Robust control for nonlinear systems with uncertain time-varying parameters coupled with non-triangular terms

References

• Amato, F., Celentano, G., & Garofalo, F. (1993). New sufficient conditions for the stability of slowly varying linear systems. IEEE Transactions on Automatic Control, 38(9), 1409–1411. doi: 10.1109/9.237657
   Web of Science ®Google Scholar
• Binazadeh, M. H., & Shafiei, M. H. (2014). Robust stabilization of uncertain nonlinear slowly-varying systems: Application in a time-varying inertia pendulum. ISA Transactions, 53, 373–379. doi: 10.1016/j.isatra.2013.12.009
   PubMed Web of Science ®Google Scholar
• Chiang, N.-Y., Huang, R., & Zavala, V. M. (2017). An augmented Lagrangian filter method for real-time embedded optimization. IEEE Transactions on Automatic Control, 62(12), 6110–6121. doi: 10.1109/TAC.2017.2694806
   Web of Science ®Google Scholar
• Choi, H.-L., & Lim, J.-T. (2010). Asymptotic stabilization of an input-delayed chain of integrators with nonlinearitiy. Systems and Control Letters, 59(6), 374–379. doi: 10.1016/j.sysconle.2010.04.002
   Web of Science ®Google Scholar
• Gao, X., Liberzon, D., Liu, J., & Basar, T. (2018). Unified stability criteria for slowly time-varying and switched linear systems. Automatica, 96, 110–120. doi: 10.1016/j.automatica.2018.06.025
   Web of Science ®Google Scholar
• Jo, H.-W., Choi, H.-L., & Lim, J.-T. (2013). Measurement feedback control for a class of feedforward nonlinear systems. International Journal of Robust and Nonlinear Control, 23(12), 1405–1418. doi: 10.1002/rnc.2819
   Web of Science ®Google Scholar
• Kamen, E. W., Khargonekar, P. P., & Tannenbaum, A. (1989). Control of slowly-varying linear systems. IEEE Transaction on Automatic Control, 34(12), 1283–1285. doi: 10.1109/9.40776
   Web of Science ®Google Scholar
• Khalil, H. K. (2002). Nonlinear systems. Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Koo, M.-S., & Choi, H.-L. (2016). Dynamic gain control with a matrix inequality approach to uncertain systems with triangular and non-triangular nonlinearities. International Journal of Systems Science, 47(6), 1453–1464. doi: 10.1080/00207721.2014.934749
   Web of Science ®Google Scholar
• Koo, M.-S., Choi, H.-L., & Lim, J.-T. (2010). Global regulation of a class of uncertain nonlinear systems by switching adaptive controller. IEEE Transactions on Automatic Control, 55(12), 2822–2827. doi: 10.1109/TAC.2010.2069430
   Web of Science ®Google Scholar
• Krstic, M. (2004). Feedback linearizability and explicit integrator forwarding controllers for classes of feedforward systems. IEEE Transactions on Automatic Control, 49(10), 1668–1682. doi: 10.1109/TAC.2004.835361
   Web of Science ®Google Scholar
• Lee, S.-H., Sung, H.-K., Lim, J.-T., & Bien, Z. (2000). Self-tuning control of electromagnetic levitation systems. Automatica, 8(7), 749–756.
   Google Scholar
• Lei, H., & Lin, W. (2005). Universal adaptive control of nonlinear systems with unknown growth rate by ouput feedback. Automatica, 36(1), 1073–1078.
   Google Scholar
• Liu, C.-S., Ye, Q., & Zhang, S.-J. (2017). Adaptive control for a class of uncertain linear parameter-varying flight aircraft systems. International Journal of Adaptive Control and Signal Processing, 31(2), 210–222. doi: 10.1002/acs.2693
   Web of Science ®Google Scholar
• Marco, M.-A., Alexander, G. L., & Jorge, R. (2018). Sliding mode adaptive control for a class of nonlinear time-varying systems. International Journal of Robust and Nonlinear Control, 29(3), 766–778.
   Web of Science ®Google Scholar
• Marconi, L., & Isidori, A. (2000). Robust global stabilization of a class of uncertain feedforward nonlinear systems. Systems and Control Letters, 41, 281–290. doi: 10.1016/S0167-6911(00)00066-9
   Web of Science ®Google Scholar
• Mousavi, S. H., & Marquez, H. J. (2017). Decentralized summation-based triggering mechanism for Lipschitz nonlinear systems. International Journal of Robust and Nonlinear Control, 27, 4227–4244. doi: 10.1002/rnc.3794
   Web of Science ®Google Scholar
• Oh, S.-Y., & Choi, H.-L. (2018). Robust approximate feedback linearisation control for nonlinear systems with uncertain parameters and external disturbance: Its application to an electromagnetic levitation system. International Journal of Systems Science, 49(12), 2695–2703. doi: 10.1080/00207721.2018.1510058
   Web of Science ®Google Scholar
• Oh, S.-Y., & Choi, H.-L. (2019). A further result on global stabilization of a class of nonlinear systems by output feedback with unknown measurement sensitivity. International Journal of Control, Automation and Systems, 17(10), 2500–2507. doi: 10.1007/s12555-019-0033-5
   Web of Science ®Google Scholar
• Praly, L. (2003). Asymptotic stabilization via output feedback for lower triangular systems with output depentent incremental rate. IEEE Transactions on Automatic Control, 48(6), 1103–1108. doi: 10.1109/TAC.2003.812819
   Web of Science ®Google Scholar
• Qian, C., & Lin, W. (2002). Output feedback control of a class of nonlinear systems: A nonseparation principle paradigm. IEEE Transactions on Automatic Control, 47(10), 1710–1715. doi: 10.1109/TAC.2002.803542
   Web of Science ®Google Scholar
• Sinha, P. K. (1987). Electromagnetic suspension: Dynamics and control. London: Peter Peregriunus Ltd.
   Google Scholar
• Xudong, Y. (2003). Universal stabilization of feedforward nonlinear systems. Automatica, 39(1), 141–147. doi: 10.1016/S0005-1098(02)00196-6
   Web of Science ®Google Scholar
• Yao, J., Zhang, J., Zhao, M., & Li, X. (2018). Analysis of the stability of nonlinear suspension system with slow-varying sprung mass under dual-excitation. Journal of Sound and Vibration, 425, 124–136. doi: 10.1016/j.jsv.2018.03.029
   Web of Science ®Google Scholar
• Zhu, Y., Wen, C., Su, H., & Liu, X. (2014). Modular-based adaptive control of uncertain nonlinear time-varying systems with piecewise jumping parameters. Internaltional Journal of Adaptive Control and Signal Processing, 28(11), 1266–1289. doi: 10.1002/acs.2442
   Web of Science ®Google Scholar