• Nenhum resultado encontrado

CONTROLADORES CHAVEADOS

7.1 Perspectivas Futuras

• Técnicas de controle robusto H2 e H∞ por meio de BMIs encontradas com o método

path-following utilizando funções de Lyapunov quadráticas por partes;

• Técnicas de controle discreto chaveado utilizando como base os resultados apresentados nos Capítulos 5 e 6;

• Técnicas de filtragem robusta para sistemas lineares incertos utilizando os resultados do Capítulo 5.

113

REFERÊNCIAS

APKARIAN, P.; TUAN, H. D.; BERNUSSOU, J. Continuous-time analysis, eigenstructure assignment, and H2synthesis with enhanced linear matrix inequalities (LMI) characterizations. IEEE Transactions on Automatic Control, Notre Dame, v. 46, n. 12, p. 1941–1946, 2001.

ASSUNÇÃO, E.; MARCHESI, H. F.; TEIXEIRA, M. C. M.; PERES, P. L. D. Global optimization for the H-norm model reduction problem. International Journal of Systems

Science, Hants, v. 38, n. 2, p. 125–138, 2007a.

ASSUNÇÃO, E.; TEIXEIRA, M. C. M.; FARIA, F. A.; SILVA, N. A. P. D.; CARDIM, R. Robust state-derivative feedback LMI-based designs for multivariable linear systems.

International Journal of Control, Hants, v. 80, n. 8, p. 1260–1270, 2007b.

BOYD, S.; GHAOUI, L. E.; FERON, E.; BALAKRISHNAN, V. Linear matrix inequalities in

systems and control theory. 2. ed. Philadelphia: SIAM Studies in Applied Mathematics, 1994.

BRANICKY, M. S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. Automatic Control, IEEE Transactions on, Piscataway, v. 43, n. 4, p. 475–482, 1998.

BUZACHERO, L. F. S.; ASSUNÇÃO, E.; TEIXEIRA, M. C. M.; FARIA, F. A.; SILVA, E. R. P. da. Otimização de controladores robustos de sistemas dinâmicos sujeitos a falhas estruturais. In: CONGRESSO BRASILEIRO DE AUTOMÁTICA, 18., 2010, Bonito-MS.

Anais... Bonito-MS, 2010. p. 4068–4075.

BUZACHERO, L. F. S.; ASSUNÇÃO, E.; TEIXEIRA, M. C. M.; SILVA, E. R. P. da. New techniques for optimizing the norm of robust controllers of polytopic uncertain linear systems. In: Frontiers in advanced control systems. Rijeka: InTech, 2012. p. 75–100.

CARDIM, R.; TEIXEIRA, M.; FARIA, F.; ASSUNÇÃO, E. LMI-based digital redesign of linear time-invariant systems with state-derivative feedback. In: CONTROL APPLICATIONS, (CCA) INTELLIGENT CONTROL, (ISIC), 2009 IEEE. Saint Petersburg. Conference of

the... Saint Petersburg: IEEE, 2009, p. 745–749. Acesso em: 01 abr. 2014. Disponível em:

<http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5281065>.

CHANG, W.; PARK, J. B.; LEE, H. J.; JOO, Y. H. LMI approach to digital redesign of linear time-invariant systems. IEE Proceedings-Control Theory and Applications, Stevenage, v. 149, n. 4, p. 297–302, July 2002.

CHEN, Y.-J.; OHTAKE, H.; TANAKA, K.; WANG, W.-J.; WANG, H. Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise-lyapunov-function-based switching fuzzy controller. Fuzzy Systems, IEEE Transactions on, Piscataway, v. 20, n. 6, p. 1166–1173, 2012.

CHILALI, M.; GAHINET, P. Hdesign with pole placement constraints: An LMI approach.

IEEE Transactions on Automatic Control, New York, v. 41, n. 3, p. 358–367, 1996.

DAHLEH, M.; DAHLEH, M. A. On slowly time-varying systems. Automatica, Tarrytown, v. 27, p. 201–205, 1991.

DEAECTO, G. S. Projeto de controladores dinâmicos com comutação : aplicação em sistemas mecânicos e conversores de potência CC-CC. Tese (Doutorado) — Universidade Estadual de Campinas, Campinas, 2010.

