Quantized Fuzzy Feedback Control for Electric Vehicle Lateral Dynamics
Xiao‐Heng Chang, Ximing Liu, Liwei Hou, Jing-Han Qi
Abstract
The problem of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathfrak{L}_{2}-\mathfrak{L}_{\infty}$</tex-math> </inline-formula> quantized feedback control for lateral dynamics of electric vehicles is investigated in this article, in which the nonlinear vehicle lateral is represented by the T–S fuzzy model. A novel Lyapunov function and two-step design strategy are introduced to design the controller and the quantizer, which guarantee the same <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathfrak{L}_{2}-\mathfrak{L}_{\infty}$</tex-math> </inline-formula> performance as without quantization. Compared with the existing results, the advantage of the proposed design strategy is that the coefficient can be set to change the adjustment range of the quantizer parameters, thereby reducing the conservative of the design. Finally, the co-simulation of MATLAB/Simulink and Carsim with a full-vehicle model is provided to demonstrate the effectiveness of the proposed design strategy.