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MIMO Super-Twisting Controller using a passivity-based design

A novel MIMO homogeneous Super-Twisting Algorithm is proposed in this paper for nonlinear systems with relative degree one, having a time and state-varying uncertain control matrix. The uncertainty is represented by a constant but unknown left matrix factor. Sufficient conditions for stability with full-matrix control gains are established, in contrast to the usual scalar gains. For this a smooth Lyapunov function, based on a passivity interpretation, is used. Moreover, continuous and homogeneous approximations of the classical discontinuous Super-Twisting algorithm are obtained, using a unified analysis method.

preprint2022arXivOpen access
Juan F. Garcia-MatheyJaime A. Moreno
Systems and Controleess.SY
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Juan F. Garcia-MatheyJaime A. Moreno

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