{'fraction_non_alphanumeric': 0.012865497076023392, 'fraction_numerical': 0.0, 'mean_word_length': 5.6875, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Generalized synchronization for uncertain chaotic systems with different dimensions via adaptive fuzzy controller

The design of the generalized synchronization (GS) controller for the uncertain drive-response chaotic systems is investigated in this paper. The drive and response system models in this paper may possess different dimensions, unknown nonlinear structures and disturbances. Distinguished from the existing contributions, this paper applies the fuzzy logic system to approximate the unknown norm bound function of the uncertain structure. Therefore, only two fuzzy logic systems are needed to synthesize the adaptive GS controller for the drive and response systems no matter how many unknown nonlinear functions are there in their structures. A numerical example is given to verify the effectiveness of our theoretical result in this paper.