DEAECTO, G. S.; GEROMEL, J. C. Controle de sistemas lineares com comu- tação. Sba: Controle & Automação Sociedade Brasileira de Automatica, Campi- nas, v. 19, n. 4, p. 431 – 443, 2008. Acesso em: 01 abr. 2014. Disponível em: <http://www.scielo.br/pdf/ca/v19n4/a06v19n4.pdf>.

DEAECTO, G. S.; GEROMEL, J. C.; DAAFOUZ, J. Switched state-feedback control for continuous time-varying polytopic systems. International Journal of Control, Abingdon, v. 84, n. 9, p. 1500–1508, 2011.

DECARLO, R. A.; BRANICKY, M. S.; PETTERSSON, S.; LENNARTSON, B. Perspectives and results on the stability and stabilizability of hybrid systems. In: Proceedings of the IEEE, New York. [s.n.]. v. 88, n. 7, p. 1069–1082, 2000. Acesso em: 01 abr. 2014. Disponível em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=871309>.

DELMOTTE, F.; GUERRA, T.; KSANTINI, M. Continuous takagi-sugeno’s models: reduction of the number of LMI conditions in various fuzzy control design technics. Fuzzy

Systems, IEEE Transactions on, Piscataway, v. 15, n. 3, p. 426–438, June 2007.

ESTEVES, T. T. Análise da estabilidade de sistemas fuzzy Takagi-Sugeno utilizando as

desigualdades de Lyapunov-Metzler. 2011. 101 f. Dissertação (Mestrado em Automação) —

Faculdade de Engenharia, Universidade Estadual Paulista, 2011.

GAHINET, P.; NEMIROVSKI, A.; LAUB, A. J.; CHILALI, M. LMI control toolbox - For use

with MATLAB. [S.l.], 1995.

GARG, K. Theory of differentiation: a unified theory of differentiation via new derivate theorems and new derivatives. New York: John Wiley & Sons, 1998. 525 p.

GEROMEL, J.; KOROGUI, R. Analysis and synthesis of robust control systems using linear parameter dependent lyapunov functions. IEEE Transactions on Automatic Control, New York, v. 51, n. 12, p. 1984–1989, 2006.

GEROMEL, J.; KOROGUI, R. H2robust filter design with performance certificate via convex

programming. Automatica, Tarrytown, v. 44, n. 4, p. 937–948, 2008.

GEROMEL, J.; OLIVEIRA, M. D. H2and H∞robust filtering for convex bounded uncertain

systems. IEEE Transactions on Automatic Control, New York, v. 46, n. 1, p. 100–107, 2001. GEROMEL, J. C.; COLANERI, P. Stability and stabilization of continuous-time switched linear systems. SIAM Journal Control Optimization, Philadelphia, v. 45, p. 1915–1930, 2006.

REFERÊNCIAS 115 GEROMEL, J. C.; DEAECTO, G. S. Switched state feedback control for continuous-time uncertain systems. Automatica, Tarrytown, v. 45, n. 2, p. 593–597, 2009.

HASSIBI, A.; HOW, J.; BOYD, S. A path-following method for solving BMI problems in control. In: PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE. San Diego.

Proceedings of the... San Diego: IEEE, 1999. v. 2, p. 1385–1389. Acesso em: 01 abr. 2014.

Disponível em: <http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=783595>. HESPANHA, J. P. Uniform stability of switched linear systems: extensions of lasalle’s invariance principle. IEEE Transactions on Automatic Control, New York, v. 49, p. 470–482, 2004. Acesso em: 01 abr. 2014. Disponível em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=01284711>.

JI, Z.; WANG, L.; XIE, G. Quadratic stabilization of switched systems. International Journal

of Systems Science, Abingdon, v. 36, n. 7, p. 395–404, 2005.

LASDON, L. S. Optimization theory for large systems. Macmillan: Courier Dover Publications, 1970. 523 p.

LEITE, V. J. S.; MONTAGNER, V. F.; OLIVEIRA, P. J.; OLIVEIRA, R. C. L. F.; PERES, P. L. D. Estabilidade robusta de sistemas lineares através de desigualdades matriciais lineares.

Revista Controle & Automação, Campinas, v. 15, n. 1, p. 24–40, 2004.

