This paper introduces a new Runge–Kutta (RK) integration-based adaptive controller by considering control law as an ODE for nonlinear MIMO systems. It is aimed to derive a novel adaptive controller by regarding the control law as an ODE with limited information about control law structure. Adaptive parameters are adjusted via an RK predictive system model where Levenberg–Marquardt (LM) technique is deployed. The adjustment mechanism enables to utilize RK both in adaptive controller and system model. The performance evaluation has been delved into on Van de Vusse (VdV) system for diverse situations, and reasonable results have been acquired for introduced adaptation mechanism.

通过将控制律视为非线性MIMO系统的ODE，本文介绍了一种新的基于Runge-Kutta（RK）集成的自适应控制器。目的在于通过将控制律视为关于控制律结构的信息有限的ODE来推导新颖的自适应控制器。自适应参数通过RK预测系统模型进行调整，该模型采用了Levenberg-Marquardt（LM）技术。调节机制使得可以在自适应控制器和系统模型中同时利用RK。在各种情况下对Van de Vusse（VdV）系统进行了性能评估，并引入了适应机制取得了合理的结果。