Switching controller design for linear time invariant plant with a single I/O delay

References

• Allerhand, L. I., & Shaked, U. (2013). Robust control of linear systems via switching. IEEE Transactions on Automatic Control, 58(2), 506–512. doi: 10.1109/TAC.2012.2206715
   Web of Science ®Google Scholar
• Blanchini, F., Casagrande, D., Miani, S., & Viaro, U. (2016). Stable LPV realisation of the Smith predictor. International Journal of Systems Science, 47(10), 2393–2401. doi: 10.1080/00207721.2014.998319
   Web of Science ®Google Scholar
• Blanchini, F., Miani, S., & Mesquine, F. (2009). A separation principle for linear switching systems and parametrization of all stabilizing controllers. IEEE Transactions on Automatic Control, 54(2), 279–292. doi: 10.1109/TAC.2008.2010896
   Web of Science ®Google Scholar
• Bolzern, P., Deaecto, G., & Galbusera, L. (2013, December 10–13). State and output feedback control of switched linear systems with time-varying delay. 52nd IEEE Conference on Decision and Control (CDC), Florence, Italy (pp. 1578–1583). IEEE.
   Google Scholar
• Boukas, E. K. (2007). Stochastic switching systems: Analysis and design. Berlin: Springer Science & Business Media.
   Google Scholar
• Curtain, R. F., & Zhou, Y. (1996). A weighted mixed-sensitivity H∞-control design for irrational transfer matrices. IEEE Transactions on Automatic Control, 41(9), 1312–1321. doi: 10.1109/9.536500
   Google Scholar
• Deaecto, G. S., Geromel, J. C., Galbusera, L., & Bolzern, P. (2012, December 10–13). Extended small gain theorem with application to time-delay switched linear systems. 51st IEEE Conference on Decision and Control (CDC), Maui, HI (pp. 2660–2665). IEEE.
   Google Scholar
• DeCarlo, R., Branicky, M. S., Pettersson, S., & Lennartson, B. (2000). Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7), 1069–1082. doi: 10.1109/5.871309
   Web of Science ®Google Scholar
• Geromel, J. C., & Deaecto, G. S. (2009). Switched state feedback control for continuous-time uncertain systems. Automatica, 45, 593–597. doi: 10.1016/j.automatica.2008.10.010
   Web of Science ®Google Scholar
• Green, M., & Limebeer, D. N. (1994). Linear robust control. Upper Saddle River, NJ: Prentice-Hall.
   Google Scholar
• Hespanha, J., & Morse, A. S. (2002). Switching between stabilizing controllers. Automatica, 38(11), 1905–1917. doi: 10.1016/S0005-1098(02)00139-5
   Web of Science ®Google Scholar
• Hirata, K., & Hespanha, J. P. (2010, December 15–17). ℒ2-induced gains of switched systems and classes of switching signals. 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA (pp. 438–442). IEEE.
   Google Scholar
• Kucera, V. (1991). Analysis and design of discrete linear control systems. Englewood Cliffs, NJ: Prentice Hall International.
   Google Scholar
• Li, Z., Xu, Y., Fei, Z., & Agarwal, R. (2015). Exponential stability analysis and stabilization of switched delay systems. Journal of the Franklin Institute, 352, 4980–5002. doi: 10.1016/j.jfranklin.2015.08.002
   Web of Science ®Google Scholar
• Liberzon, D. (2003). Switching in systems and control. Boston, MA: Birkhäuser.
