High susceptibility of deep learning algorithms against structured and unstructured perturbations has motivated the development of efficient adversarial defense algorithms. However, the lack of generalizability of existing defense algorithms and the high variability in the performance of the attack algorithms for different databases raises several questions on the effectiveness of the defense algorithms. In this research, we aim to design a defense model that is robust within the certain bound against both seen and unseen adversarial attacks. This bound is related to the visual appearance of an image and we termed it as \textit{Visual Imperceptible Bound (VIB)}. To compute this bound, we propose a novel method that uses the database characteristics. The VIB is further used to compute the effectiveness of attack algorithms. In order to design a defense model, we propose a defense algorithm which makes the model robust within the VIB against both seen and unseen attacks. The performance of the proposed defense algorithm and the method to compute VIB are evaluated on MNIST, CIFAR-10, and Tiny ImageNet databases on multiple attacks including C\&W ($l_2$) and DeepFool. The proposed defense algorithm is not only able to increase the robustness against several attacks but also retain or improve the classification accuracy on an original clean test set. Experimentally, it is demonstrated that the proposed defense is better than existing strong defense algorithms based on adversarial retraining. We have additionally performed the PGD attack in white box settings and compared the results with the existing algorithms. The proposed defense is independent of the target model and adversarial attacks, and therefore can be utilized against any attack.