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January  2016, 12(1): 17-29. doi: 10.3934/jimo.2016.12.17

## Global stabilization for ball-and-beam systems via state and partial state feedback

 1 School of Information Science and Engineering, Central South University, Changsha, Hunan 410083, China 2 Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845

Received  June 2014 Revised  October 2014 Published  April 2015

In this paper, we present new state and partial state feedback laws as global stabilizers of the well-known frictionless ball and beam system. Dealing with nonlinear terms in the manner different from the ones in the literature, we have achieved a new, simple state-dependent saturation control law. The key technique is to assign a suitable state-dependent saturation level function and jointly use the computation techniques of linear gains. Then, combining such a state feedback law with a homogeneous observer, we again obtain a new partial state feedback design.
Citation: Huawen Ye, Honglei Xu. Global stabilization for ball-and-beam systems via state and partial state feedback. Journal of Industrial & Management Optimization, 2016, 12 (1) : 17-29. doi: 10.3934/jimo.2016.12.17
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