   Google Scholar
• Liberzon, D., Hespanha, J. P., & Morse, A. S. (1999). Stability of switched systems: A lie-algebraic condition. Systems & Control Letters, 37(3), 117–122. doi: 10.1016/S0167-6911(99)00012-2
   Web of Science ®Google Scholar
• Liberzon, D., & Morse, A. S. (1999). Basic problems in stability and design of switched systems. IEEE Control Systems, 19(5), 59–70. doi: 10.1109/37.793443
   Web of Science ®Google Scholar
• Lin, H., & Antsaklis, P. J. (2009). Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control, 54, 308–322. doi: 10.1109/TAC.2008.2012009
   Web of Science ®Google Scholar
• Mirkin, L., & Raskin, N. (2003). Every stabilizing dead-time controller has an observer–predictor-based structure. Automatica, 39, 1747–1754. doi: 10.1016/S0005-1098(03)00182-1
   Web of Science ®Google Scholar
• Mirkin, L., & Zhong, Q. C. (2003). 2DOF controller parameterization for systems with a single I/O delay. IEEE Transactions on Automatic Control, 48(11), 1999–2004. doi: 10.1109/TAC.2003.819286
   Web of Science ®Google Scholar
• Nemirovski, G., Laub, A., & Gahinet, A. J. (1995). LMI control toolbox for use with matlab. Natick: The MathWorks.
   Google Scholar
• Sun, X., Wang, W., Liu, G., & Zhao, J. (2008). Stability analysis for linear switched systems with time-varying delay. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 38(2), 528–533. doi: 10.1109/TSMCB.2007.912078
   PubMed Web of Science ®Google Scholar
• Sun, Z., & Ge, S. S. (2005). Switched linear systems: Control and design. London: Springer.
   Google Scholar
• Watanabe, K., & Ito, M. (1981). A process-model control for linear systems with delay. IEEE Transactions on Automatic Control, 26(6), 1261–1269. doi: 10.1109/TAC.1981.1102802
   Web of Science ®Google Scholar
• Xie, W. (2016). H∞ performance controller parameterization of linear switching plants under uncontrolled switching. International Journal of Control, 89(5), 871–878. doi: 10.1080/00207179.2015.1102972
   Web of Science ®Google Scholar
• Xie, W., & Li, G. L. (2012). GIMC architecture for linear systems with a single I/O delay. Journal of the Franklin Institute-Engineering and Applied Mathematics, 349, 2151–2162. doi: 10.1016/j.jfranklin.2012.03.004
   Web of Science ®Google Scholar
• Yan, P., & Özbay, H. (2008). Stability analysis of switched time delay systems. SIAM Journal on Control and Optimization, 47(2), 936–949. doi: 10.1137/060668262
   Web of Science ®Google Scholar
• Youla, D., Jabr, H., & Bongiorno, J. J. (1976). Modern wiener-hopf design of optimal controllers–Part II: The multivariable case. IEEE Transactions on Automatic Control, 21(3), 319–338. doi: 10.1109/TAC.1976.1101223
   Web of Science ®Google Scholar
• Yuan, C., & Wu, F. (2015). Switching control of linear systems subject to asymmetric actuator saturation. International Journal of Control, 88(1), 204–215. doi: 10.1080/00207179.2014.942884
   Web of Science ®Google Scholar
• Zhang, J., Zhao, X., & Huang, J. (2016). Absolute exponential stability of switched nonlinear time-delay systems. Journal of the Franklin Institute, 353, 1249–1267. doi: 10.1016/j.jfranklin.2015.12.015
   Web of Science ®Google Scholar
• Zhao, J., & Hill, D. J. (2008). On stability L2 gain and H∞ control for switched systems. Automatica, 44, 1220–1232. doi: 10.1016/j.automatica.2007.10.011
   Web of Science ®Google Scholar
• Zhong, Q. C. (2003a). Control of integral processes with dead time-part 3: Deadbeat disturbance response. IEEE Transactions on Automatic Control, 48(1), 153–159. doi: 10.1109/TAC.2002.806670
   Web of Science ®Google Scholar
• Zhong, Q. C. (2003b). H∞ control of dead-time systems based on a transformation. Automatica, 39, 361–366. doi: 10.1016/S0005-1098(02)00225-X
   Web of Science ®Google Scholar
• Zhou, K., Doyle, J. C., & Glover, K. (1995). Robust and optimal control. Upper Saddle River, NJ: Prentice-Hall.
   Google Scholar
• Zwart, H., & Bontsema, J. (1997). An application driven guide through infinite-dimensional systems theory. In G. Bastin & M. Gevers (Eds.), Plenary lectures and mini-courses European Control Conference, ECC'97 (pp. 289–328). Brussels: Plenary Lectures and Mini-Courses.
   Google Scholar