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A Distributed Model Predictive Control for Multiple Mobile Robots with the Model Uncertainty
Author(s) -
Wei Shang,
Hanzong Zhu,
Yurong Pan,
Xiuhong Li,
Daode Zhang
Publication year - 2021
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2021/9923496
Subject(s) - model predictive control , computer science , mobile robot , mathematical optimization , minification , control theory (sociology) , stability (learning theory) , robot , lyapunov function , lyapunov stability , quadratic equation , control (management) , robust control , set (abstract data type) , artificial intelligence , control system , mathematics , machine learning , engineering , nonlinear system , physics , geometry , quantum mechanics , electrical engineering , programming language
In this paper, a distributed predictive control with the model uncertainty which uses the data-driven strategy and robust theory (data-driven RDMPC) is proposed for the formation control of multiple mobile robots. The robust performance objective minimization is applied to replace the quadratic performance objective minimization to establish the optimization problem, where the model uncertainty is considered in the distributed system. The control policy is derived by applying the data-driven strategy, and the future predictive value is obtained by employing the linear law in the historical data. Lyapunov theory is referred to analyze the stability of the mobile robot formation system. The effectiveness of the proposed method is proved by a set of simulation experiments.

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