Abstract
Most of controllers for nonlinear systems are designed by using linearly approximated models and by applying linear control theory. In most of such cases, nonlinear control theory cannot improve control performance as long as we are controlling the systems in the vicinity of the equilibrium point. However, there are many under-actuated systems which are not stabilized with this linearization strategy: some sorts of singularity at the equilibrium point cause uncontrollability of the approximated linear model even though the system is controllable in nonlinear control theory. This note will present such nature of under-actuated systems and their control strategies.
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Sampei, M. (2018). Under-Actuated Systems: Nonlinear Control Showcase. In: Duy, V., Dao, T., Zelinka, I., Kim, S., Phuong, T. (eds) AETA 2017 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. AETA 2017. Lecture Notes in Electrical Engineering, vol 465. Springer, Cham. https://doi.org/10.1007/978-3-319-69814-4_1
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DOI: https://doi.org/10.1007/978-3-319-69814-4_1
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