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arXiv 2019年

作者： Chen, YangQuan Wei, Yiheng Chen, Yuquan Wang, Yong Lab of Mechatronics Embedded Systems and Automation School of Engineering University of California Merced 5200 North Lake Road MercedCA95343 United States Lab of Vibration Control and Vehicle Control Department of Automation University of Science and Technology of China Anhui Hefei230026 China

Discrete fractional order systems have attracted more and more attention in recent years. Nabla Laplace transform is an important tool to deal with the problem of nabla discrete fractional order systems, but there is still much room for its development. In this paper, 14 lemmas are listed to conclude the existing properties and 14 theorems are developed to describe the innovative features. On one hand, these properties make the N-transform more effective and efficient. On the other hand, they enrich the discrete fractional order system theory. Copyright © 2019, The Authors. All rights reserved.

关键词： Laplace transforms

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Fractional-order sliding mode-extremum seeking control design with fractional-order PI sliding surface

Fractional-order sliding mode-extremum seeking control desig...

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第三十四届中国控制会议

作者： Chun Yin Yuhua Cheng Shou-ming Zhong Jiuwen Cao Zhuo Li School of Automation Engineering University of Electronic Science and Technology of China School of Mathematics Science University of Electronic Science and Technology of China Key Lab for IOT and Information Fusion Technology of Zhejiang Hangzhou Dianzi University Mechatronics Embedded Systems and Automation LabSchool of EngineeringUniversity of California

ISBN: (纸本)9781467374439

This paper proposes a fractional-order sliding mode-extremum seeking controller(FO SM-ESC) for optimal search of unknown nonlinear systems. The proposed FO SM-ESC combines extremum seeking controller with FO sliding mode dynamics,in which FO proportional-integral(PI) sliding surface is adopted. FO SM-ESC can not only guarantee the output near the optimum point but also own a faster convergence speed and higher accuracy than integer-order(IO) SM-ESC with proportional(P) sliding surface. Fair comparisons of the FO/IO SM-ESC via simulation results show the effectiveness of the proposed control method.

关键词： Fractional order extremum seeking control Fractional order proportional integral sliding surface Uncertain systems Tracking performance

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Robust stability and stabilization of uncertain fractional-order descriptor nonlinear system

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IFAC Proceedings Volumes 2014年第3期47卷 6080-6085页

作者： Chun Yin Yang Quan Chen Shou-ming Zhong School of Mathematics Science University of Electronic Science and Technology of China Chengdu 611731 P. R. China Mechatronics Embedded Systems and Automation (MESA) Lab School of Engineering University of California Merced 5200 North Lake Road Merced CA 95343 USA

This paper considers the robust stability for uncertain fractional-order (FO) descriptor nonlinear systems. A key analysis technique is enabled by proposed a fundamental boundedness lemma, for the first time. It is used for rigorous robust stability analysis of FO systems, especially for Mittag-Leffler stability analysis of FO nonlinear systems. More importantly, how to obtain a more accurate bound is analyzed to reduce conservative. An FO proportional-derivative controller is utilized to normalize the descriptor system. Furthermore, a criterion for stability of the normalized FO nonlinear system is provided by utilizing linear matrix inequality (LMI). Finally, two illustrative examples show the effectiveness of the proposed stability notion.

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Fractional-order power rate type reaching law for sliding mode control of uncertain nonlinear system

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IFAC Proceedings Volumes 2014年第3期47卷 5369-5374页

作者： Chun Yin YangQuan Chen Shou-ming Zhong School of Mathematics Science University of Electronic Science and Technology of China Chengdu 611731 P. R. China Mechatronics Embedded Systems and Automation (MESA) Lab School of Engineering University of California Merced 5200 North Lake Road Merced CA 95343 USA

This paper develops a fractional-order (FO) power rate type reaching law for sliding mode control (SMC) of nonlinear integer order systems with disturbance and uncertainty. The proposed FO power rate type reaching law, including an FO derivative function, is proven to ensure that the state trajectories achieve to the switching surface in a finite time. Most importantly, the calculation formula of the reaching time under the FO reaching law is provided, for the first time. The comparisons between the FO and IO reaching laws reveal the potential advantages of the FO reaching law. Furthermore, the criterion for stability of the sliding mode dynamics is provided by solving linear matrix inequality (LMI). Finally, simulation and experimental examples illustrate the effectiveness and advantage of the proposed control method.

