{'fraction_non_alphanumeric': 0.033296337402885685, 'fraction_numerical': 0.003329633740288568, 'mean_word_length': 5.263888888888889, '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}}
H 8 fuzzy control for time‐delay affine Takagi‐Sugeno fuzzy models: An ILMI approach

Abstract This paper deals with the fuzzy based H8 control problem for time‐delay affine Takagi‐Sugeno (T‐S) fuzzy models. A class of nonlinear time‐delay systems is approximated by a time‐delay affine T‐S fuzzy model in this paper. Based on Lyapunov‐Razumikhin theorem and S‐procedure, the stability and stabilization problems are solved by employing a Parallel Distributed Compensation (PDC) type H8 fuzzy controller. The synthesis for the time‐delay affine T‐S fuzzy models is a Bilinear Matrix Inequality (BMI) problem and it can not be solved via a convex optimization algorithm. Hence, an Iterative Linear Matrix Inequality (ILMI) algorithm is used to solve the BMI problems in this paper. Finally, a numerical simulation for a delayed pendulum system is given to show the applications of the present approach.