Design of robust decentralised controllers for MIMO plants with delays through network structure exploitation

References

• Alavian, A., & Rotkowitz, M. C. (2013). Q-parametrization and an SDP for H-infinity-optimal decentralized control. IFAC Proceedings Volumes, 46(27), 301–308. doi: 10.3182/20130925-2-DE-4044.00077
   Google Scholar
• Alavian, A., & Rotkowitz, M. C. (2015). On the pole selection for h-infinity optimal decentralized control. In 2015 American Control Conference (ACC) (pp. 5471–5476).
   Google Scholar
• Apkarian, P., & Noll, D. (2006, January). Non-smooth H-infinity synthesis. IEEE Transactions on Automatic Control, 51(1), 71–86. doi: 10.1109/TAC.2005.860290
   Web of Science ®Google Scholar
• Apkarian, P., & Noll, D. (2017, July). Structured H∞-control of infinite-dimensional systems. International Journal of Robust and Nonlinear Control, 28(9), 3212–3238. doi:10.1002/rnc.4073
   Google Scholar
• Borgioli, F., & Michiels, W. (2018). Computing distance to instability for delay systems with uncertainities in the system matrices and in the delay terms. In 17th Annual European Control Conference (ECC), Limassol, Cyprus.
   Google Scholar
• Boyd, S., Balakrishnan, V., & Kabamba, P. (1989, September 1). A bisection method for computing the h-infinity norm of a transfer matrix and related problems. Mathematics of Control, Signals and Systems, 2(3), 207–219. doi: 10.1007/BF02551385
   Google Scholar
• Bruinsma, N. A., & Steinbuch, M. (1990). A fast algorithm to compute the h-infinity-norm of a transfer function matrix. Systems & Control Letters, 14(4), 287–293. doi: 10.1016/0167-6911(90)90049-Z
   Web of Science ®Google Scholar
• Burke, J., Henrion, D., Lewis, A., & Overton, M. (2006). HIFOO – a matlab package for fixed-order controller design and H-infinity optimization. IFAC Proceedings Volumes, 39(9), 339–344 (5th IFAC Symposium on Robust Control Design). doi: 10.3182/20060705-3-FR-2907.00059
   Google Scholar
• D'Andrea, R., & Dullerud, G. E. (2003). Distributed control design for spatially interconnected systems. IEEE Transactions on Automatic Control, 48(9), 1478–1495. doi: 10.1109/TAC.2003.816954
   Web of Science ®Google Scholar
• Dileep, D., & Michiels, W. (2018). tds_hopt-nse, a software tool for structured controller design for DDAEs with network structure exploitation. Retrieved from http://twr.cs.kuleuven.be/research/software/delay-control/tds_hopt-nse.zip
   Google Scholar
• Dileep, D., Michiels, W., Hetel, L., & Richard, J. P. (2018, June). Design of robust structurally constrained controllers for MIMO plants with time-delays. In 17th annual European Control Conference (ECC), Limassol, Cyprus.
   Google Scholar
• Fridman, E. (2014). Introduction to time-delay systems: Analysis and control. Basel: Birkhäuser.
   Google Scholar
• Gahinet, P., & Apkarian, P. (1994). A linear matrix inequality approach to H∞ control. International Journal of Robust and Nonlinear Control, 4(4), 421–448. doi: 10.1002/rnc.4590040403
   Web of Science ®Google Scholar
• Gumussoy, S., & Michiels, W. (2011). Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations. SIAM Journal on Control and Optimization, 49(5), 2212–2238. doi: 10.1137/100816444
   Web of Science ®Google Scholar
• Hale, J. K., & VerduynLunel, S. M. (2002). Strong stabilization of neutral functional differential equations. IMA Journal of Mathematical Control and Information, 19, 5–23. doi: 10.1093/imamci/19.1_and_2.5
   Google Scholar
• Lunze, J. (1992). Feedback control of large scale systems. New York: Prentice-Hall.
