverses. IEEE Transactions on Automatic Control, pp. 301–320,
1981. DOI: 10.1109/tac.1981.1102603. 5
Zhou, K. and Doyle, J. Essential of Robust Control, Pearson, 1997. 5
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