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- 저자 : Dazi Li (검색결과 2 건)
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Fractional Order IMC Controller Design for Two-input-two-output Fractional Order System
Dazi Li,Xingyu He,Tianheng Song,Qibing Jin 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.4
Research on the fractional order system is becoming more and more popular. Most of the fractional ordercontroller design methods focus on single-input-single-output processes. In this paper, a fractional order internalmodel controller with inverted decoupling is proposed to handle non-integer order two-input-two-output systemswith time delay. The fractional order two-input-two-output (FO-TITO) process is decoupled by inverted decouplingmethod. The fractional order internal model control (IMC) is then used to simplify the tuning process. Because ofthe complexity of multiple time delay, the condition of FO-TITO process with time delay is discussed. In order toensure the robustness of the system, a Maximum sensitivity function is used to tune the parameters. Then Lyapunovstability theory is applied to verify the stability of the system. The proposed controller provides ideal performancefor both set point-tracking and disturbance rejection and is robust to process gain variations. Numerical resultsshow the performance of the proposed method.
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Study on Asymptotic Stability of Fractional Singular Systems with Time Delay
Dazi Li,Liming Wei,Tianheng Song,Qibing Jin 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.4
The stability of fractional singular systems with time delay is discussed. Considering the singularity of the system, a system is decomposed into two subsystems. Through fractional Laplacian transformation and inverse Laplacian transformation on the subsystems, the expression of the state variables in time domain is obtained. According to the characteristics of Mittag-Leffler function, some inequalities that have important influence on stability are derived. Finally, a new sufficient condition is found to make the fractional singular systems with time delay asymptotically stable when the fractional order belongs to1 < α < 2. Meanwhile, the sufficient condition is also obtained to make the system stable under the nonlinear disturbance. All processes are proved and numerical examples are provided to show the validity and feasibility of the proposed method.
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