This work discusses the design of a Laguerre polynomial (LP)‐based control technique to govern the functioning of a single‐phase grid connected to a voltage source converter (VSC). The controller is trained online using the least means square (LMS) approach to compute the load fundamental current. The controller is designed to alleviate power quality (PQ) issues and work in different modes. Apart from the normal operation mode, the controller is provided with an additional capability to ride over voltage sags caused by grid faults. During this low‐voltage ride‐through (LVRT) mode, the VSC injects the required reactive power to grid. The work demonstrates the results under normal grid conditions when the system can function in unity power factor (UPF) as well as in abnormal grid conditions when it needs to operate in LVRT mode. Extensive simulation and experimental results under various cases have been discussed with the proposed LP‐based controller to demonstrate the feasibility of the approach.