Zhuo Li

Bio: Zhuo Li is an academic researcher from University of California, Merced. The author has contributed to research in topics: Fractional calculus & System identification. The author has an hindex of 6, co-authored 12 publications receiving 213 citations. Previous affiliations of Zhuo Li include University of California, Berkeley & Utah State University.

A review and evaluation of numerical tools for fractional calculus and fractional order controls

Abstract: In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional integration/differentiation, and the simulation of fractional order systems. Time to time, being asked about which tool is suitable for a specific application, the authors decide to carry out this survey to present recapitulative information of the available tools in the literature, in hope of benefiting researchers with different academic backgrounds. With this motivation, the present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.

A review and evaluation of numerical tools for fractional calculus and fractional order control

Abstract: In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional integration/differentiation, and the simulation of fractional order systems. Time to time, being asked about which tool is suitable for a specific application, the authors decide to carry out this survey to present recapitulative information of the available tools in the literature, in hope of benefiting researchers with different academic backgrounds. With this motivation, the present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.

Take-Home Mechatronics Control Labs: A Low-Cost Personal Solution and Educational Assessment

Abstract: Control theory, once described as the “Physics of the 21st Century,” is pervading to almost all subjects of higher learning. However, it is a difficult topic for many students, especially when introduced at the undergraduate lower level. Providing hands-on experience is often a great aid for teaching difficult concepts, but for control theory forcing a hands-on component can distract from the learning if the students are unprepared. An effective control theory laboratory curriculum builds on the foundations of statics and dynamics, circuit theory, signal processing and programming course-work. However, undergraduate students have a limited educational experience and are typically lacking in one or more of those foundations. Coupled with the unfamiliarity of the common equipment found in teaching labs, students often find themselves overwhelmed and struggle with the setups, limiting their exposure to the topic of control theory. Some industry and education companies have introduced extensive control workstations to bring integrated control theory to a teaching laboratory; however these systems are expensive and specialized, limiting their reach and effectiveness. In this paper, a low-cost mechatronics control theory personal laboratory setup with a proposed curriculum is developed for undergraduate students that addresses their uncertain foundation and improves accessibility by introducing portability to maximize the learning outcomes.Copyright © 2013 by ASME

Identification of linear fractional order systems using the relay feedback approach

Abstract: The relay feedback approach has been used to identify integer order models. Fractional order systems are usually identified by many other approaches. Yet, using the relay feedback to identify a fractional order system has not been reported. This paper investigates this interesting and useful topic by means of extending the relay feedback identification method from integer order systems to a class of linear fractional order systems. Equations are derived for model parameter calculation. Simulation and experiments are presented to verify the feasibility and effectiveness of the proposed approach. I. INTRODUCTION data or need much knowledge of the system to be identified; hence, they lack the vitality in industry. In this paper, the identification of a fractional order plus dead time (FOPDT) model in frequency domain using the relay feedback approach is proposed. The describing function method is utilized as a tool to obtain the system information at the self-sustained oscillation point. Compared with the integer order systems, the difference lies in the equations for computing the model parameters, especially the fractional order, α. Thus, the major contribution of this paper is to generalize the equations for integer order models to fractional order models, which further reveals that the equations for IO systems are particular cases of those for FO systems. Simulation and experiments based on relay feedback tests at multiple frequency points are presented to demonstrate the proposed method. The benefits and limitations of this method are commented and the identification error is briefly discussed. The rest of the paper is organized as follows. First, the proposed method is elaborated through math derivations; then the implementation procedure of the method is demon- strated in simulation and an experiment, respectively; finally, the advantages, limitation and potential improvement are commented.

A Random Walk Down Wall Street

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A review and evaluation of numerical tools for fractional calculus and fractional order controls

Abstract: In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional integration/differentiation, and the simulation of fractional order systems. Time to time, being asked about which tool is suitable for a specific application, the authors decide to carry out this survey to present recapitulative information of the available tools in the literature, in hope of benefiting researchers with different academic backgrounds. With this motivation, the present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.