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Prescribed performance bound-based adaptive path-following control of uncertain nonholonomic mobile robots. (English) Zbl 1369.93425

Summary: In this paper, we consider the transient performance of path-following control of nonholonomic mobile robots with parametric uncertainties. By incorporating prescribed performance bound (PPB) technique, the transient performances on position and orientational tracking errors will be guaranteed with convergence rates no less than certain pre-specified values and sufficiently small maximum overshoots. We also extend the proposed scheme to solve the formation control problem for a group of \(N\) unicycle-type mobile robots without inter-robot communications. It is ensured that all the robots can track their references with arbitrarily small errors and no collision will occur between any two robots. Simulation studies verify the established theoretical results.

MSC:

93C85 Automated systems (robots, etc.) in control theory
93C40 Adaptive control/observation systems
93C41 Control/observation systems with incomplete information
70F25 Nonholonomic systems related to the dynamics of a system of particles
93A14 Decentralized systems
Full Text: DOI

References:

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