Metaheuristic-based optimization algorithms can be used to solve the complexities in estimating the parameters and states of a complex nonlinear process. In this work, a hybridized version of grey wolf optimizer is employed to solve the intricacies of a complex linear process using hybrid grey wolf optimization. The proposed algorithm is executed simultaneously in 2 steps: (a) predicting the parameters and states using grey wolf optimizer and (b) updating the predicted parameters using static modified Kalman-Bucy mechanism. The significance of the hybridization is that it improves the convergence rate towards an optimal solution and explores global optimum effectively over a complex search space. The performance of the proposed algorithm is tested through 10 typical benchmark functions and is compared with the parent algorithm, grey wolf optimizer, and conventional particle swarm optimization. Furthermore, the findings of the hybrid grey wolf optimization are compared with the outcomes of the conventional algorithms to establish the effectiveness of the proposed hybrid grey wolf optimization in process parameter estimation.