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Convex embedding-based homogeneous finite-time stabilization☆

Abstract

This paper proposes a convex embedding -based homogeneous finite -time controller design method for a class of nonlinear systems. The controlled system is first converted into a convex combination of linear systems. By utilizing a parallel distributed compensation approach, we derive a homogeneous stabilization condition for the control systems. The condition is expressed in the form of a set of linear matrix inequalities (LMIs). Finite -time stability is guaranteed by using a canonical homogeneous norm as a Lyapunov function. The homogeneous finite -time controller is obtained by solving the LMIs. The hybrid Van der Pol-Rayleigh system with an unstable limit cycle is used as an example to demonstrate how effectively the controller design performs. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

article Article

date_range 2024

language English

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Kuntanapreeda Suwat

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Featured Keywords

Homogeneous control

Finite-time stabilization

Convex embedding

Tensor product model transformation

Linear matrix inequality

Van der Pol-Rayleigh system

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Effect of corrosion on flexural strength of reinforced concrete beams with polypropylene fibers

Abstract

An experimental study was performed to investigate the effects of polypropylene fibers on uncorroded and corroded reinforced concrete beams. Three different volume fractions of polypropylene fibers having 0, 0.5, and 1.5%, were tested at four corrosion levels of 0% and approximately 5, 7, and 9%. A full scale of an accelerated corrosion pool was used for the accelerated corrosion process. Reinforced concrete beams were used for an under monotonic bending test. The contribution of the actual corrosion levels of transverse and longitudinal reinforcement bars to the total corrosion levels were obtained from reinforcement bars fully extracted from concrete. Flexural strength, bond-slip, and moment-curvature relationships were examined for uncorroded and corroded reinforced concrete beams. A new model was developed to predict the flexural strength of corroded reinforced concrete beams. The proposed model for predicting the residual flexural strength of corroded beams was compared with test data published in previous studies. Furthermore, a novel model is presented for improved predictions between the actual and theoretically estimated corrosion mass losses, based on Faraday’s law, with the aid of fully extracted reinforcement bars. The model used to predict the flexural strength of corroded reinforced concrete beams with large sizes demonstrated good agreement with current and previously published literature data. In the case of corroded beams comprising differing amounts of polypropylene fibers, the performance of the corroded beams was limited by a fiber volume fraction of 1.5% at low corrosion levels.

article Article

date_range 2018

language English

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