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Application of Fractional Order Current Controller in Three Phase Grid-Connected PV systems

Application of Fractional Order Current Controller in Three ...

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American Control Conference

作者： Hadi Malek Sara Dadras YangQuan Chen Electrical and Computer Engineering Department Utah State University Logan Utah USA Mechatronics Embedded Systems and Automation (MESA) Lab MEAM/EECS School of Engineering University of California Merced Merced CA 95343 USA

ISBN: (纸本)9781479932757

The main purpose of this work is to develop a closed-loop fractional order control system for a three phase grid-connected photo-voltaic (PV) system. A two level three phase inverter with an inductive filter is chosen as a benchmark, due to the fact that this topology is more popular and simple in a grid connected PV system. A fractional order PI controller has been tuned for current control loop of the considered system and the system responses are compared with the responses of the closed loop system with integer order controller. Simulation results show the improvement in the performance of grid-connected PV system by using the fractional order controller.

关键词： THREE-PHASE fractional order current controller PI control control ring system response Closed loop systems BENCHMARKS

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Boundary stabilization and disturbance rejection for a time fractional order diffusion-wave equation ⁎

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IFAC-PapersOnLine 2020年第2期53卷 3695-3700页

作者： Hua-Cheng Zhou Ze-Hao Wu Bao-Zhu Guo Yangquan Chen School of Mathematics and Statistics Central South University Changsha 410075 PR China School of Mathematics and Big Data Foshan University Foshan 528000 PR China Academy of Mathematics and Systems Science Academia Sinica Beijing 100190 China Mechatronics Embedded Systems and Automation Lab University of California Merced 95343 CA USA

In this paper, we study the boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation involving Caputo time fractional derivative. When there is no boundary external disturbance, both state feedback control and output feedback control via boundary actuation are proposed by the classical backstepping method. It is proved that the state feedback makes the closed-loop system Mittag-Leffler stable while the output feedback makes the closed-loop system asymptotically stable. When there is boundary external disturbance, we propose a disturbance estimator which is constructed by two infinite dimensional auxiliary systems to recover the external disturbance. The resulting closed-loop system is Mittag-Leffler stable and the states of all subsystem involved are uniformly bounded. As a byproduct, we solve rigorously completely the two longtime unsolved problems raised in [Nonlinear Dynam., 38(2004), 339-354] where all the results are only verified by simulations.

关键词： Disturbance rejection fractional diffusion-wave equation Mittag-Leffler stability

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Plasma Impedance Matching Using Fractional Order Sliding Mode Based Extremum Seeking Control

Plasma Impedance Matching Using Fractional Order Sliding Mod...

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IEEE Annual Conference on Decision and Control

作者： Zhuo Li Chun Yin YangQuan Chen Mechatronics Embedded Systems and Automation (MESA) Lab School of Engineering University of California Merced 5200 North Lake Road Merced CA 95343 USA School of Automation Engineering University of Electronic Science and Technology of China Chengdu 611731 P. R. China

ISBN: (纸本)9781467360890

The extremum seeking control (ESC) is a model free approach for solving the online optimization control problems. In this paper, a general purpose ESC based on the fractional order sliding mode is presented with a suitable application on the plasma impedance matching. The principle and stability of the proposed control law are illustrated mathematically. Simulation is provided to show the effectiveness, necessity and worthiness of using this advanced control strategy. Remarks are given with regard to the implementation and potential research opportunities.

关键词： impedance matching extremum values control law fractional order Sliding mode Research Opportunities instruction mode Optimal control

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An Analysis of the Effect of the Bidirectional Reflectance Distribution Function on Remote Sensing Imagery Accuracy from Small Unmanned Aircraft systems

An Analysis of the Effect of the Bidirectional Reflectance D...

