{'fraction_non_alphanumeric': 0.023880597014925373, 'fraction_numerical': 0.0, 'mean_word_length': 5.212962962962963, '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}}
An LMI approach to design observer for unknown inputs Takagi‐Sugeno fuzzy models

This paper considers the design of an observer for a Takagi‐Sugeno (T‐S) fuzzy model subject to unknown inputs affecting states and outputs of the system simultaneously. Uncertainties affecting state matrices are also considered. Based on the Lyapunov method, sufficient conditions in Linear Matrix Inequalities (LMI) terms are proposed to design the given unknown input T‐S observer. In order to improve the performances of the proposed T‐S observer, the pole placement in an LMI region is also considered. An numerical example is given to illustrate the validity of the derived results.