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This paper is concerned with the output tracking problem for a class of nonlinear systems represented by polynomial T–S fuzzy model. The input saturation and external disturbances are considered simultaneously. Static output-feedback fuzzy controllers are designed such that the resulting closed-loop system is locally stable and satisfies a regional H ∞ performance from the disturbance to tracking error. The guarantee of cost function is also considered during the design procedure. Sufficient conditions ensuring the existence of the desired controllers are obtained in terms of polynomial matrix inequalities, which could be solved by using the sum-of-squares (SOS) tools in Matlab. A numerical example is provided finally to illustrate the effectiveness of the proposed design method. [ABSTRACT FROM AUTHOR]

This paper addresses the distributed online bandit linear regression problems with privacy protection, in which the training data are spread in a multi-agent network. Each node identifies a linear predictor to fit the training data and experiences a square loss on each round. The purpose is to minimize the regret that assesses the difference of the accumulated loss between the online linear predictor and the optimal offline linear predictor. Moreover, the differential privacy strategy is adopted to prevent the adversary from inferring the parameter vector of any node. Two efficient differentially private distributed online regression algorithms are developed in the cases of one-point and two-point bandit feedback. Our analysis suggests that the developed algorithms achieve ϵ -differential privacy and establish the regret upper bounds in O (K 3 / 4) and O (K) for one-point and two-point bandit feedback, respectively, where K is the time horizon. We also show that there exists a tradeoff between our algorithms' privacy level and convergence. Finally, the performance of the proposed algorithms is validated by a numerical example. [ABSTRACT FROM AUTHOR]

A biochar composite loaded with nZVI particles and MoS2nanosheets (nZVI/MoS2-BC) was prepared by calcination and hydrothermal methods, and could activate peroxymonosulfate (PMS) more efficiently to produce reactive oxygen species (ROSs) for refractory organics degradation. Due to the interaction between nZVI and MoS2, the reaction sites increased with nZVI dispersing more evenly and multitudinous MoS2growing on the surface of biochar. PMS activated by nZVI/MoS2-BC produced SO4·-, ·OH, O2·-and 1O2to degrade pollutants. In addition, the increase of specific surface area and electrical conductivity accelerated the electron transfer from pollutions to metastable PMS to achieve pollutant degradation. The effects of catalyst dosage, PMS dosage, pH, inorganic anions and humic acid, and Cl-concentration in catalytic oxidation system were investigated. nZVI/MoS2-BC was regenerated by calcination at 300 ℃ after four cycles, and could still keep higher rhodamine B (Rh-B) removal (90.88%). Various pollutants removal efficiency could reach greater than 80% in nZVI/MoS2-BC catalytic oxidation system, such as Rh-B, methylene blue, chloramphenicol, tetracycline and bisphenol A. The combination of H2O2and PMS could greatly reduce the cost, improve the pollutant removal and shorten the reaction time by changing the interval time and content ratio of oxidants addition. nZVI/MoS2-BC applied to the H2O2/PMS double oxidation system exhibited excellent removal capability of pollutants. The intermediates of Rh-B were analyzed and the degradation pathways were proposed in nZVI/MoS2-BC and H2O2/PMS double oxidation system.