Abstract
This paper is concerned with the inherent
This paper is concerned with the inherent
H. W. Bode, Network Analysis and Feedback Amplifier Design, Van Nostrand, Princeton, NJ, USA, 1945.
View at: Google ScholarJ. Chen, “Logarithmic integrals, interpolation bounds, and performance limitations in MIMO feedback systems,” IEEE Transactions on Automatic Control, vol. 45, no. 6, pp. 1098–1115, 2000.
View at: Publisher Site | Google Scholar | MathSciNetJ. S. Freudenberg and D. P. Looze, “Right half plane poles and zeros and design tradeoffs in feedback systems,” IEEE Transactions on Automatic Control, vol. 30, no. 6, pp. 555–565, 1985.
View at: Publisher Site | Google Scholar | MathSciNetM. M. Seron, J. H. Braslavsky, and G. C. Goodwin, Fundamental Limitations in Filtering and Control, Springer, London, UK, 1997.
View at: Google ScholarS. Skogestad and I. Postletwaite, Multivariable Feedback Control: Analysis and Design, John Wiley & Sons, Chichester, UK, 2nd edition, 2005.
View at: Google ScholarT. Bakhtiar and S. Hara, “ control performance limitations for SIMO systems: a unified approach,” in Proceedings of the 6th Asian Control Conference (ASCC '06), pp. 555–563, Bali, Indonesia, July 2006.
View at: Google ScholarG. Chen, J. Chen, and R. Middleton, “Optimal tracking performance for SIMO systems,” IEEE Transactions on Automatic Control, vol. 47, no. 10, pp. 1770–1775, 2002.
View at: Publisher Site | Google Scholar | MathSciNetJ. Chen, S. Hara, and G. Chen, “Best tracking and regulation performance under control energy constraint,” IEEE Transactions on Automatic Control, vol. 48, no. 8, pp. 1320–1336, 2003.
View at: Publisher Site | Google Scholar | MathSciNetJ. Chen, L. Qiu, and O. Toker, “Limitations on maximal tracking accuracy,” IEEE Transactions on Automatic Control, vol. 45, no. 2, pp. 326–331, 2000.
View at: Publisher Site | Google Scholar | MathSciNetO. Toker, J. Chen, and L. Qiu, “Tracking performance limitations in LTI multivariable discrete-time systems,” IEEE Transactions on Circuits and Systems I, vol. 49, no. 5, pp. 657–670, 2002.
View at: Publisher Site | Google ScholarS. Hara and C. Kogure, “Relationship between control performance limits and RHP pole/zero locations,” in Proceedings of the Society of Instrument and Control Engineers Annual Conference (SICE '03), pp. 1242–1246, Fukui, Japan, August 2003.
View at: Google ScholarT. Bakhtiar and S. Hara, “ regulation performance limits for SIMO feedback control systems,” in Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS '06), pp. 1966–1973, Kyoto, Japan, July 2006.
View at: Google ScholarV. Kariwala, S. Skogestad, J. F. Forbes, and E. S. Meadows, “Achievable input performance of linear systems under feedback control,” International Journal of Control, vol. 78, no. 16, pp. 1327–1341, 2005.
View at: Publisher Site | Google Scholar | MathSciNetJ. H. Braslavsky, R. Middleton, and J. S. Freudenberg, “Feedback stabilization over signal-to-noise ratio constrained channels,” in Proceedings of the American Control Conference, vol. 6, pp. 4903–4908, Boston, Mass, USA, June-July 2004.
View at: Google ScholarR. Middleton, J. H. Braslavsky, and J. Freudenberg, “Stabilization of non-minimum phase plants over signal-to-noise ratio constrained channels,” in Proceedings of the 5th Asian Control Conference (ASCC '04), vol. 3, pp. 1914–1922, Melbourne, Australia, July 2004.
View at: Google ScholarR. Middleton and G. C. Goodwin, Digital Control and Estimation: A Unified Approach, Prentice-Hall, Englewood Cliffs, NJ, USA, 1990.
View at: Google ScholarJ. Chen, Z. Ren, S. Hara, and L. Qiu, “Optimal tracking performance: preview control and exponential signals,” IEEE Transactions on Automatic Control, vol. 46, no. 10, pp. 1647–1653, 2001.
View at: Publisher Site | Google Scholar | MathSciNetA. R. Woodyatt, M. M. Seron, J. S. Freudenberg, and R. Middleton, “Cheap control tracking performance for non-right-invertible systems,” International Journal of Robust and Nonlinear Control, vol. 12, no. 15, pp. 1253–1273, 2002.
View at: Publisher Site | Google ScholarS. Hara and T. Bakhtiar, “ tracking performance limitations for SIMO feedback systems: a unified approach to control input penalty case,” Tech. Rep. METR2006-33, Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan, May 2006.
View at: Google ScholarJ. Chen, S. Hara, L. Qui, and R. Middleton, “Best achievable tracking performance in sampled-data control systems,” in Proceedings of the 41st IEEE Conference on Decision and Control (CDC '02), vol. 4, pp. 3889–3894, Las Vegas, Nev, USA, December 2002.
View at: Publisher Site | Google ScholarJ. S. Freudenberg, R. Middleton, and J. H. Braslavsky, “Inherent design limitations for linear sampled-data feedback systems,” International Journal of Control, vol. 61, no. 6, pp. 1387–1421, 1995.
View at: Google Scholar