Adaptive control under arbitrary switching for a class of switched nonlinear systems with nonlinear parameterisation

References

• Chiang, M.L., & Fu, L.C. (2014a). Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control. Automatica, 50(8), 2128–2135.
   Web of Science ®Google Scholar
• Chiang, M.L., & Fu, L.C. (2014b). Robust output feedback stabilization of switched nonlinear systems with average dwell time. Asian Journal of Control, 16(1), 264–276.
   Web of Science ®Google Scholar
• Dong, Y.L., Liu, J.Y., Mei, S.W., & Li, M.L. (2011). Stabilization for switched nonlinear time-delay systems. Nonlinear Analysis: Hybrid Systems, 5, 78–88.
   Google Scholar
• Jin, Y., Fu, J., Zhang, Y.M., & Jing, Y.W. (2014). Reliable control of a class of switched cascade nonlinear systems with its application to flight control. Nonlinear Analysis: Hybrid Systems, 11, 11–21.
   Web of Science ®Google Scholar
• Liberzon, D. (2003). Switching in systems and control. Boston, MA: Birkhauser.
   Google Scholar
• Liberzon, D., & Morse, A.S. (1999). Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5), 59–70.
   Web of Science ®Google Scholar
• Lin, H., & Antsaklis, P.J. (2009). Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transanctions on Automatic Control, 54(2), 308–322.
   Web of Science ®Google Scholar
• Lin, W., & Qian, C. (2002). Adaptive control of nonlinearly parameterized systems: The smooth feedback case. IEEE Transanctions on Automatic Control, 47(8), 1249–1265.
   Web of Science ®Google Scholar
• Long, L.J., & Zhao, J. (2014). Switched adaptive stabilization of switched nonlinearly parameterized cascade systems and its application to a two inverted pendulums. International Journal of Adaptive Control and Signal Processing, 29(3), 346–361.
   Web of Science ®Google Scholar
• Lu, B., Wu, F., & Kim, S. (2006). Switching LPV control of an F-16 aircraft via controller state reset. IEEE Transactions on Control Systems Technology, 14, 267–277.
   Web of Science ®Google Scholar
• Ma, R.C., Dimirovski, G.M., & Zhao, J. (2013). Backstepping robust H∞ control for a class of uncertain switched nonlinear systems under arbitrary switchings. Asian Journal of Control, 15(1), 1–10.
   Web of Science ®Google Scholar
• Ma, R.C., & Zhao, J. (2010). Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings. Automatica, 46, 1819–1823.
   Web of Science ®Google Scholar
• Menhour, L., Charara, A., & Lechner, D. (2014). Switched LQR/ H∞ steering vehicle control to detect critical driving situations. Control Engineering Practice, 24, 1–14.
   Web of Science ®Google Scholar
• Su, W.Z., Xie, L.H., & Souza, C.E. (1999). Global robust disturbance attenuation and almost disturbance decoupling for uncertain cascaded nonlinear systems. Automatica, 35, 697–707.
   Web of Science ®Google Scholar
• Tamba, T.A., & Leksono, E. (2010, December). Adaptive backstepping for stabilization of switched nonlinear systems. In Proceedings of 49th IEEE Conference on Decision and Control (pp. 1293–1297). Atlanta: IEEE.
   Google Scholar
• Wang, C.Y. (2013, May). Adaptive control for a class of switched nonlinear systems via backstepping recursive design. In The 25th Chinese Control and Decision Conference (pp. 612–616). Guiyang: IEEE.
   Google Scholar
• Wang, C.Y. (2014). Adaptive tracking control of uncertain MIMO switched nonlinear systems. International Journal of Innovative Computing, Information and Control, 10(3), 1149–1159.
   Google Scholar
• Wang, C.Y., Jiao, X.H., & Shi, S.L. (2012). Robust stabilization for a class of uncertain switched nonlinear systems via backstepping recursive design. China Science and Technology. Papers online.
   Google Scholar
• Wu, J.L. (2009). Stabilizing controllers design for switched nonlinear systems in strict-feedback form. Automatica, 45, 1092–1096.
   Web of Science ®Google Scholar
• Xiong, J.L., Lam, J., Shu, Z., & Mao, X.R. (2014). Stability analysis of continuous-time switched systems with a random switching signal. IEEE Transanctions on Automatic Control, 59(1), 180–186.
   Web of Science ®Google Scholar
• Yang, H., Jiang, B., & Cocquempot, V. (2014). A survey of results and perspectives on stabilization of switched nonlinear systems with unstable modes. Nonlinear Analysis: Hybrid Systems, 13, 45–60.
   Web of Science ®Google Scholar
• Yang, Y., Xiang, C., & Lee, T.H. (2012). Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching. International Journal of Control, 85(12), 1977–1995.
   Web of Science ®Google Scholar
• Yazdi, M.B., & Jahed-Motlagh, M.R. (2009). Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization. Chemical Engineering Journal, 155, 838–843.
   Web of Science ®Google Scholar