Adaptive fuzzy finite-time tracking control of uncertain non-affine multi-agent systems with input quantization
Xiangyu Fan (Air Force Engineering University China)
Peng Bai (Air Force Engineering University China)
L. I. Huanyu (Air Force Engineering University China)
Xiongfeng Deng (Anhui Polytechnic University)
Maolong Lyu (TU Delft - Team Bart De Schutter)
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Abstract
In this paper, the finite-time tracking control problem of a class of multi-agent systems with nonaffine functions and uncertain nonlinearity is investigated, which is different from the existing on high-order multi-agent systems with pure feedback forms. The multi-agent systems considered in this paper, moreover, the nonaffine functions and uncertain nonlinearities are completely unknown, and the input of each follower agent is quantized through a hysteresis quantizer. Based on the help of the fuzzy logic systems approximator, an adaptive fuzzy finite-time tracking control protocol with adaptive update laws is presented by the backstepping technique. On the basis of the finite-time stability strategy and Bhat and Bernstein theorem, the finite-time stability of designed control protocol is fully analyzed. Under the proposed control protocol, it is indicated that the tracking error of each follower agent can press on a small neighborhood in a finite time. Finally, the effectiveness of designed control protocol in this paper is analyzed by numerical examples.
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