References

• 1. 1)
     • 16. Rios, H., Davila, J., Fridman, L.: ‘High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs’, J. Franklin Inst., 2012, 349, (10), pp. 2975–3002 (doi: 10.1016/j.jfranklin.2012.07.003).
  2. 2)
     • 10. Edwards, C., Spurgeon, S., Patton, R.: ‘Sliding mode observers for fault detection and isolation’, Automatica, 2000, 36, (4), pp. 541–553 (doi: 10.1016/S0005-1098(99)00177-6).
  3. 3)
     • 12. Veluvolu, K.C., Kim, M.Y., Lee, D.: ‘Nonlinear sliding mode high-gain observers for fault estimation’, Int. J. Syst. Sci., 2011, 42, (7), pp. 1065–1074 (doi: 10.1080/00207721.2011.573102).
  4. 4)
     • 18. Rios, H., Efimov, D., Davila, J., Raissi, T., Fridman, L., Zolghadri, A.: ‘Non-minimum phase switched systems: HOSM-based fault detection and fault identification via Volterra integral’, Int. J. Adapt. Control Signal Process., 2014, 28, pp. 1372–1397 (doi: 10.1002/acs.2448).
  5. 5)
     • 11. Yan, X., Edwards, C.: ‘Adaptive sliding mode observer based fault reconstruction for nonlinear systems with parametric uncertainties’, IEEE Trans. Ind. Electron., 2008, 55, (11), pp. 4029–4036 (doi: 10.1109/TIE.2008.2003367).
  6. 6)
     • 34. Van Gorp, J., Defoort, M., Veluvolu, K., Djemai, M.: ‘Hybrid sliding mode observer for switched linear systems with unknown inputs’, J. Franklin Inst., 2014, 351, (7), pp. 3987–4008 (doi: 10.1016/j.jfranklin.2014.04.002).
  7. 7)
     • 4. Alessandri, A., Coletta, P.: ‘Design of observers for switched discrete-time linear systems’. American Control Conf., Denver, 2003, pp. 2785–2790.
  8. 8)
     • 2. Pettersson, S., Lennartson, B.: ‘Hybrid system stability and robustness verification using linear matrix inequalities’, Int. J. Control, 2002, 75, (16/17), pp. 1335–1355 (doi: 10.1080/0020717021000023762).
  9. 9)
     • 6. Davila, J., Rios, H., Fridman, L.: ‘State observation for nonlinear switched systems using nonhomogeneous high-order sliding mode observers’, Asian J. Control, 2012, 14, (4), pp. 911–923 (doi: 10.1002/asjc.516).
  10. 10)
      • 25. Tanwani, A., Shim, H., Liberzon, D.: ‘Observability for switched linear systems: characterization and observer design’, IEEE Trans. Autom. Control, 2013, 58, (4), pp. 891–904 (doi: 10.1109/TAC.2012.2224257).
  11. 11)
      • 9. Belkhiat, D., Manamanni, N., Messai, N., Djemai, M.: ‘Fault detection & isolation for a class of hybrid systems: a dedicated switched robust observer scheme’. Twentieth Mediterrane and Conf. on Control and Automation (MED), Barcelona, 2012, pp. 978–983.
  12. 12)
      • 32. Bejarano, F.J., Pisano, A., Usai, E.: ‘Finite-time converging jump observer for switched linear systems with unknown inputs’, Nonlinear Anal., Hybrid Syst., 2011, 5, (2), pp. 174–188 (doi: 10.1016/j.nahs.2010.04.010).
  13. 13)
      • 30. Levant, A.: ‘Higher-order sliding modes, differentiation and output-feedback control’, Int. J. Control, 2003, 76, (9–10), pp. 924–941 (doi: 10.1080/0020717031000099029).
  14. 14)
      • 21. Tanwani, A., Dominguez-Garcia, A.D., Liberzon, D.: ‘An inversion-based approach to fault detection and isolation in switching electrical networks’, IEEE Trans. Control Syst., 2011, 19, (5), pp. 1059–1074 (doi: 10.1109/TCST.2010.2067214).
  15. 15)
      • 8. Belkhiat, D., Messai, N., Manamanni, N.: ‘Design of a robust fault detection based observer for linear switched systems with external disturbances’, Nonlinear Anal. Hybrid, 2011, 5, (2), pp. 206–219 (doi: 10.1016/j.nahs.2010.10.009).
  16. 16)
      • 3. Liberzon, D.: ‘Switching in systems and control’ (Birkhauser, Boston, MA, 2003).
  17. 17)
      • 33. Bejarano, F.J., Pisano, A.: ‘Switched observers for switched linear systems with unknown inputs’, IEEE Trans. Autom. Control, 2011, 56, (3), pp. 681–686 (doi: 10.1109/TAC.2010.2095990).
  18. 18)
      • 2. Lin, H., Antsaklis, P.J.: ‘Stability and stabilization of switched linear systems: a survey of recent results’, IEEE Trans. Autom. Control, 2009, 54, (2), pp. 308–322 (doi: 10.1109/TAC.2008.2012009).
  19. 19)
      • 7. Isermann, R.: ‘Fault diagnosis of technical process—applications’ (Springer, Heidelberg, 2006).
  20. 20)
      • 13. Veluvolu, K.C., Defoort, M., Soh, Y.: ‘High-gain observer with sliding mode for nonlinear state estimation and fault reconstruction’, J. Franklin Inst., 2014, 351, (4), pp. 1995–2014 (doi: 10.1016/j.jfranklin.2012.12.018).
  21. 21)
      • 5. Bejarano, F., Fridman, L.: ‘State exact reconstruction for switched linear systems via a super-twisting algorithm’, Int. J. Syst. Sci., 2011, 42, (5), pp. 717–724 (doi: 10.1080/00207721.2010.502264).