LIBERZON, D. Switching in systems and control. Boston: Birkhäuser, 2003. 233 p. (Systems & control).

LIN, H.; ANTSAKLIS, P. Stability and stabilizability of switched linear systems: A short survey of recent results. In: PROCEEDINGS OF THE INTELLIGENT CONTROL, 2005, PROCEEDINGS OF THE 2005 IEEE INTERNATIONAL SYMPOSIUM ON, MEDITERREAN CONFERENCE ON CONTROL AND AUTOMATION, 2005. Limassol.

Proceedings of the... Limassol: IEEE, 2005. p. 24–29. Acesso em: 01 abr. 2014. Disponível

em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=01466986>.

LUENBERGER, D. Introduction to dynamic systems: theory, models, and applications. New York: John Wiley & Sons, 1979. 446 p.

MA, M.; CHEN, H. Constrained H2 control of active suspensions using lmi optimiza-

tion. In: CONTROL CONFERENCE, CCC, CHINESE, 2006. Harbin Conference of

the... Harbin: IEEE, 2006. p. 702 –707. Acesso em: 01 abr. 2014. Disponível em:

<http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4060613>.

MONTAGNER, V.; OLIVEIRA, R. C. L. F.; PERES, P. L. D. Convergent LMI relaxations for quadratic stabilizability and Hcontrol of takagi-sugeno fuzzy systems. Fuzzy Systems, IEEE

Transactions on, Piscataway, v. 17, n. 4, p. 863–873, Aug 2009.

MOZELLI, L.; PALHARES, R.; SOUZA, F.; MENDES, E. Reducing conservativeness in recent stability conditions of {TS} fuzzy systems. Automatica, Tarrytown, v. 45, n. 6, p. 1580 – 1583, 2009.

OLIVEIRA, M. C.; BERNUSSOU, J.; GEROMEL, J. C. A new discrete-time robust stability condition. Systems Control Letters, Amsterdam, v. 37, n. 4, p. 261–265, 1999.

OLIVEIRA, M. C. de. Novos testes de estabilidade para sistemas lineares. Revista Controle &

Automação, Campinas, v. 15, n. 1, p. 17–23, 2004.

OLIVEIRA, M. C. de; GEROMEL, J. C.; HSU, L. Lmi characterization of structural and robust stability: the discrete-time case. Linear Algebra and its Applications, Philadelphia, v. 296, n. 1-3, p. 27 – 38, 1999.

OLIVEIRA, M. C. de; SKELTON, R. E. Stability tests for constrained li- near systems. In: MOHEIMANI, S. O. R. (ED.). Perspectives in robust con-

trol. London: Springer Berlin, 2001. p. 241–257. Lectures notes in control

and information sciences, 268. Acesso em: 01 abr. 2014. Disponível em: <http://books.google.com.br/books?id=mz2r1XJqtPAC&printsec=frontcover&hl=pt- PT&source=gbs_ge_summary_r&cad=0♯v=onepage&q&f=false>.

PIPELEERS, G.; DEMEULENAERE, B.; SWEVERS, J.; VANDENBERGHE, L. Extended LMI characterizations for stability and performance of linear systems. Systems & Control

Letters, Amsterdam, v. 58, n. 7, p. 510 – 518, 2009.

QUANSER. 3-DOF Helicopter Reference Manual. [S.l.], 2002.

QUANSER. Active Mass Damper - One Floor (AMD-1), User Manual. [S.l.], 2012a.

QUANSER. Specialty Plant: Shake Table II - Position Control and Earthquake Analysis, User

Manual. [S.l.], 2012b.

SHORTEN, R.; WIRTH, F.; MASON, O.; WULFF, K.; KING, C. Stability criteria for switched and hybrid systems. SIAM Review, Philadelphia, v. 49, p. 545–592, 2007.

SILVA, E. R. da; ASSUNÇÃO, E.; TEIXEIRA, M. C.; FARIA, F. A.; BUZACHERO, L. F. Parameter-dependent Lyapunov functions for state-derivative feedback control in polytopic linear systems. International Journal of Control, Abingdon, v. 84, n. 8, p. 1377–1386, 2011. SILVA, E. R. da; ASSUNÇÃO, E.; TEIXEIRA, M. C.; FARIA, F. A.; BUZACHERO, L. F. Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback. Mathematical Problems in Engineering, New York, v. 2012, p. 1–21, 2012.