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International Conference on Unmanned Aircraft systems

作者： Brandon Stark Tiebiao Zhao YangQuan Chen Mechatronics Embedded Systems and Automation Lab School of Engineering University of California Merced Merced CA USA

ISBN: (纸本)9781467393355

Small Unmanned Aircraft systems (SUASs) are increasingly being utilized for remote sensing applications due to their low-cost availability and potential for the collection of high-resolution on-demand aerial imagery. However, the field is still maturing, and there remains many questions on the accuracy and the validity of the data collected. While many researchers have investigated means of improving calibrations and data collection techniques, there are other sources of error that require investigation. In this paper, two unique characteristics of SUAS remote sensing are analyzed as potential sources of error: the use of wide field-of-view (FOV) imaging sensors and solar motion during one or more data collection flights. Both of these characteristics are related to the bidirectional reflectance distribution function (BRDF), a description of light reflection as a function of illumination direction and observer viewing angles. The wide FOV of many imaging equipment creates an inherent radial variation in viewing angle, and the solar motion creates a non-static illumination source. The results of this paper indicates that these two factors have significant contributions to errors and should not be assumed to be negligible.

关键词： FOV SUASs BRDF

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Fractional order [Proportional Integral Derivative] Controller Design with Specification Constraints: More Flat Phase Idea

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IFAC-PapersOnLine 2020年第2期53卷 3650-3656页

作者： Zhenlong Wu Yuquan Chen Jairo Viola Ying Luo YangQuan Chen Donghai Li State Key Lab of Power System Department of Energy and Power Engineering Tsinghua University Beijing 100084 China Department of Automation University of Science and Technology of China Hefei 230026 China Mechatronics Embedded Systems and Automation (MESA) Lab School of Engineering University of California Merced CA 95343 US A. School of Mechanical Science & Engineering Huazhong University of Science and Technology Wuhan 430074 China

The fractional order proportional integral derivative controller is attracting more and more attention. To design a controller with some specification constraints for the first order plus time delay (FOPTD) system, the idea of the “more flat phase” and the structure of the fractional order [proportional integral derivative] (FO[PID]) controller are proposed in this paper. Firstly, the stability region of the FO[PID] controller and the controller design with the “more flat phase” are introduced. Then the design procedure is presented by a simulation, and the pseudo code of the design procedure to obtain the parameter pairs and the achievable region is offered. The effectiveness of the proposed design method for the FO[PID] controller is verified by the experiment on the Peltier temperature control platform and the experiment results show a great potential in industrial applications.

关键词： Fractional order [proportional integral derivative] controller specification constraints first order plus time delay system more flat phase the achievable region Peltier temperature control platform

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A Fractional-Order Reset ADRC Scheme for PMSM Speed Servo System

A Fractional-Order Reset ADRC Scheme for PMSM Speed Servo Sy...

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IEEE/ASME International Conference on Mechtronic and embedded systems and Applications, MESA

作者： Shaohua Wang He Gan Ying Luo Xiaohong Wang Yangquan Chen School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan China School of Automation Science and Engineering South China University and Technology Guangzhou China Department of Mechanical Engineering School of Engineering The Mechatronics Embedded Systems and Automation Lab University of California Merced Merced USA

ISBN: (数字)9798331516239

ISBN: (纸本)9798331516246

This paper presents a fractional-order reset active disturbance rejection control (FO-RADRC) strategy for the permanent magnet synchronous motor (PMSM) speed servo system. This approach integrates an extended state observer (ESO) with a fractional-order reset controller (FORC) to enhance system performance. The ESO accurately estimates and compensates for total disturbances, and the FORC realizes tracking performance improvement. Notably, a fractional-order full-reset Clegg integrator with a reset band (FOFCI δ ) is proposed to construct the FORC, thereby improving the performance of the traditional fractional-order Clegg integrator (FOCI). With the proposed FORADRC, the limit cycles typically observed in traditional reset control can be eliminated with disturbances. Simulation results illustrate that the proposed method can achieve rapid tracking response, significantly decreased overshoot, and superior disturbance rejection capability in PMSM speed control. Moreover, the performance can be optimized by tuning the fractional order and the reset band. Consequently, the proposed approach offers a promising solution to improve the performance of PMSM servo systems.

关键词： Robust control System performance Simulation Velocity control Limit-cycles Synchronous motors Permanent magnet motors Servomotors Tuning Oscillators

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