李旭光

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(一)时滞系统,网络控制系统,解析曲线
(二)“复杂系统稳定性分析与控制器设计”自动化求解工具箱的开发
- Xu-Guang Li, Silviu-Iulian Niculescu, Jun-Xiu Chen, and Tianyou Chai, “Characterizing PID controllers for linear time-delay systems: A parameter-space approach,” IEEE Transactions on Automatic Control, 66(10), 15 pages, 2021.(长文).
- Xu-Guang Li, Silviu-Iulian Niculescu, Arben Çela, Lu Zhang, Xu Li, “A Frequency-Sweeping Framework for Stability Analysis of Time-Delay Systems, ” IEEE Transactions on Automatic Control, 62, 3701-3716, 2017.(首页长文).
- Lu Zhang, Xu-Guang Li, Zhi-Zhong Mao, Jun-Xiu Chen, and Gao-Xia Fan, “Some new algebraic and geometric analysis for local stability crossing curves,” Automatica, 123, Article 109312, 12 pages, 2021.(长文).
- Xu-Guang Li, Lu Zhang, Xu Li, Jun-Xiu Chen, “Colored stability crossing sets for SISO delay systems, ” IEEE Transactions on Automatic Control, 63(11), 4016-4023, 2018.
- Xu.-Guang. Li, Silviu.-Iulian. Niculescu, Arben. Çela, Hong.-Hai. Wang, and Tiao.-Yang. Cai, “Invariance properties for a class of quasipolynomials,” Automatica, 50, 890-895, 2014..
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- Arben Çela, Mongi Ben Gaid, Xu-Guang Li, Silviu-Iulian Niculescu. Optimal Design of Distributed Control and Embedded Systems. Springer International Publishing, 2014.,2021
- Xu-Guang Li, Silviu-Iulian Niculescu, Arben Çela. Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays. Springer International Publishing, 2015.,2021
Topology Library of Asymptotic Behavior for Time-Delay Systems
CSA-T-TDS Toolbox
A MATLAB toolbox for complete stability problem w.r.t. delay of time-delay systems
The CSA-T-TDS toolbox is developed to study the complete stability problem w.r.t. the delay parameter for a time-delay system with commensurate delays. It is quite user-friendly and simple-to-implement, equipped with graphical user interface (GUI). The toolbox works in a semi-automatic manner. In most cases, the user does not need to manually revise the data when CSA-T-TDS performs the analysis.
PS : The “Complete stability problem w.r.t. delay” refers to the problem of studying stability property of a system along the whole delay axis. The solution of complete stability problem gives the entire delay set where the system is asymptotically stable. Please do not confuse the complete stability problem with the delay-independent stability problem. The latter is only to study whether a system is asymptotically stable for all non-negative delay values. The latter is “included” by the former.
Click to download the whole package in a zip file: CSATTDS Toolbox.zip (Last updated on 2021.6.25)
PID-Design-Delay Toolbox
A Matlab Toolbox for PID Controller Design for Time-Delay Systems
The proportional-integral-derivative (PID) controller design for time-delay systems is a classical and common problem with theoretical and practical significance. We consider a general case that all controller gains (kP,kI and kD) and delay (τ) are treated as free parameters. Our objective is to characterize stability set in the (kP, kI, kD, τ)-space. The problem is rather involved due to the mathematical difficulties. We developed a MATLAB-based toolbox, called PID-Design-Delay toolbox, based on some recent theoretical results. The user only needs to input the necessary information through the graphical user interface (GUI) and then the toolbox may automatically fulfill the analysis.
Click to download the whole package in a zip file: PID-Design-Delay Toolbox.zip (Last updated on 2020.5.31)
Click to open the manual of PID-Design-Delay Toolbox: Manual of PID-Design-Delay Toolbox.pdf
Click to download demo videos: PI Mode,
PD Mode,
PID Mode