   Google Scholar
• Massioni, P., & Verhaegen, M. (2009). Distributed control for identical dynamically coupled systems: A decomposition approach. IEEE Transactions on Automatic Control, 54(1), 124–135. doi: 10.1109/TAC.2008.2009574
   Web of Science ®Google Scholar
• Massioni, P., & Verhaegen, M. (2010). A full block s-procedure application to distributed control. In American Control Conference (ACC), 2010 (pp. S2338–2343).
   Google Scholar
• McMillan, G. K. (2012). Industrial applications of pid control. In R. Vilanova A. Visioli (Ed.), PID control in the third millennium: Lessons learned and new approaches (pp. S415–461). London: Springer.
   Google Scholar
• Meyer, C. (2000). Matrix analysis and applied linear algebra. Philadelphia: Society for Industrial and Applied Mathematics.
   Google Scholar
• Michiels, W. (2011, November). Spectrum-based stability analysis and stabilisation of systems described by delay differential algebraic equations. IET Control Theory Applications, 5(16), 1829–1842. doi: 10.1049/iet-cta.2010.0752
   Web of Science ®Google Scholar
• Michiels, W., Hilhorst, G., Pipeleers, G., Vyhlídal, T., & Swevers, J. (2017, December). Reduced modelling and fixed-order control of delay systems applied to a heat exchanger. IET Control Theory & Applications, 11, 3341–3352 (11). doi: 10.1049/iet-cta.2017.0453
   Web of Science ®Google Scholar
• Michiels, W., & Nijmeijer, H. (2009). Synchronization of delay-coupled nonlinear oscillators: An approach based on the stability analysis of synchronized equilibria. Chaos: An Interdisciplinary Journal of Nonlinear Science, 19(3), 033110. doi: 10.1063/1.3187792
   PubMed Web of Science ®Google Scholar
• Michiels, W., Vyhlídal, T., Ziték, P., Nijmeijer, H., & Henrion, D. (2009). Strong stability of neutral equations with an arbitrary delay dependency structure. SIAM Journal on Control and Optimization, 48(2), 763–786. doi: 10.1137/080724940
   Web of Science ®Google Scholar
• Olfati-Saber, R., & Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49(9), 1520–1533. doi: 10.1109/TAC.2004.834113
   Web of Science ®Google Scholar
• Overton, M. L. (2009). HANSO: A hybrid algorithm for non-smooth optimization. New York: Computer Science, New York University.
   Google Scholar
• Ozer, S. M., & Iftar, A. (2015). Decentralized controller design for time-delay systems by optimization. IFAC-PapersOnLine, 48(12), 462–467. doi: 10.1016/j.ifacol.2015.09.422
   Google Scholar
• Pecora, L. M., & Carroll, T. L. (1998, March). Master stability functions for synchronized coupled systems. Physical Review Letters, 80, 2109–2112. doi: 10.1103/PhysRevLett.80.2109
   Web of Science ®Google Scholar
• Shi, X. Q., Davison, D. E., Kwong, R., & Davison, E. J. (2016, June). Optimized decentralized control of large scale systems. In 2016 12th IEEE International Conference on Control and Automation (ICCA), Kathmandu, Nepal (pp. 127–134).
   Google Scholar
• Siljak, D. (1991). Decentralized control of complex systems. Cambridge, MA: Academic Press.
   Google Scholar
• Stankovic, S. S., Stanojevic, M. J., & Siljak, D. D. (2000, September). Decentralized overlapping control of a platoon of vehicles. IEEE Transactions on Control Systems Technology, 8(5), 816–832. doi: 10.1109/87.865854
   Web of Science ®Google Scholar
• Zheng, Y., Li, S. E., Wang, J., Wang, L. Y., & Li, K. (2014). Influence of information flow topology on closed-loop stability of vehicle platoon with rigid formation. In 17th International IEEE Conference on Intelligent Transportation Systems (ITSC), Qingdao, China (pp. 2094–2100).
   Google Scholar