Singularity-free adaptive backstepping control of uncertain Lorenz system
- 1 January 2000
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 5 (07431619) , 3143-3147 vol.5
- https://doi.org/10.1109/acc.2000.879144
Abstract
We consider the problem of controlling chaos in the well-known Lorenz system. Firstly we show that the Lorenz system can be transformed into a kind of nonlinear systems in the so-called general strict-feedback form. Then, adaptive backstepping design is used to control the Lorenz system with three key parameters unknown. By exploiting the property of the system, the resulting controller is singularity free, and the closed-loop system is stable globally. Simulation results are conducted to show the effectiveness of the approach.Keywords
This publication has 6 references indexed in Scilit:
- Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robotsIEEE Transactions on Robotics and Automation, 1999
- Stability analysis of the internal dynamics of a wheeled mobile robotJournal of Robotic Systems, 1997
- Structural properties and classification of kinematic and dynamic models of wheeled mobile robotsIEEE Transactions on Robotics and Automation, 1996
- Robust motion/force control of mechanical systems with classical nonholonomic constraintsIEEE Transactions on Automatic Control, 1994
- Control of Mechanical Systems With Rolling ConstraintsThe International Journal of Robotics Research, 1994
- Nonlinear Control SystemsPublished by Springer Nature ,1989