Fuzzy Adaptive Fixed-Time Qantized Consensus Tracking Control of Power-Chained Nonlinear Multi-Agent Systems with Uncertainties

In this paper, a singularity-dispelled fixed-time quantized fuzzy adaptive control algorithm is developed to solve the consensus tracking control problem for power-chained nonlinear multi-agent systems with uncertainties, which is intrinsically challenging due to the existence of uncertain terms and high-power (positive odd integers greater than one) terms. More precisely, a more general fixed-time stability criterion which is available for approximation based control is construct- ed. Combining the fuzzy logic systems with adding one power integrator technique, an adaptive approximation policy is introduced to handle the system uncertainties. Moreover, a novel switching singularity dispelled function is delicately devised to handle the singularity issue in fixed-time control design. As for the input quantization, a variable separable lemma is utilized to extract the quantized signals in a linear-like manner. Numerical and practical simulation example are provided to demonstrate the effectiveness of the designed control scheme.