Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems

Astolfi, 1999, Exponential stabilization of a wheeled mobile robot via discontinuous control, ASME Journal of Dynamic Systems, Measurement, and Control, 121, 121, 10.1115/1.2802429 Bartolini, 1998, Chattering avoidance by second-order sliding mode control, IEEE Transactions on Automatic Control, 43, 241, 10.1109/9.661074 Bartolini, G., Levant, A., Pisano, A., & Usai, E. (1999). 2-sliding mode with adaptation. In Proceedings of the seventh IEEE Mediterranean conference on control and systems, Haifa, Israel. Bennani, M., & Rouchon, P., 1995. Robust stabilization of flat and chained systems. In Proceedings of the European control conference, Rome, Italy. Brockett, 1983, Asymptotic stability and feedback stabilization Canudas de Wit, C., & Khenouf, H. H. (1995). Quasi continuous stabilizing controllers for nonholonomic systems: Design and robustness considerations. In Proceedings of the European control conference, Rome, Italy. Emel'yanov, 1993, Higher-order sliding modes in control systems, Differential Equations, 29, 1627 Fliess, 1995, Flatness and defect of non-linear systems, International Journal of Control, 61, 1327, 10.1080/00207179508921959 Floquet, T. (2000). Contributions à la commande par modes glissants d'ordre supérieur. Ph.D. thesis, Université de Lille I, France. Floquet, T., Barbot, J. P., & Perruquetti, W. (2000). One-chained form and sliding mode stabilization for a nonholonomic perturbed system. In Proceedings of the American control conference, Chicago, USA. Hespanha, 1999, Stabilization of nonholonomic integrators via logic-based switching, Automatica, 35, 385, 10.1016/S0005-1098(98)00166-6 Jiang, 2000, Robust exponential regulation of nonholonomic systems with uncertainties, Automatica, 36, 189, 10.1016/S0005-1098(99)00115-6 Jiang, 1999, A recursive technique for tracking control of nonholonomic systems in chained form, IEEE Transactions on Automatic Control, 44, 265, 10.1109/9.746253 Kolmanovsky, 1995, Developments in nonholonomic control problems, IEEE Control Systems Magazine, 15, 20, 10.1109/37.476384 Levant, 1993, Sliding order and sliding accuracy in sliding mode control, International Journal of Control, 58, 1247, 10.1080/00207179308923053 Levant, 2001, Universal siso sliding-mode controllers with finite-time convergence, IEEE Transactions on Automatic Control, 46, 1447, 10.1109/9.948475 M'Closkey, 1997, Exponential stabilization of driftless nonlinear control systems using homogeneous feedback, IEEE Transactions on Automatic Control, 42, 614, 10.1109/9.580865 Monaco, S., & Normand-Cyrot, D. (1992). An introduction to motion planning under multirate digital control. In Proceedings of the IEEE control and decision conference, Tucson, AZ (pp. 1780–1785). Morin, 1999, Exponential stabilization of nonlinear driftless systems with robustness to unmodeled dynamics, ESAIM:COCV, 4, 1, 10.1051/cocv:1999101 Murray, 1994 Murray, 1993, Nonholonomic motion planning, IEEE Transactions on Automatic Control, 38, 700, 10.1109/9.277235 Pomet, 1992, Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift, Systems and Control Letters, 18, 147, 10.1016/0167-6911(92)90019-O Samson, 1995, Control of chained systems: Application to path following and time varying point-stabilization of mobile robots, IEEE Transactions on Automatic Control, 40, 10.1109/9.362899 Utkin, 1992 Walsh, 1995, Stabilization of multiple input chained form control systems, Systems and Control Letters, 25, 227, 10.1016/0167-6911(94)00061-Y