Navigating Discrete Difference Equation Governed WMR by Virtual Linear Leader Guided HMPC

Huang, Chao, Chen, Xin, Tang, Enyi, He, Mengda, Bu, Lei, Qin, Shengchao and Zeng, Yifeng (2020) Navigating Discrete Difference Equation Governed WMR by Virtual Linear Leader Guided HMPC. In: 2020 IEEE International Conference on Robotics and Automation: ICRA 2020. IEEE, Piscataway. (In Press)

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Abstract

In this paper, we revisit model predictive control (MPC) for the classical wheeled mobile robot (WMR) navigation problem. We prove that the reachable set based hierarchical MPC (HMPC), a state-of-the-art MPC, cannot handle WMR navigation in theory due to the non-existence of non-trivial linear system with an under-approximate reachable set of WMR. Nevertheless, we propose a virtual linear leader guided MPC (VLL-MPC) to enable HMPC structure. Different from current HMPCs, we use a virtual linear system with an under-approximate path set rather than the traditional trace set to guide the WMR. We provide a valid construction of the virtual linear leader. We prove the stability of VLL-MPC, and discuss its complexity. In the experiment, we demonstrate the advantage of VLL-MPC empirically by comparing it with NMPC, LMPC and anytime RRT* in several scenarios.

Item Type: Book Section
Subjects: G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Related URLs:
Depositing User: John Coen
Date Deposited: 13 Jul 2020 10:12
Last Modified: 13 Jul 2020 10:15
URI: http://nrl.northumbria.ac.uk/id/eprint/43738

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