Control Design With Optimization for Fuzzy Steering-by-Wire System Based on Nash Game Theory
针对含时变有界不确定性的动态系统，用模糊集描述不确定性，基于李雅普诺夫理论设计确定性控制器，并通过非合作博弈优化参数，最后在线控转向系统中验证。
In this article, we apply a high-order control to a dynamical system with uncertainty. There are two characteristics. First, the uncertain part, which is time-varying but bounded, is described in a fuzzy aspect. Specifically, the uncertainty lies within a fuzzy set and the bound is regarded as a fuzzy number. Second, the systems are uniformly bounded and uniformly ultimately bounded with a deterministic controller based on the Lyapunov theory. To obtain better system performance and lower control input, we apply the noncooperative game theory to optimize the parameters by establishing a Nash game. Then, the D-operation is proposed for the uncertainty related to fuzzy numbers. Finally, we perform the numerical simulations of the steering-by-wire system for verification.