in the case of physical systems captures the universal feature of energy conservation, yields an unbeatable argument to justify its application.
Bibliography
1 K. H. Ang, G. Chong, and Y. Li. PID control system analysis, design and technology. IEEE Transactions on Control Systems Technology, 13(4): 559–576, 2005.
2 S. Aranovskiy, R. Ortega, and R. Cisneros. A robust PI passivity‐based control of nonlinear systems and its application to temperature regulation. International Journal of Robust and Nonlinear Control, 26(10): 2216–2231, 2016.
3 K. J. Åstrom. Advances in PID control. In XXXIX Jornadas de Automatica, Badajoz, Spain, 2018.
4 K. J. Åstrom and T. Hägglund. PID Controllers: Theory, Design, and Tuning. 2nd edition. Instrument Society of America, 1995.
5 K. J. Åstrom and T. Hägglund. Advanced PID control. ISA‐The Instrumentation, Systems, and Automation Society, Research Triangle Park, NC 27709, 2006.
6 F. Castaños, B. Jayawardhana, R. Ortega, and E. García‐Canseco. Proportional plus integral control for set point regulation of a class of nonlinear RLC circuits. Circuits, Systems and Signal Processing, 28(4): 609–623, 2009.
7 R. Cisneros, M. Pirro, G. Bergna‐Díaz, R. Ortega, G. Ippoliti, and M. Molinas. Global tracking passivity‐based PI control of bilinear systems and its application to the boost and modular multilevel converters. Control Engineering Practice, 43(10): 109–119, 2015.
8 R. Cisneros, R. Gao, R. Ortega, and I. Husain. PI passivity‐based control for maximum power extraction of a wind energy system with guaranteed stability properties. International Journal of Emerging Electric Power Systems, 17(5): 567–573, 2016.
9 C. De Persis and N. Monshizadeh. Bregman storage functions for microgrid control. IEEE Transactions on Automatic Control, 63(1): 53–68, 2017.
10 C. A. Desoer and M. Vidyasagar. Feedback Systems: Input‐Output Properties. Academic Press, New York, 2009.
11 M. Hernández-Gómez, R. Ortega, F. Lamnabhi‐Lagarrigue, and G. Escobar. Adaptive PI stabilization of switched power converters. IEEE Transactions on Control Systems Technology, 18(3): 688–698, 2010.
12 H. Khalil. Nonlinear Systems. Prentice‐Hall, Upper Saddle River, NJ, 2002.
13 C. Meza, D. Biel, D. Jeltsema, and J. M. A. Scherpen. Lyapunov‐based control scheme for single‐phase grid‐connected PV central inverters. IEEE Transactions on Control Systems Technology, 20(2): 520–529, 2012.
14 J. G. Romero, A. Donaire, R. Ortega, and P. Borja. Global stabilisation of underactuated mechanical systems via PID passivity‐based control. Automatica, 96(10): 178–185, 2018.
15 T. Samad. A survey on industry impact and challenges thereof. IEEE Control Systems Magazine, 37(1): 17–18, 2017.
16 S. R. Sanders and G. C. Verghese. Lyapunov‐based control for switched power converters. IEEE Transactions on Power Electronics, 7(1): 17–24, 1992.
17 R. Talj, D. Hissel, R. Ortega, M. Becherif, and M. Hilairet. Experimental validation of a PEM fuel cell reduced order model and a moto‐compressor higher order sliding mode control. IEEE Transactions on Industrial Electronics, 57(6): 1906–1913, 2010.
18 A. J. van der Schaft. ‐Gain and Passivity Techniques in Nonlinear Control. Springer‐Verlag, Berlin, 3rd edition, 2016.
