The primary objective of this article is to develop an interval type-2 (IT-2) fuzzy controller scheme for analyzing the stability properties of nonlinear permanent-magnet synchronous generator (PMSG)-based wind turbin...
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The primary objective of this article is to develop an interval type-2 (IT-2) fuzzy controller scheme for analyzing the stability properties of nonlinear permanent-magnet synchronous generator (PMSG)-based wind turbine system (WTS) under external disturbances and parameter uncertainties. More specifically, an IT-2 fuzzy nonfragile sampled-data controller (FNSDC) scheme is presented to reduce the impact of controller uncertainties and save information processing resources. First, the dynamics of PMSG-based WTS are represented by an IT-2 fuzzy modeling technique due to the nonlinearities in the proposed wind turbine model. Second, a new Auxiliary Polynomial-Based Integral Inequality (APBII) is introduced to estimate the quadratic integral terms involving the sampling-related information. Also, a relaxed APBII (RAPBII) is proposed as a special case of APBII to provide extra flexibility. Meanwhile, a novel double-sided looped Lyapunov functional (DSLLF) is constructed to reduce model conservatism, which utilizes the full advantage of actual sampling pattern characteristics. The main challenge of the study is how to design the FNSDC to guarantee the asymptotic stability conditions under the maximal sampling-data period for the addressed WTS in the presence of external disturbances and parameter uncertainties. For this purpose, by combing the DSLLF with the proposed integral inequalities, some less conservative sufficient criteria are derived in the context of the linear matrix inequalitys (LMIs) frameworks, and simultaneously, disturbance reduction is confirmed via an H-infinity control theory. Finally, to prove the effectiveness and applicability of the proposed theoretical observations, the numerical simulations of PMGS-based WTS are validated numerically by considering the experimental range of parameter values. And then, a comparative example is also given to emphasize the superiority and relevance of the proposed method. In addition to comparing with the existing li
In this article, the consensus problem of nonlinear multiagent systems (MASs) with time-varying communication delays (TVCDs) is addressed by proposing a novel nonfragile memory-based sampled-datacontrol approach. Dif...
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In this article, the consensus problem of nonlinear multiagent systems (MASs) with time-varying communication delays (TVCDs) is addressed by proposing a novel nonfragile memory-based sampled-datacontrol approach. Different from the existing sampled-datacontrol schemes, an improved memory-based proportional derivative like a sampled-datacontrol scheme based on the information of neighbors is proposed. Besides, considering the inaccuracy and perturbation of controller, a nonfragilecontrol method is also adopted to design the controller. Then, instead of the general quadratic type of the Lyapunov-Krasovskii functional, a delay-product-type quadratic is presented by taking full advantage of the information of TVCDs, and the positive definite constraint in the entire time domain is weakened to the sampled instants on account of adopting the two-sided looped-functional approach. Furthermore, less-conservative consensus criteria for MASs are developed. By solving linear matrix inequalities, the desired control gain matrices and larger sampled-data periods are achieved. Finally, illustrative examples are employed to demonstrate the effectiveness of the designed control strategy.
This paper focuses on the state estimation issue of T-S fuzzy Markovian generalized neural networks (GNNs) with reaction-diffusion terms. An estimator-based nonfragile time-varying proportional retarded sampled-data c...
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This paper focuses on the state estimation issue of T-S fuzzy Markovian generalized neural networks (GNNs) with reaction-diffusion terms. An estimator-based nonfragile time-varying proportional retarded sampled-datacontroller that permits norm-bounded indeterminacy and contains a time-varying delay is designed to guarantee the asymptotical stability of the error system. By establishing a novel Lyapunov-Krasovskii functional that involves positive indefinite items and discontinuous items, meanwhile, by combining the reciprocally convex combination method, Jenson's inequality and Wirtinger inequality, a less conservative stability criterion can be derived. Moreover, the principle for the number of selected variables in the process of deriving main results is also analyzed. Finally, two numerical examples are given to demonstrate the validity and advantages of the results proposed in this paper.
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