References
- Aeyels, D., & de Leenheer, P. (2002). Extension of the Perron– Frobenious theorem to homogeneous systems. SIAM Journal of Control and Optimization, 41, 563–582.
- Ailon, A. (2010). Simple tracking controllers for autonomous VTOL aircraft with bounded inputs. IEEE Transactions on Automatic Control, 55, 737–743.
- Apostol, T.M. (1974). Mathematical analysis (2nd ed.). Reading, MA: Addison-Wesley.
- Bacciotti, A., & Rosier, L. (2005). Lyapunov functions and stability in control theory (2nd ed.). Berlin: Springer.
- Bhat, S.P., & Bernstein, D.S. (2000). Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization, 38, 751–766.
- Bhat, S.P., & Bernstein, D.S. (2005). Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals, and Systems, 17, 101–127.
- Castillo, P., Dzul, A., & Lozano, R. (2004). Real-time stabilization and tracking of a four-rotor mini rotor craft. IEEE Transactions on Control Systems Technology, 12, 510–516.
- Chemori, A., & Marchand, N. (2008). A prediction-based nonlinear controller for stabilization of a non-minimum phase PVTOL aircraft. International Journal of Robust and Nonlinear Control, 18, 876–889.
- Consolini, L., Maggiore, M., Nielsen, C., & Tosques, M. (2010). Path following for the PVTOL aircraft. Automatica, 46, 1284–1296.
- Consolini, L., & Tosques, M. (2007). On the VTOL exact tracking with bounded internal dynamics via a Poincaré map approach. IEEE Transactions on Automatic Control, 52, 1757–1762.
- Do, K.D., Jiang, Z.P., & Pan, J. (2003). On the global tracking control of a VTOL aircraft without velocity measurements. IEEE Transactions on Automatic Control, 48, 2212–2217.
- Fantoni, I., & Lozano, R. (2002). Nonlinear control for underactuated mechanical systems. London: Springer.
- Frye, M.T., Ding, S., Qian, C., & Li, S. (2010). Fast convergent observer design for output feedback stabilisation of a planar vertical takeoff and landing aircraft. IET Control Theory and Applications, 4, 690–700.
- Haimo, V.T. (1986). Finite time controllers. SIAM Journal on Control and Optimization, 24, 760–770.
- Hauser, J., Sastry, S., & Meyer, G. (1992). Nonlinear control design for slightly nonminimum phase systems: Application to V/STOL aircraft. Automatica, 28, 665–679.
- Hong, Y. (2002). Finite-time stabilization and stabilizability of a class of controllable systems. Systems & Control Letters, 46, 231–236.
- Hong, Y., Huang, J., & Xu, Y. (2001). On an output feedback finite-time stabilization problem. IEEE Transactions on Automatic Control, 46, 305–309.
- Khalil, H.K. (2002). Nonlinear systems (3rd ed.). Upper Saddle River, NJ: Prentice Hall.
- Lin, F., Zhang, W., & Brandt, R.D. (1999). Robust hovering control of a PVTOL aircraft. IEEE Transactions on Control Systems Technology, 7, 343–351.
- Liu, Y., & Yu, H. (2013). A survey of underactuated mechanical systems. IET Control Theory and Applications, 7, 921–935.
- López-Araujo, D.J., Zavala-Río, A., Fantoni, I., Salazar, S., & Lozano, R. (2010). Global stabilisation of a PVTOL aircraft with lateral force coupling and bounded inputs. International Journal of Control, 83, 1427–1441.
- Lozano, R., Castillo, P., & Dzul, A. (2004). Global stabilization of the PVTOL: Real-time application to a mini-aircraft. International Journal of Control, 77, 735–740.
- Marconi, L., Isidori, A., & Serrani, A. (2002). Autonomous vertical landing on an oscillating platform: An internal-model based approach. Automatica, 38, 21–32.
- Martin, P., Devasia, S., & Paden, B. (1996). A different look at output tracking: Control of a VTOL aircraft. Automatica, 32, 101–107.
- Michel, A.N., Hou, L., & Liu, D. (2008). Stability of dynamical systems. Boston, MA: Birkhäuser.
- Olfati-Saber, R. (2002). Global configuration stabilization for the VTOL aircraft with strong input coupling. IEEE Transactions on Automatic Control, 47, 1949–1952.
- Saeed, B., & Gratton, G.B. (2010). An evaluation of the historical issues associated with achieving non-helicopter V/STOL capability and the search for the flying car. The Aeronautical Journal, 114, 91–102.
- Sanahuja, G., Castillo-García, P., & Sanchez, A. (2010). Stabilization of n integrators in cascade with bounded input with experimental application to a VTOL laboratory system. International Journal of Robust and Nonlinear Control, 20, 1129–1139.
- Setlur, P., Dawson, D., Fang, Y., & Costic, B. (2001, December). Nonlinear tracking control of the VTOL aircraft. In 40th IEEE Conference on Decision and Control (pp. 4592–4597). Orlando, FL.
- Su, S., & Lin, Y. (2011). Robust output tracking control of a class of non-minimum phase systems and application to VTOL aircraft. International Journal of Control, 84, 1858–1872.
- Su, S., & Lin, Y. (2013). Output tracking control for a velocity-sensorless VTOL aircraft with measurement delays. International Journal of Systems Science. doi: 10.1080/00207721.2013.801091
- Teel, A.R. (1992). Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems & Control Letters, 18, 165–171.
- Turker, T., Gorgun, H., & Cansever, G. (2012). Stabilization of uncoupled PVTOL aircraft based on a Lyapunov function. Transactions of the Institute of Measurement and Control, 34, 578–584.
- Turker, T., Oflaz, T., Gorgun, H., & Cansever, G. (2012, June). A stabilizing controler for PVTOL aircraft. In 2012 American Control Conference (pp. 909–913). Montréal.
- Wang, X., Liu, J., & Cai, K.Y. (2009). Tracking control for a velocity-sensorless VTOP aricraft with delayed outputs. Automatica, 45, 2876–2882.
- Wang, X., Liu, J., & Cai, K.Y. (2010). Tracking control for VTOL aircraft with disabled IMUs. International Journal of Systems Science, 41, 1231–1239.
- Wang, X., Yang, G., & Xu, W. (2008). Output tracking for nonlinear non-minimum phase systems and application to PVTOL aircraft. International Journal of Systems Science, 39, 29–42.
- Wood, R., & Cazzolato, B. (2007). An alternative nonlinear control law for the global stabilization of the PVTOL vehicle. IEEE Transactions on Automatic Control, 52, 1282–1287.
- Ye, H., Wang, H., & Wang, H. (2007). Stabilization of a PVTOL aircraft and an inertia wheel pendulum using saturation technique. IEEE Transactions on Control Systems Technology, 15, 1143–1150.
- Zavala-Río, A., & Fantoni, I. (2014). Global finite-time stability characterized through a local notion of homogeneity. IEEE Transactions on Automatic Control, 59, 471–477.
- Zavala-Río, A., Fantoni, I., & Lozano, R. (2003). Global stabilization of a PVTOL aircraft model with bounded inputs. International Journal of Control, 76, 1833–1844.