Acknowledgments
This book is the result of extensive research collaborations during the last 10 years. Some of the results of these collaborations have been reported in the papers (Bergna‐Díaz et al., 2019; Borja et al., 2016, 2020; Castaños et al., 2009; Chang et al., 2000; Cisneros et al., 2013, 2015, 2016, 2020; Donaire and Junco, 2009; Donaire et al., 2016a, 2017; Escobar et al., 1999; Ferguson et al., 2017a; Ferguson et al., 2017b, 2018, 2020; Gandhi et al., 2016; Hernández‐Gómez et al., 2012; Jaafar et al., 2013; Jayawardhana et al., 2007; Jung et al., 2015; Monshizadeh et al., 2019; Ortega et al., 2020; Pérez et al., 2004; Talj et al., 2009, 2010, 2011; Wu et al., 2020; Zhang et al., 2015, 2018; Zonetti and Ortega, 2015; Zonetti et al., 2015). We are grateful to our co‐authors, S. Aranovskiy, A. Astolfi, A. Allawieh, D. Bazylev, M. Becherif, A. Benchaib, G. Bergna‐Díaz, A. Bobtsov, F. Castaños, G. Chang, R. Cisneros, M. Crespo, G. Duan, D. Efimov, G. Escobar, G. Espinosa‐Pérez, J. Espinoza, J. Ferguson, P. Gandhi, R. Gao, E. García‐Canseco, E. Godoy, M. Hernández‐Gómez, M. Hilairet, D. Hissel, I. Husain, A. Jaafar, B. Jayawardhana, D. Jeltsema, S. Junco, F. Kazi, F. Lamnabhi‐Lagarrigue, Z. Liu, F. Mancilla‐David, R. Mehra, E. Mendes, R. H. Middleton, N. Monshizadeh, P. Monshizadeh, M. Pérez, M. Pirro, A. Pyrkin, S. Sánchez, S. Satpute, J. Scherpen, B. Siciliano, M. Singh, H. Su, R. Talj, E. Tedeschi, A. van der Schaft, D. Wu, M. Zhang, D. Zonetti, for several stimulating discussions and for their hospitality while visiting their institutions.
Some of the topics of this book have been taught by the first author at the EECI Graduate School on Control in Istanbul, Turkey, in 2016, in the Winter Course of the Mexican Association of Automatic Control in 2016, in the Summer School of the Institute of Control Problems of the Academy of Sciences in Moscow, Russia, in 2017 and in the University of Chile, Santiago, Chile, in 2018. A workshop on this topic was organized in Zhejiang University, Hangzhou, China, in 2017.
A large part of this work would not have been possible without the financial support of several institutions. The first author would like to thank ITMO University in Saint Petersburg, Russia, for having sponsored part of this work and the Instituto Tecnológico Autónomo de México (ITAM) for opening its doors for the continuation of his scientific career in Mexico. The second author wishes to thank the Ecole Doctorale‐Sciences et Technologies de l'Information des Télécommunications et des Systèmes (ED‐STITS) for having funded his doctoral studies and the ITAM for supporting his research activities. The third author wants to thank the National Council of Science and Technology (CONACyT), the Mexican Secretary of Public Education (SEP), and the University of Groningen for all the support received during his academic career. The fourth author wants to thank the University of Newcastle for supporting his research and academic activities.
Mexico/Groningen/Newcastle
Romeo Ortega
José Guadalupe Romero
Pablo Borja
Alejandro Donaire
Acronyms
ACalternate currentAMMassumed modes methodCbIcontrol by interconnectionCLcontrolled LagrangiansDACdigital‐to‐analog converterDCdirect currentDOFdegree(s)‐of‐freedomELEuler–LagrangeFOCfield‐oriented controlGASglobally asymptotically stableGESglobal exponential stabilityHVDChigh‐voltage direct currentIAintegral actionIDAinterconnection and damping assignmentIISSintegral input‐to‐state stabilityISSinput‐to‐state stabilityLMIlinear matrix inequalityLTIlinear time‐invariantMDICSmatched disturbance integral controlled systemPBCpassivity‐based controlPDEpartial differential equationPEMproton exchange membranepHport‐HamiltonianPDproportional‐derivativePIproportional‐integralPIDproportional‐integral‐derivativePMSGpermanent magnet synchronous generatorPMSMpermanent magnet synchronous motorPWMpulse‐width modulationSPRstrictly positive realVSRvoltage source rectifiersVTOLvertical take‐off and landing
Notation
