Abstract

Global 𝒦-exponential controllers are constructed for the tracking control problem of nonholonomic systems in chained form. Compared to previously published papers, a difference is that the reference targets are allowed to converge to a point exponentially. By using a novel transformation and the cascade-design method, the tracking control problem is converted into a stabilisation problem composed of two simple subsystems. Then the LMI-design approach is developed for the stabilising one of the above two subsystems. Assumptions on the reference signal is much more relaxed than our previous papers. A peculiar character of the presented methodology is that global 𝒦-exponential tracking can be successfully obtained for nonholonomic chained-form systems without the popular condition of persistent excitation or not converging to zero. Simulation results on a unicycle mobile robot and an articulated vehicle are presented to show the validity of the proposed strategy.

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