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A Convex Parameterization of Controllers Constrained to use only Relative Measurements (2310.16201v2)
Published 24 Oct 2023 in eess.SY and cs.SY
Abstract: The optimal controller design problem for systems equipped with sensors that measure only relative, rather than absolute, quantities is considered. This relative measurement structure is formulated as a design constraint; it is demonstrated that the resulting constrained controller design problem can be written as a convex program. Certain additional network structural constraints can be incorporated into this formulation, making it especially useful in distributed or networked settings. An illustrative example highlights the advantage of the proposed methodology over the standard formulation of the output feedback controller design problem. A numerical example is provided.
- H. Wang, M. Totaro, and L. Beccai, “Toward perceptive soft robots: Progress and challenges,” Advanced Science, vol. 5, no. 9, p. 1800541, 2018.
- N. Correll, Ç. D. Önal, H. Liang, E. Schoenfeld, and D. Rus, “Soft autonomous materials—using active elasticity and embedded distributed computation,” in Experimental Robotics: The 12th International Symposium on Experimental Robotics, pp. 227–240, Springer, 2014.
- S. Kim, C. Laschi, and B. Trimmer, “Soft robotics: a bioinspired evolution in robotics,” Trends in biotechnology, vol. 31, no. 5, pp. 287–294, 2013.
- M. Park, J.-Y. Yoo, T. Yang, Y. H. Jung, A. Vázquez-Guardado, S. Li, J.-H. Kim, J. Shin, W.-Y. Maeng, G. Lee, et al., “Skin-integrated systems for power efficient, programmable thermal sensations across large body areas,” Proceedings of the National Academy of Sciences, vol. 120, no. 6, p. e2217828120, 2023.
- G. E. Dullerud and R. D’Andrea, “Distributed control of heterogeneous systems,” IEEE Transactions on Automatic Control, vol. 49, no. 12, pp. 2113–2128, 2004.
- A. Nayyar, A. Mahajan, and D. Teneketzis, “Decentralized stochastic control with partial history sharing: A common information approach,” IEEE Transactions on Automatic Control, vol. 58, no. 7, pp. 1644–1658, 2013.
- A. Mahajan, N. C. Martins, M. C. Rotkowitz, and S. Yüksel, “Information structures in optimal decentralized control,” in 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp. 1291–1306, IEEE, 2012.
- U. Ahsun and D. W. Miller, “Dynamics and control of electromagnetic satellite formations,” in 2006 American Control Conference, pp. 6–pp, IEEE, 2006.
- Z. Abbasi, J. B. Hoagg, and T. M. Seigler, “Decentralized electromagnetic formation flight using alternating magnetic field forces,” IEEE Transactions on Control Systems Technology, vol. 30, no. 6, pp. 2480–2489, 2022.
- M. Rotkowitz and S. Lall, “A characterization of convex problems in decentralized control,” IEEE transactions on Automatic Control, vol. 50, no. 12, pp. 1984–1996, 2005.
- E. Jensen and B. Bamieh, “On the gap between system level synthesis and structured controller design: the case of relative feedback,” in 2020 American Control Conference (ACC), pp. 4594–4599, IEEE, 2020.
- Y.-S. Wang, N. Matni, and J. C. Doyle, “A system-level approach to controller synthesis,” IEEE Transactions on Automatic Control, vol. 64, no. 10, pp. 4079–4093, 2019.
- H. G. Oral and D. F. Gayme, “Disorder in large-scale networks with uni-directional feedback,” in 2019 American Control Conference (ACC), pp. 3394–3401, IEEE, 2019.
- E. Tegling and H. Sandberg, “On the coherence of large-scale networks with distributed pi and pd control,” IEEE control systems letters, vol. 1, no. 1, pp. 170–175, 2017.
- B. A. Francis, A course in H∞\infty∞ control theory. Springer, 1987.
- D. Youla, H. Jabr, and J. Bongiorno, “Modern wiener-hopf design of optimal controllers–part ii: The multivariable case,” IEEE Transactions on Automatic Control, vol. 21, no. 3, pp. 319–338, 1976.
- B. Bamieh, F. Paganini, and M. A. Dahleh, “Distributed control of spatially invariant systems,” IEEE Transactions on automatic control, vol. 47, no. 7, pp. 1091–1107, 2002.