Abstract
The knowledge of the posture of a biped robot is a hard task, by a technological point-of-view. However, this information is crucial (in particular for walking dynamical bipeds in single support) for numerous advanced control laws which require all state variables. Observers design is then necessary.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Micheau, P., Roux, M.A., Bourassa, P.: Self-tuned trajectory control of a biped walking robot. In: Proc. Int. Conf. on Climbing and Walking Robot CLAWAR 2003, Catania, Italy (2003)
Grizzle, J.W., Choi, J.H., Hammouri, H., Morris, B.: On Observer-Based Feedback Stabilization of Periodic Orbits in Bipedal Locomotion. In: Proc. Methods and Models in Automation and Robotics (MMAR 2007), Szczecin, Poland (2007)
Aoustin, Y., Garcia, G., Janot, A.: Estimation of the Absolute Orientation of a Two-link biped using discrete observers. In: Proc. Mechatronics and Robotics Conf. MECHROB, Aachen, Germany (2004)
Lebastard, V., Aoustin, Y., Plestan, F.: Observer-based control of a biped robot. In: Proc. Int. Workshop on Robot Motion and Control ROMOCO, Puszczykowo, Poland (2004)
Slotine, J.J.E., Li, W.: Applied nonlinear control. Prentice Hall, New-York (1991)
Hashimoto, H., et al.: VSS observer for linear time varying system. In: Proc. IECON 1990, Pacific Grove, California (1990)
Utkin, J., Guldner, J., Shi, J.: Sliding modes in electromechanical systems. Taylor and Francis, London (1999)
Boukhobza, T., Barbot, J.P.: High order sliding modes observer. In: Proc. 1998 IEEE Conf. on Decision and Control CDC 1998, Tampa, Florida, USA (1998)
Lebastard, V., Aoustin, Y., Plestan, F.: Observer-based control of a walking biped robot: stability analysis. In: Proc. Int. Conf. on Climbing and Walking Robot CLAWAR 2006, Catania, Italy (2006)
Lebastard, V., Aoustin, Y., Plestan, F.: Step-by-step sliding mode observer for control of a walking biped robot by using only actuated variables measurement. In: Proc. IEEE Int. Conf. on Intelligent Robots and Systems IROS 2005, Edmonton, Canada (2005)
Bhat, S.P., Bernstein, D.S.: Continuous finite-time stabilization of the translational and rotationnal double integrator. IEEE Transactions on Automatic Control 43, 678–682 (1998)
Fridman, L., Levant, A.: Higher order sliding modes. In: Perruquetti, W., Barbot, J.P. (eds.) Sliding Mode Control in Engineering. Control Engineering Series. Marcel Dekker, New-York (2002)
Davila, J., Fridman, L., Levant, A.: Second-order sliding-mode observer for mechanical systems. IEEE Transactions on Automatic Control 50, 1785–1789 (2005)
Davila, J., Fridman, L., Levant, A.: Observation of linear systems with unknown inputs via high order sliding modes. International Journal of Systems Science 38, 773–791 (2007)
Fridman, L., Shtessel, Y., Edwards, C., Yan, X.G.: Higher-order sliding-mode observer for state estimation and input reconstruction in nonlinear systems. International Journal of Robust and Nonlinear Control 18, 399–412 (2007)
Chevallereau, C., et al.: Rabbit: a testbed for advanced control theory. IEEE Control Systems Magazine 23, 57–79 (2003)
Spong, M.W., Vidyasagar, M.: Robot dynamics and control. John Wiley, New-York (1991)
Aoustin, Y., Formal’sky, A.M.: Control design for a biped: reference trajectory based on driven angles as functions of the undriven angle. International Journal of Computer and Systems Sciences 42, 159–176 (2003)
Formal’sky, A.M.: Locomotion of Anthropomorphic Mechanisms, Nauka, Moscow, Russia (in Russian) (1982)
Grizzle, J.W., Abba, G., Plestan, F.: Asymptotically stable walking for biped robots: analysis via systems with impulse effects. IEEE Transactions on Automatic Control 46, 51–64 (2001)
Miossec, A., Aoustin, Y.: Mouvement de Marche Composé de Simple et Double Supports pour un Robot Bipède Planaire sans Pieds. In: Proc. Conf. Int. Francophone d’Automatique CIFA 2003, Nantes, France (in french) (2003)
Chevallereau, C., Aoustin, Y.: Optimal reference trajectories for walking and running of a biped. Robotica 19, 557–569 (2001)
Djoudi, D., Chevallereau, C., Aoustin, Y.: Optimal reference motions for walking of a biped robot. In: Proc. IEEE Int. Conf. on Robotics and Automation ICRA 2005, Barcelona, Spain (2005)
Krener, A.J., Respondek, W.: Nonlinear observers with linearizable error dynamics. SIAM J. Contr. Opt. 2, 197–216 (1985)
Lebastard, V., Aoustin, Y., Plestan, F.: Observer-based control of a walking biped robot without orientation measurement. Robotica 24, 385–400 (2006)
Lebastard, V., Aoustin, Y., Plestan, F.: Absolute orientation estimation for observer-based control of a five-link walking biped robot. In: Kozlowski, K. (ed.) Robot Motion and Control: Recent Developments. Lecture Notes in Control and Information Sciences, vol. 335. Springer, Berlin (2006)
Filippov, A.: Differential Equations with Discontinuos Right-hand Sides. Kluwer Academic Publishers, Dordrecht (1988)
Lebastard, V., Aoustin, Y., Plestan, F.: Finite time observer for absolute orientation estimation of a five-link walking biped robot. In: Proc. IEEE American Control Conf. ACC 2006, Minneapolis, Minnesota (2006)
Menini, L., Tornambè, A.: Velocity observers for linear mechanical systems subject to single non-smooth impacts. Systems and Control Letters 43, 193–202 (2001)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lebastard, V., Aoustin, Y., Plestan, F., Fridman, L. (2008). An Alternative to the Measurement of Five-Links Biped Robot Absolute Orientation: Estimation Based on High Order Sliding Mode. In: Bartolini, G., Fridman, L., Pisano, A., Usai, E. (eds) Modern Sliding Mode Control Theory. Lecture Notes in Control and Information Sciences, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79016-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-540-79016-7_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79015-0
Online ISBN: 978-3-540-79016-7
eBook Packages: EngineeringEngineering (R0)