Output global oscillatory synchronisation of heterogeneous systems

References

• Ahmed, H., Amamra, S.-A., & Bierhoff, M. H. (2019). Frequency-locked loop-based estimation of single-phase grid voltage parameters. IEEE Transactions on Industrial Electronics, 66(11), 8856–8859. doi: 10.1109/TIE.2018.2873527
   Web of Science ®Google Scholar
• Ahmed, H., Bierhoff, M., & Benbouzid, M (2019). Multiple nonlinear harmonic oscillator-based frequency estimation for distorted grid voltage. In IEEE transactions on instrumentation and measurement (pp. 1–1). doi:10.1109/TIM.2019.2931065
   Google Scholar
• Ahmed, H., Ushirobira, R., Efimov, D., Fridman, L., & Wang, Y. (2017). Oscillatory global output synchronization of nonidentical nonlinear systems. IFAC-PapersOnLine, 50(1), 2708–2713. doi: 10.1016/j.ifacol.2017.08.557
   Google Scholar
• Ahmed, H., Ushirobira, R., & Efimov, D. (2019). Robust global synchronization of brockett oscillators. IEEE Transactions on Control of Network Systems, 6(1), 289–298. doi: 10.1109/TCNS.2018.2813927
   Web of Science ®Google Scholar
• Ahmed, H., Ushirobira, R., Efimov, D., & Perruquetti, W. (2016). Robust synchronization for multistable systems. IEEE Transactions on Automatic Control, 61(6), 1625–1630. doi: 10.1109/TAC.2015.2476156
   Web of Science ®Google Scholar
• Angeli, D., & Efimov, D. (2015). Characterizations of input-to-state stability for systems with multiple invariant sets. IEEE Transactions on Automatic Control, 60(12), 3242–3256. doi: 10.1109/TAC.2015.2418676
   Web of Science ®Google Scholar
• Angeli, D., & Sontag, E. (1999). Forward completeness, unboundedness observability, and their Lyapunov characterizations. Systems & Control Letters, 38(4–5), 209–217. doi: 10.1016/S0167-6911(99)00055-9
   Web of Science ®Google Scholar
• Bidram, A., Lewis, F. L., & Davoudi, A. (2014). Synchronization of nonlinear heterogeneous cooperative systems using input–output feedback linearization. Automatica, 50(10), 2578–2585. doi: 10.1016/j.automatica.2014.08.016
   Web of Science ®Google Scholar
• Blekhman, I. I. (1988). Synchronization in science and technology. New York, NY: American Society of Mechanical Engineers.
   Google Scholar
• Brockett, R. (2013). Synchronization without periodicity. In K. Huper & J. Trumpf (Eds.), Mathematical systems theory, a volume in honor of U. Helmke (pp. 65–74). Scotts Valley, CA: CreateSpace.
   Google Scholar
• Dashkovskiy, S., Efimov, D., & Sontag, E. (2011). Input to state stability and allied system properties. Automation and Remote Control, 72(8), 1579–1614. doi: 10.1134/S0005117911080017
   Web of Science ®Google Scholar
• Defoort, M., Nollet, F., Floquet, T., & Perruquetti, W. (2009). A third-order sliding-mode controller for a stepper motor. IEEE Transactions on Industrial Electronics, 56(9), 3337–3346. doi: 10.1109/TIE.2009.2026378
   Web of Science ®Google Scholar
• De Persis, C., & Jayawardhana, B. (2014). On the internal model principle in the coordination of nonlinear systems. IEEE Transactions on Control of Network Systems, 1(3), 272–282. doi: 10.1109/TCNS.2014.2338554
   Google Scholar
• Efimov, D. (2015). Phase resetting for a network of oscillators via phase response curve approach. Biological Cybernetics, 109(1), 95–108. doi: 10.1007/s00422-014-0629-z
   PubMed Web of Science ®Google Scholar
• Efimov, D., Schiffer, J., & Ortega, R. (2016). Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids. International Journal of Control, 89(5), 909–918. doi: 10.1080/00207179.2015.1104555
   Web of Science ®Google Scholar
• Farrell, J. A., Polycarpou, M., Sharma, M., & Dong, W. (2009). Command filtered backstepping. IEEE Transactions on Automatic Control, 54(6), 1391–1395. doi: 10.1109/TAC.2009.2015562
   Web of Science ®Google Scholar
• Filippov, A. F. (2013). Differential equations with discontinuous righthand sides: control systems (Vol. 18). Dordrecht, Netherlands: Springer Science & Business Media.
   Google Scholar
• Forni, P., & Angeli, D (2015). Input-to-state stability for cascade systems with decomposable invariant sets. In Proc. IEEE 54th annual conference on decision and control (CDC) (pp. 3742–3747).
   Google Scholar
• Fradkov, A. L., & Markov, A. Y. (1997). Adaptive synchronization of chaotic systems based on speed gradient method and passification. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 44(10), 905–912. doi: 10.1109/81.633879
   Google Scholar
• Fridman, L., Shtessel, Y., Edwards, C., & Yan, X.-G. (2008). Higher-order sliding-mode observer for state estimation and input reconstruction in nonlinear systems. International Journal of Robust and Nonlinear Control, 18(4–5), 399–412. doi: 10.1002/rnc.1198
   Web of Science ®Google Scholar
• Gadelovits, S. Y., Insepov, D., Kadirkamanathan, V., Zhong, Q., & Kuperman, A. (2019). Uncertainty and disturbance estimator based controller equipped with a multiple-time-delayed filter to improve the voltage quality of inverters. IEEE Transactions on Industrial Electronics, 66(11), 8947–8957. doi: 10.1109/TIE.2019.2902825
   Web of Science ®Google Scholar
• Gazi, V., & Passino, K. M. (2011). Swarm stability and optimization. Berlin: Springer Science & Business Media.
