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RISS 인기검색어
- 검색키워드
- 저자 : Jinwu Gao (검색결과 4 건)
- 무료
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- 유료
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Stability Analysis of Linear Uncertain Differential Equations
Chen, Xiaowei,Gao, Jinwu Korean Institute of Industrial Engineers 2013 Industrial Engineeering & Management Systems Vol.12 No.1
Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation driven by the canonical Liu process. Stability analysis on uncertain differential equation is to investigate the qualitative properties, which is significant both in theory and application for uncertain differential equations. This paper aims to study stability properties of linear uncertain differential equations. First, the stability concepts are introduced. And then, several sufficient and necessary conditions of stability for linear uncertain differential equations are proposed. Besides, some examples are discussed.
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Stability Analysis of Linear Uncertain Differential Equations
Xiaowei Chen,Jinwu Gao 대한산업공학회 2013 Industrial Engineeering & Management Systems Vol.12 No.1
Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation driven by the canonical Liu process. Stability analysis on uncertain differential equation is to investigate the qualitative properties, which is significant both in theory and application for uncertain differential equations. This paper aims to study stability properties of linear uncertain differential equations. First, the stability concepts are introduced. And then, several sufficient and necessary conditions of stability for linear uncertain differential equations are proposed. Besides, some examples are discussed.
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Xiaolei Ren,Jinwu Bai,Xingxing Gu,Hui Xu,Bochuan Tan,Shenying Xu,Jiangyu Hao,Fang Gao,Xin Li 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.113 No.-
Imidazo-pyridazine and Bromo/Chloro-Imidazo-pyridazines are employed as the inhibitors for Al alloy in0.1 M HCl and 0.5 M HCl solutions. The electrochemical tests and adsorption model analysis revealed thatthree compounds are mixed-type inhibitors and Imidazo-pyridazine exhibited the best anti-corrosionperformance for Al electrode in HCl solutions by physicochemical. From electrochemical results, the bestanti-corrosion efficiency is 88.1 % for Al in 0.5MHCl with 2.0mMIP, while the efficiency is 75.5 % for Al in0.5 M HCl with 1.0 mM IP. The different inhibition behaviors result from the probability of the formationof AlCladsand N-onium ions. The formation of adsorption is due to the electrostatic attraction betweenAlCladsand N-onium ions. The surface topography test revealed that the Imidazo-pyridazine is the best corrosionbarrier for Al in 0.5 M HCl. The dynamic simulation demonstrated that the inhibition molecules andprotonated molecules can adsorb on the Al surface spontaneously with parallel adsorption configuration nomatter in more or less Cl- atmosphere.
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Zhihang Shen,Yu Zhuang,Jie Zhou,Jinwu Gao,Rong Song 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.1
Although admittance control has been used in rehabilitation robots in many studies as it can realize compliant human-robot interaction, the inner proportional-integral-derivative (PID) controller of conventional admittance schemes is simple and not robust enough. This study presents an admittance control scheme with inner adaptive robust position control (ARC) for a hip-knee-ankle rehabilitation robot. The ARC is capable of eliminating uncertainties and external disturbances. A healthy male subject was required to perform three experiments, including passive exercise (PE) using a position controller, patient-cooperative exercise using an admittance controller (ACE) with fixed and different parameters. The PE experiment results show that the average normalized root mean square deviation (NRMSD) of trajectory tracking of each joint using the ARC is nearly 60% less than that using the PID controller. And the ACE experiment results show that the average NRMSD using the ARC is roughly 45% less than that using the PID controller while the interaction torque using the two controllers are comparable. It demonstrates that the robot becomes not only compliant but also robust based on the proposed control scheme. Moreover, the last experiment results indicate that admittance control with smaller admittance parameters allows the robot to be more compliant.
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