SKAFIDAS, E.; EVANS, R.; SAVKIN, A.; PETERSEN, I. Stability results for switched controller systems. Automatica, Tarrytown, v. 35, n. 4, p. 553–564, 1999.

SKELTON, R. E.; IWASAKI, T. E.; GRIGORIADIS, K. A unified algebric approach to control

design. Bristol: Taylor & Francis, 1997. 304 p.

SOLO, V. On the stability of slowly time-varying linear systems. Mathematics of Control,

Signals, and Systems (MCSS), London, v. 7, p. 331–350, 1994.

SOUZA, W. A.; TEIXEIRA, M. C. M.; SANTIM, M. P. A.; CARDIM, R.; ASSUNÇÃO, E. On switched control design of linear time-invariant systems with polytopic uncertainties.

Mathematical Problems in Engineering, New York, v. 2013, p. 10 p., 2013.

REFERÊNCIAS 117 E. On switched regulator design of uncertain nonlinear systems using takagi-sugeno fuzzy models. IEEE Transactions on Fuzzy Systems, 2014. Acesso em: 01 abr. 2014. In press. Disponível em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=0672291>.

SOUZA, W. A. de. Projeto de controladores robustos chaveados para sistemas não lineares

descritos por modelos Fuzzy Takagi-Sugeno. 2013. 92f. Tese (Doutorado em Automação) —

Faculdade de Engenharia, Universidade Estadual Paulista, Ilha Solteira, 2013.

TAKAGI, T.; SUGENO, M. Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, New York, v. 15, n. 1, p. 116–132, 1985.

TANAKA, K.; HORI, T.; WANG, H. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems, Piscataway, v. 11, n. 4, p. 582–589, 2003.

TANAKA, K.; IKEDA, T.; WANG, H. Fuzzy regulators and fuzzy observers: relaxed stability conditions and lmi-based designs. IEEE Transactions on Fuzzy Systems, Piscataway, v. 6, n. 2, p. 250–265, 1998.

TANAKA, K.; IWASAKI, M.; WANG, H. Stability and smoothness conditions for switching fuzzy systems. In: PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE, 2000. Chicago. Proceedings of the... Chicago: IEEE, 2000a. v. 4, p. 2474–2478. Acesso em: 01 abr. 2014. Disponível em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=878627>. TANAKA, K.; IWASAKI, M.; WANG, H. Stable switching fuzzy control and its application to a hovercraft type vehicle. In: FUZZY SYSTEMS, 2000, FUZZ IEEE 2000. ON

CONFERENCE THE IEEE INTERNATIONAL, 19. San Antonio, 2000. Conference on... San Antonio: IEEE, 2000b. v. 2, p. 804–809.

TEIXEIRA; ASSUNÇÃO, E.; AVELLAR, R. G. On relaxed LMI-based designs for fuzzy regulators and fuzzy observers. IEEE Transactions on Fuzzy Systems, Piscataway, v. 11, n. 5, p. 613–623, 2003.

WANG, J.; LI, X.; GE, Y.; JIA, G. An LMI optimization approach to lyapunov stability analysis for linear time-invariant systems. In: CONTROL AND DECI- SION CONFERENCE, 2008. CCDC 2008, CHINESE. Yantai. Conference on... Yantai: IEEE, 2008. p. 3044–3048. Acesso em: 01 abr. 2014. Disponível em: <http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4597885>.

WICKS, M.; PELETIES, P.; DECARLO, R. Construction of piecewise lyapunov functions for stabilizing switched systems. In: ON CONFERNCE DECISION AND CONTROL, PROCEEDINGS OF THE IEEE CONFERENCE, 33, 1994. Lake Buena Vista. Proceedings of

the... Lake Buena Vista: IEEE, 1994. v. 4, p. 3492 –3497,.

YANG, G. hong; DONG, J. Switching fuzzy dynamic output feedback H control for nonlinear systems. IEEE Transaction on Systems, Man, and Cybernetics, Part B: Cybernetics, New York, v. 40, n. 2, p. 505–516, 2010. Acesso em: 01 abr. 2014. Disponível em:

119

Documentos relacionados