Region of attraction estimation for saturated reset control systems

Abstract

In this work, a new technique for the computation of the region of attraction for linear and time invariant systems controlled by a saturated reset control system is presented. The estimation of the region of attraction is based on a polytopic representation. In addition, the information of the solutions is synthesized in a directed graph formed by the polytopes. After presenting several useful conditions on the polytopes, such as positive invariance and convergence to the origin, a procedure is proposed to process the graph and obtain a region of attraction estimation. The effectiveness of the proposed technique is illustrated by a numerical example.

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Cite this paper

@article{Davox03012014RegionOA, title={Region of attraction estimation for saturated reset control systems}, author={M. A. Davox0301 and Alfonso Ba{\~n}os and J. C. Moreno}, journal={2014 14th International Conference on Control, Automation and Systems (ICCAS 2014)}, year={2014}, pages={6-11} }