   Google Scholar
• Isidori, A., Marconi, L., & Casadei, G. (2014). Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory. IEEE Transactions on Automatic Control, 59(10), 2680–2691. doi: 10.1109/TAC.2014.2326213
   Web of Science ®Google Scholar
• Khalil, H. K. (2014). Nonlinear control. Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Krstic, M., Kanellakopoulos, I., & Kokotovic, P. (1995). Nonlinear and adaptive control design. Hoboken, NJ: Wiley.
   Google Scholar
• Levant, A. (2003). Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control, 76(9–10), 924–941. doi: 10.1080/0020717031000099029
   Web of Science ®Google Scholar
• Liu, H., De Persis, C., & Cao, M. (2015). Robust decentralized output regulation with single or multiple reference signals for uncertain heterogeneous systems. International Journal of Robust and Nonlinear Control, 25(9), 1399–1422. doi: 10.1002/rnc.3153
   Web of Science ®Google Scholar
• Luenberger, D. G. (1964). Observing the state of a linear system. IEEE Transactions on Military Electronics, 8(2), 74–80. doi: 10.1109/TME.1964.4323124
   Google Scholar
• Marino, R., & Tomei, P. (1996). Nonlinear control design: Geometric, adaptive and robust. Upper Saddle River, NJ: Prentice Hall International (UK) Ltd.
   Google Scholar
• Martínez-Guerra, R., García, J. J. M., & Prieto, S. M. D. (2016). Secure communications via synchronization of liouvillian chaotic systems. Journal of the Franklin Institute, 353(17), 4384–4399. doi: 10.1016/j.jfranklin.2016.08.011
   Web of Science ®Google Scholar
• Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007). Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 95(1), 215–233. doi: 10.1109/JPROC.2006.887293
   Web of Science ®Google Scholar
• Osipov, G. V., Kurths, J., & Zhou, C. (2007). Synchronization in oscillatory networks. Berlin: Springer Science & Business Media.
   Google Scholar
• Panteley, E., & Loría, A (2017). Synchronisation and emergent behaviour in networks of heterogeneous systems: A control theory perspective. In Nonlinear systems (pp. 81–102). London: Springer.
   Google Scholar
• Pay, M. L., & Ahmed, H. (2019). Modeling and tuning of circular limit cycle oscillator FLL with pre-loop filter. IEEE Transactions on Industrial Electronics, 66(12), 9632–9635. doi: 10.1109/TIE.2019.2892677
   Web of Science ®Google Scholar
• Pemmaraju, S., & Skiena, S. (2003). Cycles, stars, and wheels. In Computational discrete mathematics combinatiorics and graph theory in mathematica, section 6.4 (pp. 284–249). Cambridge: Cambridge University Press.
   Google Scholar
• Pikovsky, A., Rosenblum, M., & Kurths, J. (2003). Synchronization: A universal concept in nonlinear sciences (Vol. 12). Cambridge: Cambridge University Press.
   Google Scholar
• Ren, W., & Beard, R. W. (2008). Distributed consensus in multi-vehicle cooperative control. London: Springer.
   Google Scholar
• Ríos, H., Efimov, D., & Perruquetti, W. (2018). An adaptive sliding-mode observer for a class of uncertain nonlinear systems. International Journal of Adaptive Control and Signal Processing, 32(3), 511–527. doi: 10.1002/acs.2857
   Web of Science ®Google Scholar
• Rodriguez, A., De Leon, J., & Fridman, L. (2009). Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer. Chaos, Solitons & Fractals, 42(5), 3219–3233. doi: 10.1016/j.chaos.2009.04.055
   Web of Science ®Google Scholar
• Ruderman, M., Fridman, L., & Pasolli, P. (2019). Virtual sensing of load forces in hydraulic actuators using second-and higher-order sliding modes. Control Engineering Practice, 92, 104151. doi: 10.1016/j.conengprac.2019.104151
   Web of Science ®Google Scholar
• Scardovi, L., & Sepulchre, R. (2009). Synchronization in networks of identical linear systems. Automatica, 45(11), 2557–2562. doi: 10.1016/j.automatica.2009.07.006
   Web of Science ®Google Scholar
• Schiffer, J., Seel, T., Raisch, J., & Sezi, T (2014). A consensus-based distributed voltage control for reactive power sharing in microgrids. In Control conference (ECC), 2014 European (pp. 1299–1305). IEEE.
   Google Scholar
• Sinha, M., Dörfler, F., Johnson, B. B., & Dhople, S. V. (2017). Uncovering droop control laws embedded within the nonlinear dynamics of van der pol oscillators. IEEE Transactions on Control of Network Systems, 4(2), 347–358. doi: 10.1109/TCNS.2015.2503558
   Web of Science ®Google Scholar
• Sontag, E. D. (1989). Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 34(4), 435–443. doi: 10.1109/9.28018
   Web of Science ®Google Scholar
• Strogatz, S. H. (2003). Sync: how order emerges from chaos in the universe, nature, and daily life. New York, NY: Hyperion.
   Google Scholar
• Wang, Y., Nunez, F., & Doyle, F. J. (2012). Energy-efficient pulse-coupled synchronization strategy design for wireless sensor networks through reduced idle listening. IEEE Transactions on Signal Processing, 60(10), 5293–5306. doi: 10.1109/TSP.2012.2205685
   Web of Science ®Google Scholar
• Wieland, P., Sepulchre, R., & Allgöwer, F. (2011). An internal model principle is necessary and sufficient for linear output synchronization. Automatica, 47(5), 1068–1074. doi: 10.1016/j.automatica.2011.01.081
   Web of Science ®Google Scholar