This paper deals with H∞ Filter based SLAM which is also known as minimax filter to estimate robot and landmarks location whose able to stand for non-gaussian noise characteristics. Based on our findings, by selecting appropriate γ and initial state covariance matrix in H ∞ Filter, the estimation results can show better performance in comparison to the Kalman Filter approach. From the analysis of convergence properties of H∞ Filter, it is found that the filter is capable to provide a reliable estimation. Besides, from the simulation results, H ∞ Filter produces better outcome than the Kalman Filter in the nonlinear case estimation. These condition subsequently provides alternative estimation techniques with the capability to ensure and improve estimation in the robotic mapping problem especially in SLAM.